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Paul R Halmos-Lester R Ford Award
The Paul R Halmos-Lester R Ford Award recognize authors of articles of expository excellence published in The American Mathematical Monthly. This award is $1,000 and up to four awards may be awarded each year. The awards were established by the Mathematical Association of America in 1964 as the Ford awards, named for Lester R Ford, Sr., a distinguished mathematician, editor of The American Mathematical Monthly, 1942-1946, and President of the Mathematical Association of America, 1947-1948. In 2012, the Board of Governors designated these awards as the Paul R Halmos-Lester R Ford Awards to recognise the support for the awards provided by the Halmos family and to recognise Paul R Halmos, a distinguished mathematician and editor of The Monthly, 1982-1986.
1965
R H Bing received the Award for the paper:
Spheres in E3, The American Mathematical Monthly 71 (1964), 353-364.
Louis Brand received the Award for the paper:
A Division Algebra for Sequences and Its Associated Operational Calculus, The American Mathematical Monthly 71 (1964), 719-728.
Robert G Kuller received the Award for the paper:
Coin tossing, probability, and the Weierstrass approximation theorem, Mathematics Magazine 37 (1964), 262-267.
R Duncan Luce received the Award for the paper:
The Mathematics Used in Mathematical Psychology, The American Mathematical Monthly 71 (1964), 364-378.
Hartley Rogers, Jr. received the Award for the paper:
Information Theory, Mathematics Magazine 37 (1964), 63-78.
Elmer Tolsted received the Award for the paper:
An Elementrary Derivation of Cauchy, Holder, and Minkowski Inequalities From Young's Inequality, Mathematics Magazine 37 (1964), 2-12.
1966
Carl B Allendoerfer received the Award for the paper:
Generalizations of theorems about triangles, Mathematics Magazine 38 (1965), 253-259.
Peter D Lax received the Award for the paper:
Numerical solutions of partial differential equations, The American Mathematical Monthly 72 (2) (1965), 78-84.
Marvin Marcus and Henryk Minc received the Award for the paper:
Permanents, The American Mathematical Monthly 72 (1965), 577-591.
1967
Wai-Kai Chen received the Award for the paper:
Boolean matrices and switching nets, Mathematics Magazine 39 (1966), 1-8.
D R Fulkerson received the Award for the paper:
Flow networks and combinatorial operations research, The American Mathematical Monthly 73 (1966), 115-138.
Mark Kac received the Award for the paper:
Can one hear the shape of a drum?, The American Mathematical Monthly 73 (1966), Part II, 1-23.
M Zuhair Nashed received the Award for the paper:
Some remarks on variations and differentials, The American Mathematical Monthly 73 (1966), Part II, 63-76.
Paul B Yale received the Award for the paper:
Automorphisms of the complex numbers, Mathematics Magazine 39 (1966), 135-141.
1968
Frederick Cunningham, Jr. received the Award for the paper:
Taking limits under the integral sign, Mathematics Magazine 40 (1967), 179-186.
W F Newns received the Award for the paper:
Functional Dependence, The American Mathematical Monthly 74 (1967), 911-920.
Daniel Pedoe received the Award for the paper:
On a Theorem in Geometry, The American Mathematical Monthly 74 (1967), 627-640.
Keith L Phillips received the Award for the paper:
The Maximal Theorems of Hardy and Littlewood, The American Mathematical Monthly 74 (1967), 648-660.
F V Waugh and Margaret W Maxfield received the Award for the paper:
Side-and-Diagonal numbers, Mathematics Magazine 40 (1967), 74-83.
Hans J Zassenhaus received the Award for the paper:
On the fundamental theorem of algebra, The American Mathematical Monthly 74 (1967), 485-497.
1969
Harley Flanders received the Award for the paper:
A proof of Minkowski's inequality for convex curves, The American Mathematical Monthly 75 (1968), 581-593.
George Forsythe received the Award for the paper:
What to do till the computer scientist comes, The American Mathematical Monthly 75 (1968), 454-462.
Marcel F Neuts received the Award for the paper:
Are many 1-1 functions on the positive integers onto?, Mathematics Magazine 41, (1968) 103-109.
Pierre Samuel received the Award for the paper:
Unique Factorization, The American Mathematical Monthly 75 (1968), 945-952.
Hassler Whitney received the Award for the paper:
The mathematics of physical quantities, The American Mathematical Monthly 75 (1968), 115-138; 227-256.
Albert Wilansky received the Award for the paper:
Spectral decomposition of matrices for high school students Mathematics Magazine 41 (1968), 51-59.
1970
Henry L Alder received the Award for the paper:
Partition identities - from Euler to the present, The American Mathematical Monthly 76 (1969), 733-746.
Ralph P Boas received the Award for the paper:
Inequalities for the derivatives of polynomials, Mathematics Magazine 42 (1969), 165-174.
William A Coppel received the Award for the paper:
J.B. Fourier - on the occasion of his two hundredth birthday, The American Mathematical Monthly 76 (1969), 468-483.
Norman Levinson received the Award for the paper:
A motivated account of an elementary proof of the prime number theorem, The American Mathematical Monthly 76 (1969), 225-245.
John Milnor received the Award for the paper:
A problem in cartography, The American Mathematical Monthly 76 (1969), 1101-1112.
Ivan Niven received the Award for the paper:
Formal power series, The American Mathematical Monthly 76 (1969), 871-889.
1971
Jean A Dieudonné received the Award for the paper:
The work of Nicholas Bourbaki, The American Mathematical Monthly 77 (1970), 134-145.
George Forsythe received the Award for the paper:
Pitfalls in computation, or why a math book isn't enough, The American Mathematical Monthly 77 (1970), 931-956.
Paul R Halmos received the Award for the paper:
Finite-dimensional Hilbert spaces, The American Mathematical Monthly 77 (1970), 457-464.
Eric Langford received the Award for the paper:
A problem in geometric probability, Mathematics Magazine 43 (1970), 237-244.
Peter V O'Neil received the Award for the paper:
Ulam's conjecture and graph reconstructions, The American Mathematical Monthly 77 (1970), 35-43.
Olga Taussky received the Award for the paper:
Sums of squares, The American Mathematical Monthly 77 (1970), 805-830.
1972
Gulbank D Chakerian and Lester H Lange received the Award for the paper:
Geometric extremum problems, Mathematics Magazine 44 (1971), 57-69.
Paul M Cohn received the Award for the paper:
Rings of fractions, The American Mathematical Monthly 78 (1971), 596-615.
Frederick Cunningham, Jr. received the Award for the paper:
The Kakeya problem for simply connected and for star-shaped Sets, The American Mathematical Monthly 78 (1971), 114-129.
W J Ellison received the Award for the paper:
Waring's problem, The American Mathematical Monthly 78 (1971) 10-36.
Leon Henkin received the Award for the paper:
Mathematical foundations for mathematics, The American Mathematical Monthly 78 (1971), 463-487.
Victor Klee received the Award for the paper:
What is a convex set?, The American Mathematical Monthly 78 (1971), 616-631.
1973
Jean A Dieudonné received the Award for the paper:
The historical development of algebraic geometry, The American Mathematical Monthly 79 (1972), 827-866.
Samuel Karlin received the Award for the paper:
Some mathematical models of population genetics, The American Mathematical Monthly 79 (1972), 699-739.
Peter D Lax received the Award for the paper:
The formation and decay of shock waves, The American Mathematical Monthly 79 (1972), 227-241.
Thomas L Saaty received the Award for the paper:
Thirteen colorful variations on Guthrie's four-color conjecture, The American Mathematical Monthly 79 (1972) 2-43.
Lynn A Steen received the Award for the paper:
Conjectures and counterexamples in metrization theory, The American Mathematical Monthly 79 (1972), 113-132.
Raymond L Wilder received the Award for the paper:
History in the mathematics curriculum: Its status, equality, and function, The American Mathematical Monthly 79 (1972), 479-495.
1974
Patrick Billingsley received the Award for the paper:
Prime numbers and Brownian motion, The American Mathematical Monthly 80 (1973), 1099-1115.
Garrett Birkhoff received the Award for the paper:
Current trends in algebra, The American Mathematical Monthly 80 (1973), 760-782.
Martin D Davis received the Award for the paper:
Hilbert's tenth problem is unsolvable, The American Mathematical Monthly 80 (1973), 233-269.
Isaac J Schoenberg received the Award for the paper:
The elementary cases of Landau's problem of inequalities between derivatives, The American Mathematical Monthly 80 (1973), 121-158.
Lynn A Steen received the Award for the paper:
Highlights in the history of spectral theory, The American Mathematical Monthly 80 (1973), 359-381.
Robin J Wilson received the Award for the paper:
An introduction to matroid theory, The American Mathematical Monthly 80 (1973), 500-525.
1975
Raymond Ayoub received the Award for the paper:
Euler and the zeta function, The American Mathematical Monthly 81 (1974), 1067-86.
J Callahan received the Award for the paper:
Singularities and plane maps, The American Mathematical Monthly 81 (1974), 211-240.
Donald E Knuth received the Award for the paper:
Computer science and its relation to mathematics, The American Mathematical Monthly 81 (1974), 323-343.
Johannes C C Nitsche received the Award for the paper:
Plateau's problems and their modern ramifications, The American Mathematical Monthly 81 (1974), 945-968.
Sherman K Stein received the Award for the paper:
Algebraic tiling, The American Mathematical Monthly 81 (1974), 445-462.
Lawrence Zalcman received the Award for the paper:
Real proofs of complex theorems (and vice versa), The American Mathematical Monthly 81 (1974), 115-137.
1976
Michel L Balinski and H P Young received the Award for the paper:
The quota method of apportionment, The American Mathematical Monthly 82 (1975), 701-730.
Edward A Bender and J R Goldman received the Award for the paper:
On the applications of Mö inversion in combinatorial analysis, The American Mathematical Monthly 82 (1975), 789-803.
Branko Grünbaum received the Award for the paper:
Venn diagrams and independent families of sets, The American Mathematical Monthly 82 (1975), 12-23.
James E Humphreys received the Award for the paper:
Representations of SL (2,p), The American Mathematical Monthly 82 (1975), 21-39.
Joseph B Keller and David W McLaughlin received the Award for the paper:
The Feynman integral, The American Mathematical Monthly 82 (1975), 451-465.
Justin J Price received the Award for the paper:
Topics in orthogonal functions, The American Mathematical Monthly 82 (1975), 594-609.
1977
Shreeram Abhyankar received the Award for the paper:
Historical ramblings in algebraic geometry and related algebra, The American Mathematical Monthly 83 (1976), 409-448.
Joseph B Keller received the Award for the paper:
Inverse problems, The American Mathematical Monthly 83 (1976), 107-118.
Donald S Passman received the Award for the paper:
What is a group ring?, The American Mathematical Monthly 83 (1976), 173-185.
Douglas Wiens, Hideo Wada, Daihachiro Sato and James P Jones received the Award for the paper:
Diophantine representation of the set of prime numbers, The American Mathematical Monthly 83 (1976), 449-464
William P Ziemer, William H Wheeler, S H Moolgavkar, Paul R Halmos, John H Ewing and William H Gustafson received the Award for the paper:
American mathematics from 1940 to the day before yesterday, The American Mathematical Monthly 83 (1976), 503-516.
1978
Ralph P Boas received the Award for the paper:
Partial sums of infinite series, and how they grow, The American Mathematical Monthly 84 (1977), 237-258.
Louis H Kauffman and Thomas F Banchoff received the Award for the paper:
Immersions and Mod-2 quadratic forms, The American Mathematical Monthly 84 (1977), 168-185.
Neil J A Sloane received the Award for the paper:
Error correcting codes and invariant theory: new applications of a 19th century technique, The American Mathematical Monthly 84 (1977), 82-107.
1979
Bradley Efron received the Award for the paper:
Controversies in the foundations of statistics, The American Mathematical Monthly 85 (1978), 231-246.
Ned Glick received the Award for the paper:
Breaking records and breaking boards, The American Mathematical Monthly 85 (1978), 2-26.
Kenneth I Gross received the Award for the paper:
On the evolution of noncommutative harmonic analysis, The American Mathematical Monthly 85 (1978), 525-548.
Joseph B Kruskal and Lawrence A Shepp received the Award for the paper:
Computerized tomography: the new medical x-ray technology, The American Mathematical Monthly 85 (1978), 420-439.
1980
Desmond Fearnley-Sander received the Award for the paper:
Hermann Grassmann and the creation of linear algebra, The American Mathematical Monthly 86 (1979), 809-817.
David Gale received the Award for the paper:
The game of Hex and the Brouwer fixed-point theorem, The American Mathematical Monthly 86 (1979), 818-827.
Karel Hrbacek received the Award for the paper:
Nonstandard set theory, The American Mathematical Monthly 86 (1979), 659-677.
Cathleen S Morawetz received the Award for the paper:
Nonlinear conservation equations, The American Mathematical Monthly 86 (1979), 284-287.
Robert Osserman received the Award for the paper:
Bonnesen-style isoperimetric inequalities, The American Mathematical Monthly 86 (1979), 1-29.
1981
R Creighton Buck received the Award for the paper:
Sherlock Holmes in Babylon, The American Mathematical Monthly 87 (1980), 335-345.
Bruce H Pourciau received the Award for the paper:
Modern multiplier rules, The American Mathematical Monthly 87 (1980), 433-452.
Alan H Schoenfeld received the Award for the paper:
Teaching problem-solving skills, The American Mathematical Monthly 87 (1980), 794-805.
Edward R Swart received the Award for the paper:
The philosophical implications of the four-color problem, The American Mathematical Monthly 87 (1980), 697-707.
Lawrence A Zalcman received the Award for the paper:
Offbeat integral geometry, The American Mathematical Monthly 87 (1980), 161-175.
1982
Philip Davis received the Award for the paper:
Are there coincidences in mathematics?, The American Mathematical Monthly 88 (1981), 311-320.
R Arthur Knoebel received the Award for the paper:
Exponentials reiterated, The American Mathematical Monthly 88 (1981), 235-252.
1983
Robert F Brown received the Award for the paper:
The Fixed Point Property and Cartesian Products, The American Mathematical Monthly 89 (1982), 654-678.
Tony Rothman received the Award for the paper:
Genius and Biographers: The Fictionalization of Evariste Galois, The American Mathematical Monthly 89 (1982), 84-106.
Robert S Strichartz received the Award for the paper:
Radon inversion - variations on a theme, The American Mathematical Monthly 89 (1982) 377-384; 420-423.
1984
Judith Grabiner received the Award for the paper:
Who gave you the epsilon? Cauchy and the origins of rigorous calculus, The American Mathematical Monthly 90 (1983), 185-194.
Roger Howe received the Award for the paper:
Very basic Lie theory, The American Mathematical Monthly 90 (1983), 600-623.
John Milnor received the Award for the paper:
On the geometry of the Kepler problem, The American Mathematical Monthly 90 (1983), 353-365.
Joel Spencer received the Award for the paper:
Large numbers and unprovable theorems, The American Mathematical Monthly 90 (1983), 365-366.
William C Waterhouse received the Award for the paper:
Do symmetric problems have symmetric solutions?, The American Mathematical Monthly 90 (1983), 378-387.
1985
John D Dixon received the Award for the paper:
Factorization and primality tests, The American Mathematical Monthly 91 (1984), 333-352.
Donald G Saari and John B Urenko received the Award for the paper:
Newton's method, circle maps, and chaotic motion, The American Mathematical Monthly 91 (1984), 3-17.
1986
Jeffrey C Lagarias received the Award for the paper:
The 3x + 1 problem and its generalizations, The American Mathematical Monthly 92 (1985), 3-23.
Michael E Taylor received the Award for the paper:
Book Review of The Analysis of Linear Partial Differential Operators, Vols I & II by Lars Hö, The American Mathematical Monthly 92 (1985), 745-749.
1987
Stuart S Antman received the Award for the paper:
Book Review of A Convergence of Lives, Sofia Kovalevskaia: scientist, writer, revolutionary, by A Hibner Koblitz, The American Mathematical Monthly 93 (1986), 139-144.
Joan Cleary, Sidney Morris and David Yost received the Award for the paper:
Numerical geometry - numbers for shapes, The American Mathematical Monthly 93 (1986), 260-275.
Howard Hiller received the Award for the paper:
Crystallography and cohomology of groups, The American Mathematical Monthly 93 (1986), 765-779.
Jacob Korevaar received the Award for the paper:
Bieberbach's conjecture and its proof by Louis de Branges, The American Mathematical Monthly 93 (1986), 505-514.
Peter M Neumann received the Award for the paper:
Book Review of Galois Theory by Harold M Edwards, The American Mathematical Monthly 93 (1986), 407-411.
1988
James Epperson received the Award for the paper:
On the Runge example, The American Mathematical Monthly 94 (1987), 329-341.
Stan Wagon received the Award for the paper:
Fourteen proofs of a result about tiling a rectangle, The American Mathematical Monthly 94 (1987), 601-617.
1989
Gert Almkvist and Bruce Berndt received the Award for the paper:
Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, pi and the Ladies Diary, The American Mathematical Monthly 95 (1988), 585-608.
Richard K Guy received the Award for the paper:
The strong law of small numbers, The American Mathematical Monthly 95 (1988), 697-712.
1990
Jacob Goodman, Janos Pach and Chee K Yap received the Award for the paper:
Mountain climbing, ladder moving, and the ring-width of a polygon, The American Mathematical Monthly 96 (1989), 494-510.
Doron Zeilberger received the Award for the paper:
Kathy O'Hara's constructive proof of the unimodality of the Gaussian polynomials, The American Mathematical Monthly 96 (1989), 590-602.
1991
Marcel Y Berger received the Award for the paper:
Convexity, The American Mathematical Monthly 97 (1990), 650-678.
Ronald Graham and Frances Yao received the Award for the paper:
A whirlwind tour of computational geometry, The American Mathematical Monthly 97 (1990), 687-701.
Joyce Justicz, Edward R Scheinerman and Peter Winkler received the Award for the paper:
Random intervals, The American Mathematical Monthly 97 (1990), 881-889.
1992
Clement W H Lam received the Award for the paper:
The search for a finite projective plane of order 10, The American Mathematical Monthly 98 (1991), 305-318.
1993
Carsten Thomassen received the Award for the paper:
The Jordan-Schoenflies Theorem and the classification of surfaces, The American Mathematical Monthly 99 (1992), 116-130.
Don Knuth received the Award for the paper:
Two notes on notation, The American Mathematical Monthly 99 (1992), 403-422.
1994
Bruce C Berndt and S Bhargava received the Award for the paper:
Ramanujan-for lowbrows, The American Mathematical Monthly 100 (1993), 644-656.
Edgar R Lorch (Reuben Hersh, editor) received the Award for the paper:
Szeged in 1934, The American Mathematical Monthly 100 (1993), 219-230.
Leonard Gillman received the Award for the paper:
An axiomatic approach to the integral, The American Mathematical Monthly 100 (1993), 16-25.
Joseph H Silverman received the Award for the paper:
Taxicabs and sums of two cubes, The American Mathematical Monthly 100 (1993), 331-340.
Dan Velleman and Istvan Szalkai received the Award for the paper:
Versatile coins, The American Mathematical Monthly 100 (1993), 26-33.
1995
Fernando Q Gouvea received the Award for the paper:
A marvelous proof, The American Mathematical Monthly 101 (1994), 203-222.
Robert Gray received the Award for the paper:
Georg Cantor and transcendental numbers, The American Mathematical Monthly 101 (1994), 819-832.
Jonathan L King received the Award for the paper:
Three problems in search of a measure, The American Mathematical Monthly 101 (1994), 609-628.
I Kleiner and N Movshovitz-Hadar received the Award for the paper:
The role of paradoxes in the evolution of mathematics, The American Mathematical Monthly 101, (1994), 963-974.
William C Waterhouse received the Award for the paper:
A counterexample for Germain, The American Mathematical Monthly 101 (1994), 140-150.
1996
Martin Aigner received the Award for the paper:
Turan's Graph Theorem, The American Mathematical Monthly 102 (1995), 808-816.
Sheldon Axler received the Award for the paper:
Down with determinants!, The American Mathematical Monthly 102 (1995), 139-154.
John Oprea received the Award for the paper:
Geometry and the Foucault Pendulum, The American Mathematical Monthly 102 (1995), 515-522.
1997
Robert G Bartle received the Award for the paper:
Return to the Riemann integral, The American Mathematical Monthly 103 (1996), 625-632.
A F Beardon received the Award for the paper:
Sums of powers of integers, The American Mathematical Monthly 103 (1996), 201-213.
John Brillhart and Patrick Morton received the Award for the paper:
A case study in mathematical research: The Golay-Rudin-Shapiro Sequence, The American Mathematical Monthly 103 (1996), 854-869.
1998
S C Coutinho received the Award for the paper:
The many avatars of a simple algebra, The American Mathematical Monthly 104 (1997), 593-604.
Judith V Grabiner received the Award for the paper:
Was Newton's calculus a dead end? The continental influence of Maclaurin's Treatise of Fluxions, The American Mathematical Monthly 104 (1997), 393-410.
Bruce Pourciau received the Award for the paper:
Reading the Masters: Newton and the birth of celestial mechanics, The American Mathematical Monthly 104 (1997), 1-19.
1999
Yoav Benyamini received the Award for the paper:
Applications of the universal surjectivity of the Cantor set, The American Mathematical Monthly 105 (1998), 832-839.
Jerry L Kazdan received the Award for the paper:
Solving equations, an elegant legacy, The American Mathematical Monthly 105 (1998), 1-21.
Bernd Sturmfels received the Award for the paper:
Polynomial equations and convex polytopes, The American Mathematical Monthly 105 (1998), 907-922.
2000
P J McKenna received the Award for the paper:
Large Torsional Oscillations in Suspension Bridges Revisited: Fixing an Old Approximation, The American Mathematical Monthly 106 (1999), 1-18.
William Terrell received the Award for the paper:
Some fundamental control theory I: Controllability, observability, and duality and Some fundamental control Theory II: Feedback linearization of single input nonlinear systems, The American Mathematical Monthly 106 (1999) 705-719; 812-828.
Vilmos Totik received the Award for the paper:
A tale of two integrals, The American Mathematical Monthly 106 (1999), 227-240.
2001
Keith Kendig received the Award for the paper:
Is a 2000-Year-Old Formula Still Keeping Some Secrets?, The American Mathematical Monthly 107 (2000), 402-415.
E R Scheinerman received the Award for the paper:
When Close is Close Enough, The American Mathematical Monthly 107 (2000), 489-499.
2002
Peter Borwein and Loki Jorgenson received the Award for the paper:
Visible Structures in Number Theory, The American Mathematical Monthly 108 (2001), 897-910
Dirk Huylebrouck received the Award for the paper:
Similarities in Irrationality Proofs for π, ln2, ζ (2), and ζ (3), The American Mathematical Monthly 108 (2001), 222-231
Greg Martin received the Award for the paper:
Absolutely Abnormal Numbers, The American Mathematical Monthly 108 (2001), 746-754
David Lindsay Roberts received the Award for the paper:
Moore's Early Twentieth-Century Program for Reform in Mathematics Education, The American Mathematical Monthly 108 (2001), 689-696
2003
Leonard Gillman received the Award for the paper:
Two Classical Surprises Concerning the Axiom of Choice and the Continuum Hypothesis, The American Mathematical Monthly 109 (2002), 544-553.
Warren P Johnson received the Award for the paper:
The Curious History of Faa du Bruno's Formula, The American Mathematical Monthly 109 (2002), 217-234.
Sam Northshield received the Award for the paper:
Associativity of the Secant Method, The American Mathematical Monthly 109, 2002, 246-257.
Eleanor Robson received the Award for the paper:
Words and Pictures: New Light on Plimpton 322, The American Mathematical Monthly 109 (2002), 105-120.
Sergio B Volchan received the Award for the paper:
What Is a Random Sequence, The American Mathematical Monthly 109 (2002), 46-63.
2004
Noam Elkies received the Award for the paper:
On the Sums, The American Mathematical Monthly 110 (2003), 561-573.
Charles Livingston received the Award for the paper:
Enhanced Linking Numbers, The American Mathematical Monthly 110 (2003), 361-385.
R Michael Range received the Award for the paper:
Complex Analysis: A Brief Tour into Higher Dimensions The American Mathematical Monthly 110 (2003), 89-108.
Ruediger Thiele received the Award for the paper:
Hilbert's Twenty-Fourth Problem, The American Mathematical Monthly 110 (2003), 1-24.
2005
Tom Apostol and Mamikon Mnatsakanian received the Award for the papers:
Isoperimetric and Isoparametric Problems, The American Mathematical Monthly 111 (2) (2004), 118-136.
A Fresh Look at the Method of Archimedes, The American Mathematical Monthly 111 (2004), 496-508.
Figures Circumscribing Circles, The American Mathematical Monthly 111 (2004), 853-863.
Henry Cohn received the Award for the paper:
Projective Geometry over F1𝐹1 and the Gaussian Binomial Coefficents, The American Mathematical Monthly 111 (2004), 487-495.
Alan Edelman and Gilbert Strang received the Award for the paper:
Pascal Matrices, The American Mathematical Monthly 111 (2004), 361-385.
Steven Finch and John Wetzel received the Award for the paper:
Lost in a Forest, The American Mathematical Monthly 111 (2004), 645-654.
Judith Grabiner received the Award for the paper:
Newton, Maclaurin, and the Authority of Mathematics, The American Mathematical Monthly 111 (2004), 841-852.
2006
Ibetsam Bajunaid, Joel M Cohen, Flavia Colonna and David Singman received the Award for the paper:
Function Series, Catalan Numbers, and Random Walks on Trees, The American Mathematical Monthly 112 (2005), 755-785
William Dunham received the Award for the paper:
Touring the Calculus Gallery, The American Mathematical Monthly 112 (2005), 1-19
Edward B Burger received the Award for the paper:
A Tail of Two Palindromes, The American Mathematical Monthly 112 (2005), 311-321
Karl Dilcher and Kenneth B Stolarsky received the Award for the paper:
A Pascal-Type Triangle Characterizing Twin Primes, The American Mathematical Monthly 112 (2005), 673-681.
Viktor Blåsjö received the Award for the paper:
The Evolution of the Isoperimetric Problem, The American Mathematical Monthly 112 (2005), 526-566
2007
Andrew Granville and Greg Martin received the Award for the paper:
Prime Number Races, The American Mathematical Monthly 113 (2006), 1-33.
Jeffrey C Lagarias received the Award for the paper:
Wild and Wooley Numbers, The American Mathematical Monthly 113 (2006), 97-108.
Lluís Bibiloni, Jaume Paradís and Pelegrí Viader received the Award for the paper:
On a Series of Goldbach and Euler, The American Mathematical Monthly 113 (2006), 206-220.
Harold P Boas received the Award for the paper:
Reflections on the Arbelos, The American Mathematical Monthly 113 (2006), 236-249.
Michael J Mossinghoff received the Award for the paper:
A $1 Problem, The American Mathematical Monthly 113 (2006), 385-402.
2008
Tom M Apostol and Mamikon A Mnatsakanian received the Award for the paper:
Unwrapping Curves from Cylinders and Cones, The American Mathematical Monthly 114 (2007), 388-416.
David Auckly received the Award for the paper:
Solving the Quartic with a Pencil, The American Mathematical Monthly 114 (2007), 29-39.
Andrew Cohen and Tanya Leise received the Award for the paper:
Nonlinear Oscillators at Our Fingertips, The American Mathematical Monthly 114 (2007), 14-28.
Thomas C Hales received the Award for the paper:
The Jordan Curve Theorem, Formally and Informally, The American Mathematical Monthly 114 (2007), 882-894.
Katherine Socha received the Award for the paper:
Circles in Circles: Creating a Mathematical Model of Surface Water Waves, The American Mathematical Monthly 114 (2007), 202-216.
2009
Michel Balinski received the Award for the paper:
Fair Majority Voting (or How to Eliminate Gerrymandering), The American Mathematical Monthly 115 (2) (2008), 97-113.
Andrew Bashelor, Amy Ksir and Will Traves received the Award for the paper:
Enumerative Algebraic Geometry of Conics, The American Mathematical Monthly 115 (8) (2008), 701-728.
Andrew Granville received the Award for the paper:
Prime Number Patterns, The American Mathematical Monthly 115 (4) (2008), 279-296.
Dan Kalman received the Award for the paper:
An Elementary Proof of Marden's Theorem, The American Mathematical Monthly 115 (4) (2008), 330-338.
2010
Tom M Apostol and Mamikon A Mnatsakanian received the Award for the paper:
New Insight into Cycloidal Areas, The American Mathematical Monthly 116 (7) (2009), 598-611.
Judith Grabiner received the Award for the paper:
Why Did Lagrange 'Prove' the Parallel Postulate?, The American Mathematical Monthly 116 (1) (2009), 3-18.
Jerzy Kocik and Andrzej Solecki received the Award for the paper:
Disentangling a Triangle, The American Mathematical Monthly 116 (3) (2009), 228-237.
Bob Palais, Richard Palais and Stephen Rodi received the Award for the paper:
A Disorienting Look at Euler's Theorem on the Axis of a Rotation, The American Mathematical Monthly 116 (10) (2009), 892-909.
Mike Paterson and Uri Zwick received the Award for the paper:
Overhang, The American Mathematical Monthly 116 (1) (2009), 19-44.
2011
Aaron Abrams and Skip Garibaldi received the Award for the paper:
Finding Good Bets in the Lottery, and Why You Shouldn't Take Them, The American Mathematical Monthly 117 (1) (2010), 3-26.
Marvin Jay Greenberg received the Award for the paper:
Old and New Results in the Foundations of Elementary Plane Euclidean and Non-Euclidean Geometries, The American Mathematical Monthly 117 (3) (2010), 198-219.
Alexander Borisov, Mark Dickinson and Stuart Hastings received the Award for the paper:
A Congruence Problem for Polyhedra, The American Mathematical Monthly 117 (3) (2010), 232-249.
James T Smith received the Award for the paper:
Definitions and Nondefinability in Geometry, The American Mathematical Monthly 117 (6) (2010), 475-489.
Mark Conger and Jason Howald received the Award for the paper:
A Better Way to Deal the Cards, The American Mathematical Monthly 117 (8) (2010), 686-700.
2012
David A Cox received the Award for the paper:
Why Eisenstein Proved the Eisenstein Criterion and Why Schönemann Discovered It First, The American Mathematical Monthly 118 (1) (2011), 3-21.
Ravi Vakil received the Award for the paper:
The Mathematics of Doodling, The American Mathematical Monthly 118 (2) (2011), 116-129.
Peter Sarnak received the Award for the paper:
Integral Apollonian Packings, The American Mathematical Monthly 118 (4) (2011), 291-306.
Graham Everest and Tom Ward received the Award for the paper:
A Repulsion Motif in Diophantine Equations, The American Mathematical Monthly 118 (7) (2011), 584-598.
2013
Robert T Jantzen and Klaus Volpert received the Award for the paper:
On the Mathematics of Income Inequality: Splitting the Gini Index in Two, The American Mathematical Monthly 119 (10) (2012), 824-837.
Dimitris Koukoulopoulos and Johann Thiel received the Award for the paper:
Arrangements of Stars on the American Flag, The American Mathematical Monthly 119 (6) (2012), 443-450.
Lionel Levine and Katherine E Stange received the Award for the paper:
How to Make the Most of a Shared Meal: Plan the Last Bite First, The American Mathematical Monthly 119 (7) (2012), 550-565.
Dan Kalman and Mark McKinzie received the Award for the paper:
Another Way to Sum a Series: Generating Functions, Euler. and the Dilog Function, The American Mathematical Monthly 119 (1) (2012), 42-51.
2014
Will Traves received the Award for the paper:
From Pascal's Theorem to d-Constructible Curves, The American Mathematical Monthly 120) (10) (2013), 901-915.
Tadashi Tokieda received the Award for the paper:
Roll Models, The American Mathematical Monthly 120 (3) (2013), 265-282.
Jacques Lévy Véhel and Franklin Mendivil received the Award for the paper:
Christiane's Hair , The American Mathematical Monthly 120 (9) (2013), 771-786.
Susan H Marshall and Alexander R Perlis received the Award for the paper:
Heronian Tetrahedra Are Lattice Tetrahedra, The American Mathematical Monthly, 120 (2) (2013), 140-149.
2015
Mario Ponce and Patricio Santibanez received the Award for the paper:
On Equidistant Sets and Generalized Conics; The Old and the New, The American Mathematical Monthly 121 (1) (2014), 18-32.
Daniel Velleman received the Award for the paper:
A Drug-Induced Random Walk, The American Mathematical Monthly 121 (4) (2014), 299-317.
Allison Henrich and Louis H Kauffman received the Award for the paper:
Unknotting Unknots, The American Mathematical Monthly 121 (5) (2014), 379-390.
Erwan Brugallé and Kristin Shaw received the Award for the paper:
A Bit of Tropical Geometry, The American Mathematical Monthly 121 (2014), 563-589.
2016
Alex Chin, Gary Gordon, Kellie MacPhee and Charles Vincent received the Award for the paper:
Pick a Tree - Any Tree, The American Mathematical Monthly 122 (5) (2015).
Kenneth S Williams received the Award for the paper:
A 'Four Integers' Theorem and a 'Five Integers' Theorem, The American Mathematical Monthly 122 (6) (2015).
Manya Raman-Sundström received the Award for the paper:
A Pedagogical History of Campactness, The American Mathematical Monthly 122 (7) (2015).
Zhiqin Lu and Julie Rowlett received the Award for the paper:
The Sound of Symmetry, The American Mathematical Monthly 122 (9) (2015).
2017
Harold P Boas received the Award for the paper:
Mocposite Functions, The American Mathematical Monthly 123 (5) (2016), 427-438.
Adrien Kassel and David B Wilson received the Award for the paper:
The Looping Rate and Sandpile Density of Planar Graphs The American Mathematical Monthly 123 (1) (2016), 19-39.
Deborah Kent and David Muraki received the Award for the paper:
A Geometric Solution of a Cubic by Omar Khayyam ... in Which Colored Diagrams Are Used Instead of Letters for the Greater Ease of Learners, The American Mathematical Monthly 123 (2) (2016), 149-160.
Lawrence Zalcman received the Award for the paper:
A Tale of Three Theorems, The American Mathematical Monthly 123 (7) (2016), 643-656.
2018
Michael Barnsley and Andrew Vince received the Award for the paper:
Self-Similar Polygonal Tiling, The American Mathematical Monthly 124 (10) (2017), 905-921.
Paul E Becker, Martin Derka, Sheridan Houghten and Jennifer Ulrich received the Award for the paper:
Build a Sporadic Group in Your Basement, The American Mathematical Monthly 124 (4) (2017), 291-305.
Maria Deijfen, Alexander E Holroyd and James B Martin received the Award for the paper:
Friendly Frogs, Stable Marriage, and the Magic of Invariance, The American Mathematical Monthly 124 (5) (2017), 387-402.
Francis E Su received the Award for the paper:
Mathematics for Human Flourishing, The American Mathematical Monthly 124 (6) (2017), 483-493.
2019
Adrian Rice received the Award for the paper:
Partnership, Partition, and Proof: The Path to the Hardy-Ramanujan Partition Formula, The American Mathematical Monthly 125 (1) (2018), 3-15.
Jonathan M Borwein and Robert M Corless received the Award for the paper:
Gamma and Factorial in the Monthly, The American Mathematical Monthly 125 (5) (2018), 400-424.
Andrew Granville received the Award for the paper:
Using Dynamical Systems to Construct Infinitely Many Primes, The American Mathematical Monthly 125 (6) (2018), 483-496.
Kenneth S Williams received the Award for the paper:
Everything You Wanted To Know About ax2 + by2 + cz2 + dt2 But Were Afraid To Ask, The American Mathematical Monthly 125 (9) (2018), 797-810.
2020
Daniel Ullman and Daniel Velleman received the Award for the paper:
Differences of Bijections, The American Mathematical Monthly 126 (3) (2019), 199-216.
Colin Adams, Allison Henrich, Kate Kearney and Nicholas Scoville received the Award for the paper:
Knots Related by Knotoids, The American Mathematical Monthly 126 (6) (2019), 483-490.
John B Little received the Award for the paper:
The Many Lives of the Twisted Cubic, The American Mathematical Monthly 126 (7) (2019), 579-592.
Balázs Gerencsér and Viktor Harangi received the Award for the paper:
Too Acute to Be True: The Story of Acute Sets, The American Mathematical Monthly 126 (10) (2019), 905-914.
2021
J H Conway, M S Paterson and Moscow (U.S.S.R.) received the Award for the paper:
A Headache-Causing Problem, The American Mathematical Monthly 127 (4) (2020), 291-296.
Brian S Thomson received the Award for the paper:
The Bounded Convergence Theorem, The American Mathematical Monthly 127 (6) (2020), 483-503.
Zhaodong Cai, Matthew Faust, A J Hildebrand, Junxian Li and Yuan Zhang received the Award for the paper:
The Surprising Accuracy of Benford's Law in Mathematics, The American Mathematical Monthly 127 (3) (2020), 217-237.
Ben Blum-Smith and Japheth Wood received the Award for the paper:
Chords of an Ellipse, Lucas Polynomials, and Cubic Equations, The American Mathematical Monthly 127 (8) (2020), 688-705.
2022
William Dunham received the Award for the paper:
Euler and the Cubic Basel Problem, The American Mathematical Monthly 128 (4) (2021), 291-301.
Jan E Holly received the Award for the paper:
What Type of Apollonian Circle Packing Will Appear?, The American Mathematical Monthly 128 (7) (2021), 611-629.
Dominic Klyve and Erik R Tou received the Award for the paper:
A Prime Testing Algorithm from Leonhard Euler, The American Mathematical Monthly 128 (8) (2021), 687-700.
David Lowry-Duda and Miles H Wheeler received the Award for the paper:
Perturbing the Mean Value Theorem: Implicit Functions, the Morse Lemma, and Beyond, The American Mathematical Monthly 128 (1) (2021), 50-61.
2023
Tristram Bogart and Kevin Woods received the Award for the paper:
A Plethora of Polynomials: A Toolbox for Counting Problems, The American Mathematical Monthly 129 (3) (2022), 203-222.
Paul Thomas Young received the Award for the paper:
From Madhava-Leibniz to Lehmer's Limit, The American Mathematical Monthly 129 (6) (2022), 524-538.
Alex Rice received the Award for the paper:
Reciprocal Sums and Counting Functions, The American Mathematical Monthly 129 (10) (2022), 903-912.
Paul Ramond received the Award for the paper:
The Abel-Ruffini Theorem: Complex but Not Complicated, The American Mathematical Monthly 129 (3) (2022), 231-245.
2024
Dan Kalman and Robert Mena received the Award for the paper:
A Tale of Two by Two Matrices, The American Mathematical Monthly 130 (9) (2023), 837-854.
Eli M Hicks, R Andrew Hicks, Ron Perline and Sarah G Rody received the Award for the paper:
Frobenius Integrability, Automotive Blind Spots, Non-reversing Mirrors, and Panoramic Mirrors, The American Mathematical Monthly 130 (3) (2023), 251-266.
Rafael López received the Award for the paper:
What Is the Shape of a Cupola?, The American Mathematical Monthly 130 (3) (2023), 222-238.
Andrew M Bruckner, Judith B Bruckner and Brian S Thomson received the Award for the paper:
Can One Visualize a Continuous Nowhere Differentiable Function?, The American Mathematical Monthly 130 (3) (2023), 214-221.
1965
R H Bing received the Award for the paper:
Spheres in E3, The American Mathematical Monthly 71 (1964), 353-364.
Louis Brand received the Award for the paper:
A Division Algebra for Sequences and Its Associated Operational Calculus, The American Mathematical Monthly 71 (1964), 719-728.
Robert G Kuller received the Award for the paper:
Coin tossing, probability, and the Weierstrass approximation theorem, Mathematics Magazine 37 (1964), 262-267.
R Duncan Luce received the Award for the paper:
The Mathematics Used in Mathematical Psychology, The American Mathematical Monthly 71 (1964), 364-378.
Hartley Rogers, Jr. received the Award for the paper:
Information Theory, Mathematics Magazine 37 (1964), 63-78.
Elmer Tolsted received the Award for the paper:
An Elementrary Derivation of Cauchy, Holder, and Minkowski Inequalities From Young's Inequality, Mathematics Magazine 37 (1964), 2-12.
1966
Carl B Allendoerfer received the Award for the paper:
Generalizations of theorems about triangles, Mathematics Magazine 38 (1965), 253-259.
Peter D Lax received the Award for the paper:
Numerical solutions of partial differential equations, The American Mathematical Monthly 72 (2) (1965), 78-84.
Marvin Marcus and Henryk Minc received the Award for the paper:
Permanents, The American Mathematical Monthly 72 (1965), 577-591.
1967
Wai-Kai Chen received the Award for the paper:
Boolean matrices and switching nets, Mathematics Magazine 39 (1966), 1-8.
D R Fulkerson received the Award for the paper:
Flow networks and combinatorial operations research, The American Mathematical Monthly 73 (1966), 115-138.
Mark Kac received the Award for the paper:
Can one hear the shape of a drum?, The American Mathematical Monthly 73 (1966), Part II, 1-23.
M Zuhair Nashed received the Award for the paper:
Some remarks on variations and differentials, The American Mathematical Monthly 73 (1966), Part II, 63-76.
Paul B Yale received the Award for the paper:
Automorphisms of the complex numbers, Mathematics Magazine 39 (1966), 135-141.
1968
Frederick Cunningham, Jr. received the Award for the paper:
Taking limits under the integral sign, Mathematics Magazine 40 (1967), 179-186.
W F Newns received the Award for the paper:
Functional Dependence, The American Mathematical Monthly 74 (1967), 911-920.
Daniel Pedoe received the Award for the paper:
On a Theorem in Geometry, The American Mathematical Monthly 74 (1967), 627-640.
Keith L Phillips received the Award for the paper:
The Maximal Theorems of Hardy and Littlewood, The American Mathematical Monthly 74 (1967), 648-660.
F V Waugh and Margaret W Maxfield received the Award for the paper:
Side-and-Diagonal numbers, Mathematics Magazine 40 (1967), 74-83.
Hans J Zassenhaus received the Award for the paper:
On the fundamental theorem of algebra, The American Mathematical Monthly 74 (1967), 485-497.
1969
Harley Flanders received the Award for the paper:
A proof of Minkowski's inequality for convex curves, The American Mathematical Monthly 75 (1968), 581-593.
George Forsythe received the Award for the paper:
What to do till the computer scientist comes, The American Mathematical Monthly 75 (1968), 454-462.
Marcel F Neuts received the Award for the paper:
Are many 1-1 functions on the positive integers onto?, Mathematics Magazine 41, (1968) 103-109.
Pierre Samuel received the Award for the paper:
Unique Factorization, The American Mathematical Monthly 75 (1968), 945-952.
Hassler Whitney received the Award for the paper:
The mathematics of physical quantities, The American Mathematical Monthly 75 (1968), 115-138; 227-256.
Albert Wilansky received the Award for the paper:
Spectral decomposition of matrices for high school students Mathematics Magazine 41 (1968), 51-59.
1970
Henry L Alder received the Award for the paper:
Partition identities - from Euler to the present, The American Mathematical Monthly 76 (1969), 733-746.
Ralph P Boas received the Award for the paper:
Inequalities for the derivatives of polynomials, Mathematics Magazine 42 (1969), 165-174.
William A Coppel received the Award for the paper:
J.B. Fourier - on the occasion of his two hundredth birthday, The American Mathematical Monthly 76 (1969), 468-483.
Norman Levinson received the Award for the paper:
A motivated account of an elementary proof of the prime number theorem, The American Mathematical Monthly 76 (1969), 225-245.
John Milnor received the Award for the paper:
A problem in cartography, The American Mathematical Monthly 76 (1969), 1101-1112.
Ivan Niven received the Award for the paper:
Formal power series, The American Mathematical Monthly 76 (1969), 871-889.
1971
Jean A Dieudonné received the Award for the paper:
The work of Nicholas Bourbaki, The American Mathematical Monthly 77 (1970), 134-145.
George Forsythe received the Award for the paper:
Pitfalls in computation, or why a math book isn't enough, The American Mathematical Monthly 77 (1970), 931-956.
Paul R Halmos received the Award for the paper:
Finite-dimensional Hilbert spaces, The American Mathematical Monthly 77 (1970), 457-464.
Eric Langford received the Award for the paper:
A problem in geometric probability, Mathematics Magazine 43 (1970), 237-244.
Peter V O'Neil received the Award for the paper:
Ulam's conjecture and graph reconstructions, The American Mathematical Monthly 77 (1970), 35-43.
Olga Taussky received the Award for the paper:
Sums of squares, The American Mathematical Monthly 77 (1970), 805-830.
1972
Gulbank D Chakerian and Lester H Lange received the Award for the paper:
Geometric extremum problems, Mathematics Magazine 44 (1971), 57-69.
Paul M Cohn received the Award for the paper:
Rings of fractions, The American Mathematical Monthly 78 (1971), 596-615.
Frederick Cunningham, Jr. received the Award for the paper:
The Kakeya problem for simply connected and for star-shaped Sets, The American Mathematical Monthly 78 (1971), 114-129.
W J Ellison received the Award for the paper:
Waring's problem, The American Mathematical Monthly 78 (1971) 10-36.
Leon Henkin received the Award for the paper:
Mathematical foundations for mathematics, The American Mathematical Monthly 78 (1971), 463-487.
Victor Klee received the Award for the paper:
What is a convex set?, The American Mathematical Monthly 78 (1971), 616-631.
1973
Jean A Dieudonné received the Award for the paper:
The historical development of algebraic geometry, The American Mathematical Monthly 79 (1972), 827-866.
Samuel Karlin received the Award for the paper:
Some mathematical models of population genetics, The American Mathematical Monthly 79 (1972), 699-739.
Peter D Lax received the Award for the paper:
The formation and decay of shock waves, The American Mathematical Monthly 79 (1972), 227-241.
Thomas L Saaty received the Award for the paper:
Thirteen colorful variations on Guthrie's four-color conjecture, The American Mathematical Monthly 79 (1972) 2-43.
Lynn A Steen received the Award for the paper:
Conjectures and counterexamples in metrization theory, The American Mathematical Monthly 79 (1972), 113-132.
Raymond L Wilder received the Award for the paper:
History in the mathematics curriculum: Its status, equality, and function, The American Mathematical Monthly 79 (1972), 479-495.
1974
Patrick Billingsley received the Award for the paper:
Prime numbers and Brownian motion, The American Mathematical Monthly 80 (1973), 1099-1115.
Garrett Birkhoff received the Award for the paper:
Current trends in algebra, The American Mathematical Monthly 80 (1973), 760-782.
Martin D Davis received the Award for the paper:
Hilbert's tenth problem is unsolvable, The American Mathematical Monthly 80 (1973), 233-269.
Isaac J Schoenberg received the Award for the paper:
The elementary cases of Landau's problem of inequalities between derivatives, The American Mathematical Monthly 80 (1973), 121-158.
Lynn A Steen received the Award for the paper:
Highlights in the history of spectral theory, The American Mathematical Monthly 80 (1973), 359-381.
Robin J Wilson received the Award for the paper:
An introduction to matroid theory, The American Mathematical Monthly 80 (1973), 500-525.
1975
Raymond Ayoub received the Award for the paper:
Euler and the zeta function, The American Mathematical Monthly 81 (1974), 1067-86.
J Callahan received the Award for the paper:
Singularities and plane maps, The American Mathematical Monthly 81 (1974), 211-240.
Donald E Knuth received the Award for the paper:
Computer science and its relation to mathematics, The American Mathematical Monthly 81 (1974), 323-343.
Johannes C C Nitsche received the Award for the paper:
Plateau's problems and their modern ramifications, The American Mathematical Monthly 81 (1974), 945-968.
Sherman K Stein received the Award for the paper:
Algebraic tiling, The American Mathematical Monthly 81 (1974), 445-462.
Lawrence Zalcman received the Award for the paper:
Real proofs of complex theorems (and vice versa), The American Mathematical Monthly 81 (1974), 115-137.
1976
Michel L Balinski and H P Young received the Award for the paper:
The quota method of apportionment, The American Mathematical Monthly 82 (1975), 701-730.
Edward A Bender and J R Goldman received the Award for the paper:
On the applications of Mö inversion in combinatorial analysis, The American Mathematical Monthly 82 (1975), 789-803.
Branko Grünbaum received the Award for the paper:
Venn diagrams and independent families of sets, The American Mathematical Monthly 82 (1975), 12-23.
James E Humphreys received the Award for the paper:
Representations of SL (2,p), The American Mathematical Monthly 82 (1975), 21-39.
Joseph B Keller and David W McLaughlin received the Award for the paper:
The Feynman integral, The American Mathematical Monthly 82 (1975), 451-465.
Justin J Price received the Award for the paper:
Topics in orthogonal functions, The American Mathematical Monthly 82 (1975), 594-609.
1977
Shreeram Abhyankar received the Award for the paper:
Historical ramblings in algebraic geometry and related algebra, The American Mathematical Monthly 83 (1976), 409-448.
Joseph B Keller received the Award for the paper:
Inverse problems, The American Mathematical Monthly 83 (1976), 107-118.
Donald S Passman received the Award for the paper:
What is a group ring?, The American Mathematical Monthly 83 (1976), 173-185.
Douglas Wiens, Hideo Wada, Daihachiro Sato and James P Jones received the Award for the paper:
Diophantine representation of the set of prime numbers, The American Mathematical Monthly 83 (1976), 449-464
William P Ziemer, William H Wheeler, S H Moolgavkar, Paul R Halmos, John H Ewing and William H Gustafson received the Award for the paper:
American mathematics from 1940 to the day before yesterday, The American Mathematical Monthly 83 (1976), 503-516.
1978
Ralph P Boas received the Award for the paper:
Partial sums of infinite series, and how they grow, The American Mathematical Monthly 84 (1977), 237-258.
Louis H Kauffman and Thomas F Banchoff received the Award for the paper:
Immersions and Mod-2 quadratic forms, The American Mathematical Monthly 84 (1977), 168-185.
Neil J A Sloane received the Award for the paper:
Error correcting codes and invariant theory: new applications of a 19th century technique, The American Mathematical Monthly 84 (1977), 82-107.
1979
Bradley Efron received the Award for the paper:
Controversies in the foundations of statistics, The American Mathematical Monthly 85 (1978), 231-246.
Ned Glick received the Award for the paper:
Breaking records and breaking boards, The American Mathematical Monthly 85 (1978), 2-26.
Kenneth I Gross received the Award for the paper:
On the evolution of noncommutative harmonic analysis, The American Mathematical Monthly 85 (1978), 525-548.
Joseph B Kruskal and Lawrence A Shepp received the Award for the paper:
Computerized tomography: the new medical x-ray technology, The American Mathematical Monthly 85 (1978), 420-439.
1980
Desmond Fearnley-Sander received the Award for the paper:
Hermann Grassmann and the creation of linear algebra, The American Mathematical Monthly 86 (1979), 809-817.
David Gale received the Award for the paper:
The game of Hex and the Brouwer fixed-point theorem, The American Mathematical Monthly 86 (1979), 818-827.
Karel Hrbacek received the Award for the paper:
Nonstandard set theory, The American Mathematical Monthly 86 (1979), 659-677.
Cathleen S Morawetz received the Award for the paper:
Nonlinear conservation equations, The American Mathematical Monthly 86 (1979), 284-287.
Robert Osserman received the Award for the paper:
Bonnesen-style isoperimetric inequalities, The American Mathematical Monthly 86 (1979), 1-29.
1981
R Creighton Buck received the Award for the paper:
Sherlock Holmes in Babylon, The American Mathematical Monthly 87 (1980), 335-345.
Bruce H Pourciau received the Award for the paper:
Modern multiplier rules, The American Mathematical Monthly 87 (1980), 433-452.
Alan H Schoenfeld received the Award for the paper:
Teaching problem-solving skills, The American Mathematical Monthly 87 (1980), 794-805.
Edward R Swart received the Award for the paper:
The philosophical implications of the four-color problem, The American Mathematical Monthly 87 (1980), 697-707.
Lawrence A Zalcman received the Award for the paper:
Offbeat integral geometry, The American Mathematical Monthly 87 (1980), 161-175.
1982
Philip Davis received the Award for the paper:
Are there coincidences in mathematics?, The American Mathematical Monthly 88 (1981), 311-320.
R Arthur Knoebel received the Award for the paper:
Exponentials reiterated, The American Mathematical Monthly 88 (1981), 235-252.
1983
Robert F Brown received the Award for the paper:
The Fixed Point Property and Cartesian Products, The American Mathematical Monthly 89 (1982), 654-678.
Tony Rothman received the Award for the paper:
Genius and Biographers: The Fictionalization of Evariste Galois, The American Mathematical Monthly 89 (1982), 84-106.
Robert S Strichartz received the Award for the paper:
Radon inversion - variations on a theme, The American Mathematical Monthly 89 (1982) 377-384; 420-423.
1984
Judith Grabiner received the Award for the paper:
Who gave you the epsilon? Cauchy and the origins of rigorous calculus, The American Mathematical Monthly 90 (1983), 185-194.
Roger Howe received the Award for the paper:
Very basic Lie theory, The American Mathematical Monthly 90 (1983), 600-623.
John Milnor received the Award for the paper:
On the geometry of the Kepler problem, The American Mathematical Monthly 90 (1983), 353-365.
Joel Spencer received the Award for the paper:
Large numbers and unprovable theorems, The American Mathematical Monthly 90 (1983), 365-366.
William C Waterhouse received the Award for the paper:
Do symmetric problems have symmetric solutions?, The American Mathematical Monthly 90 (1983), 378-387.
1985
John D Dixon received the Award for the paper:
Factorization and primality tests, The American Mathematical Monthly 91 (1984), 333-352.
Donald G Saari and John B Urenko received the Award for the paper:
Newton's method, circle maps, and chaotic motion, The American Mathematical Monthly 91 (1984), 3-17.
1986
Jeffrey C Lagarias received the Award for the paper:
The 3x + 1 problem and its generalizations, The American Mathematical Monthly 92 (1985), 3-23.
Michael E Taylor received the Award for the paper:
Book Review of The Analysis of Linear Partial Differential Operators, Vols I & II by Lars Hö, The American Mathematical Monthly 92 (1985), 745-749.
1987
Stuart S Antman received the Award for the paper:
Book Review of A Convergence of Lives, Sofia Kovalevskaia: scientist, writer, revolutionary, by A Hibner Koblitz, The American Mathematical Monthly 93 (1986), 139-144.
Joan Cleary, Sidney Morris and David Yost received the Award for the paper:
Numerical geometry - numbers for shapes, The American Mathematical Monthly 93 (1986), 260-275.
Howard Hiller received the Award for the paper:
Crystallography and cohomology of groups, The American Mathematical Monthly 93 (1986), 765-779.
Jacob Korevaar received the Award for the paper:
Bieberbach's conjecture and its proof by Louis de Branges, The American Mathematical Monthly 93 (1986), 505-514.
Peter M Neumann received the Award for the paper:
Book Review of Galois Theory by Harold M Edwards, The American Mathematical Monthly 93 (1986), 407-411.
1988
James Epperson received the Award for the paper:
On the Runge example, The American Mathematical Monthly 94 (1987), 329-341.
Stan Wagon received the Award for the paper:
Fourteen proofs of a result about tiling a rectangle, The American Mathematical Monthly 94 (1987), 601-617.
1989
Gert Almkvist and Bruce Berndt received the Award for the paper:
Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, pi and the Ladies Diary, The American Mathematical Monthly 95 (1988), 585-608.
Richard K Guy received the Award for the paper:
The strong law of small numbers, The American Mathematical Monthly 95 (1988), 697-712.
1990
Jacob Goodman, Janos Pach and Chee K Yap received the Award for the paper:
Mountain climbing, ladder moving, and the ring-width of a polygon, The American Mathematical Monthly 96 (1989), 494-510.
Doron Zeilberger received the Award for the paper:
Kathy O'Hara's constructive proof of the unimodality of the Gaussian polynomials, The American Mathematical Monthly 96 (1989), 590-602.
1991
Marcel Y Berger received the Award for the paper:
Convexity, The American Mathematical Monthly 97 (1990), 650-678.
Ronald Graham and Frances Yao received the Award for the paper:
A whirlwind tour of computational geometry, The American Mathematical Monthly 97 (1990), 687-701.
Joyce Justicz, Edward R Scheinerman and Peter Winkler received the Award for the paper:
Random intervals, The American Mathematical Monthly 97 (1990), 881-889.
1992
Clement W H Lam received the Award for the paper:
The search for a finite projective plane of order 10, The American Mathematical Monthly 98 (1991), 305-318.
1993
Carsten Thomassen received the Award for the paper:
The Jordan-Schoenflies Theorem and the classification of surfaces, The American Mathematical Monthly 99 (1992), 116-130.
Don Knuth received the Award for the paper:
Two notes on notation, The American Mathematical Monthly 99 (1992), 403-422.
1994
Bruce C Berndt and S Bhargava received the Award for the paper:
Ramanujan-for lowbrows, The American Mathematical Monthly 100 (1993), 644-656.
Edgar R Lorch (Reuben Hersh, editor) received the Award for the paper:
Szeged in 1934, The American Mathematical Monthly 100 (1993), 219-230.
Leonard Gillman received the Award for the paper:
An axiomatic approach to the integral, The American Mathematical Monthly 100 (1993), 16-25.
Joseph H Silverman received the Award for the paper:
Taxicabs and sums of two cubes, The American Mathematical Monthly 100 (1993), 331-340.
Dan Velleman and Istvan Szalkai received the Award for the paper:
Versatile coins, The American Mathematical Monthly 100 (1993), 26-33.
1995
Fernando Q Gouvea received the Award for the paper:
A marvelous proof, The American Mathematical Monthly 101 (1994), 203-222.
Robert Gray received the Award for the paper:
Georg Cantor and transcendental numbers, The American Mathematical Monthly 101 (1994), 819-832.
Jonathan L King received the Award for the paper:
Three problems in search of a measure, The American Mathematical Monthly 101 (1994), 609-628.
I Kleiner and N Movshovitz-Hadar received the Award for the paper:
The role of paradoxes in the evolution of mathematics, The American Mathematical Monthly 101, (1994), 963-974.
William C Waterhouse received the Award for the paper:
A counterexample for Germain, The American Mathematical Monthly 101 (1994), 140-150.
1996
Martin Aigner received the Award for the paper:
Turan's Graph Theorem, The American Mathematical Monthly 102 (1995), 808-816.
Sheldon Axler received the Award for the paper:
Down with determinants!, The American Mathematical Monthly 102 (1995), 139-154.
John Oprea received the Award for the paper:
Geometry and the Foucault Pendulum, The American Mathematical Monthly 102 (1995), 515-522.
1997
Robert G Bartle received the Award for the paper:
Return to the Riemann integral, The American Mathematical Monthly 103 (1996), 625-632.
A F Beardon received the Award for the paper:
Sums of powers of integers, The American Mathematical Monthly 103 (1996), 201-213.
John Brillhart and Patrick Morton received the Award for the paper:
A case study in mathematical research: The Golay-Rudin-Shapiro Sequence, The American Mathematical Monthly 103 (1996), 854-869.
1998
S C Coutinho received the Award for the paper:
The many avatars of a simple algebra, The American Mathematical Monthly 104 (1997), 593-604.
Judith V Grabiner received the Award for the paper:
Was Newton's calculus a dead end? The continental influence of Maclaurin's Treatise of Fluxions, The American Mathematical Monthly 104 (1997), 393-410.
Bruce Pourciau received the Award for the paper:
Reading the Masters: Newton and the birth of celestial mechanics, The American Mathematical Monthly 104 (1997), 1-19.
1999
Yoav Benyamini received the Award for the paper:
Applications of the universal surjectivity of the Cantor set, The American Mathematical Monthly 105 (1998), 832-839.
Jerry L Kazdan received the Award for the paper:
Solving equations, an elegant legacy, The American Mathematical Monthly 105 (1998), 1-21.
Bernd Sturmfels received the Award for the paper:
Polynomial equations and convex polytopes, The American Mathematical Monthly 105 (1998), 907-922.
2000
P J McKenna received the Award for the paper:
Large Torsional Oscillations in Suspension Bridges Revisited: Fixing an Old Approximation, The American Mathematical Monthly 106 (1999), 1-18.
William Terrell received the Award for the paper:
Some fundamental control theory I: Controllability, observability, and duality and Some fundamental control Theory II: Feedback linearization of single input nonlinear systems, The American Mathematical Monthly 106 (1999) 705-719; 812-828.
Vilmos Totik received the Award for the paper:
A tale of two integrals, The American Mathematical Monthly 106 (1999), 227-240.
2001
Keith Kendig received the Award for the paper:
Is a 2000-Year-Old Formula Still Keeping Some Secrets?, The American Mathematical Monthly 107 (2000), 402-415.
E R Scheinerman received the Award for the paper:
When Close is Close Enough, The American Mathematical Monthly 107 (2000), 489-499.
2002
Peter Borwein and Loki Jorgenson received the Award for the paper:
Visible Structures in Number Theory, The American Mathematical Monthly 108 (2001), 897-910
Dirk Huylebrouck received the Award for the paper:
Similarities in Irrationality Proofs for π, ln2, ζ (2), and ζ (3), The American Mathematical Monthly 108 (2001), 222-231
Greg Martin received the Award for the paper:
Absolutely Abnormal Numbers, The American Mathematical Monthly 108 (2001), 746-754
David Lindsay Roberts received the Award for the paper:
Moore's Early Twentieth-Century Program for Reform in Mathematics Education, The American Mathematical Monthly 108 (2001), 689-696
2003
Leonard Gillman received the Award for the paper:
Two Classical Surprises Concerning the Axiom of Choice and the Continuum Hypothesis, The American Mathematical Monthly 109 (2002), 544-553.
Warren P Johnson received the Award for the paper:
The Curious History of Faa du Bruno's Formula, The American Mathematical Monthly 109 (2002), 217-234.
Sam Northshield received the Award for the paper:
Associativity of the Secant Method, The American Mathematical Monthly 109, 2002, 246-257.
Eleanor Robson received the Award for the paper:
Words and Pictures: New Light on Plimpton 322, The American Mathematical Monthly 109 (2002), 105-120.
Sergio B Volchan received the Award for the paper:
What Is a Random Sequence, The American Mathematical Monthly 109 (2002), 46-63.
2004
Noam Elkies received the Award for the paper:
On the Sums, The American Mathematical Monthly 110 (2003), 561-573.
Charles Livingston received the Award for the paper:
Enhanced Linking Numbers, The American Mathematical Monthly 110 (2003), 361-385.
R Michael Range received the Award for the paper:
Complex Analysis: A Brief Tour into Higher Dimensions The American Mathematical Monthly 110 (2003), 89-108.
Ruediger Thiele received the Award for the paper:
Hilbert's Twenty-Fourth Problem, The American Mathematical Monthly 110 (2003), 1-24.
2005
Tom Apostol and Mamikon Mnatsakanian received the Award for the papers:
Isoperimetric and Isoparametric Problems, The American Mathematical Monthly 111 (2) (2004), 118-136.
A Fresh Look at the Method of Archimedes, The American Mathematical Monthly 111 (2004), 496-508.
Figures Circumscribing Circles, The American Mathematical Monthly 111 (2004), 853-863.
Henry Cohn received the Award for the paper:
Projective Geometry over F1𝐹1 and the Gaussian Binomial Coefficents, The American Mathematical Monthly 111 (2004), 487-495.
Alan Edelman and Gilbert Strang received the Award for the paper:
Pascal Matrices, The American Mathematical Monthly 111 (2004), 361-385.
Steven Finch and John Wetzel received the Award for the paper:
Lost in a Forest, The American Mathematical Monthly 111 (2004), 645-654.
Judith Grabiner received the Award for the paper:
Newton, Maclaurin, and the Authority of Mathematics, The American Mathematical Monthly 111 (2004), 841-852.
2006
Ibetsam Bajunaid, Joel M Cohen, Flavia Colonna and David Singman received the Award for the paper:
Function Series, Catalan Numbers, and Random Walks on Trees, The American Mathematical Monthly 112 (2005), 755-785
William Dunham received the Award for the paper:
Touring the Calculus Gallery, The American Mathematical Monthly 112 (2005), 1-19
Edward B Burger received the Award for the paper:
A Tail of Two Palindromes, The American Mathematical Monthly 112 (2005), 311-321
Karl Dilcher and Kenneth B Stolarsky received the Award for the paper:
A Pascal-Type Triangle Characterizing Twin Primes, The American Mathematical Monthly 112 (2005), 673-681.
Viktor Blåsjö received the Award for the paper:
The Evolution of the Isoperimetric Problem, The American Mathematical Monthly 112 (2005), 526-566
2007
Andrew Granville and Greg Martin received the Award for the paper:
Prime Number Races, The American Mathematical Monthly 113 (2006), 1-33.
Jeffrey C Lagarias received the Award for the paper:
Wild and Wooley Numbers, The American Mathematical Monthly 113 (2006), 97-108.
Lluís Bibiloni, Jaume Paradís and Pelegrí Viader received the Award for the paper:
On a Series of Goldbach and Euler, The American Mathematical Monthly 113 (2006), 206-220.
Harold P Boas received the Award for the paper:
Reflections on the Arbelos, The American Mathematical Monthly 113 (2006), 236-249.
Michael J Mossinghoff received the Award for the paper:
A $1 Problem, The American Mathematical Monthly 113 (2006), 385-402.
2008
Tom M Apostol and Mamikon A Mnatsakanian received the Award for the paper:
Unwrapping Curves from Cylinders and Cones, The American Mathematical Monthly 114 (2007), 388-416.
David Auckly received the Award for the paper:
Solving the Quartic with a Pencil, The American Mathematical Monthly 114 (2007), 29-39.
Andrew Cohen and Tanya Leise received the Award for the paper:
Nonlinear Oscillators at Our Fingertips, The American Mathematical Monthly 114 (2007), 14-28.
Thomas C Hales received the Award for the paper:
The Jordan Curve Theorem, Formally and Informally, The American Mathematical Monthly 114 (2007), 882-894.
Katherine Socha received the Award for the paper:
Circles in Circles: Creating a Mathematical Model of Surface Water Waves, The American Mathematical Monthly 114 (2007), 202-216.
2009
Michel Balinski received the Award for the paper:
Fair Majority Voting (or How to Eliminate Gerrymandering), The American Mathematical Monthly 115 (2) (2008), 97-113.
Andrew Bashelor, Amy Ksir and Will Traves received the Award for the paper:
Enumerative Algebraic Geometry of Conics, The American Mathematical Monthly 115 (8) (2008), 701-728.
Andrew Granville received the Award for the paper:
Prime Number Patterns, The American Mathematical Monthly 115 (4) (2008), 279-296.
Dan Kalman received the Award for the paper:
An Elementary Proof of Marden's Theorem, The American Mathematical Monthly 115 (4) (2008), 330-338.
2010
Tom M Apostol and Mamikon A Mnatsakanian received the Award for the paper:
New Insight into Cycloidal Areas, The American Mathematical Monthly 116 (7) (2009), 598-611.
Judith Grabiner received the Award for the paper:
Why Did Lagrange 'Prove' the Parallel Postulate?, The American Mathematical Monthly 116 (1) (2009), 3-18.
Jerzy Kocik and Andrzej Solecki received the Award for the paper:
Disentangling a Triangle, The American Mathematical Monthly 116 (3) (2009), 228-237.
Bob Palais, Richard Palais and Stephen Rodi received the Award for the paper:
A Disorienting Look at Euler's Theorem on the Axis of a Rotation, The American Mathematical Monthly 116 (10) (2009), 892-909.
Mike Paterson and Uri Zwick received the Award for the paper:
Overhang, The American Mathematical Monthly 116 (1) (2009), 19-44.
2011
Aaron Abrams and Skip Garibaldi received the Award for the paper:
Finding Good Bets in the Lottery, and Why You Shouldn't Take Them, The American Mathematical Monthly 117 (1) (2010), 3-26.
Marvin Jay Greenberg received the Award for the paper:
Old and New Results in the Foundations of Elementary Plane Euclidean and Non-Euclidean Geometries, The American Mathematical Monthly 117 (3) (2010), 198-219.
Alexander Borisov, Mark Dickinson and Stuart Hastings received the Award for the paper:
A Congruence Problem for Polyhedra, The American Mathematical Monthly 117 (3) (2010), 232-249.
James T Smith received the Award for the paper:
Definitions and Nondefinability in Geometry, The American Mathematical Monthly 117 (6) (2010), 475-489.
Mark Conger and Jason Howald received the Award for the paper:
A Better Way to Deal the Cards, The American Mathematical Monthly 117 (8) (2010), 686-700.
2012
David A Cox received the Award for the paper:
Why Eisenstein Proved the Eisenstein Criterion and Why Schönemann Discovered It First, The American Mathematical Monthly 118 (1) (2011), 3-21.
Ravi Vakil received the Award for the paper:
The Mathematics of Doodling, The American Mathematical Monthly 118 (2) (2011), 116-129.
Peter Sarnak received the Award for the paper:
Integral Apollonian Packings, The American Mathematical Monthly 118 (4) (2011), 291-306.
Graham Everest and Tom Ward received the Award for the paper:
A Repulsion Motif in Diophantine Equations, The American Mathematical Monthly 118 (7) (2011), 584-598.
2013
Robert T Jantzen and Klaus Volpert received the Award for the paper:
On the Mathematics of Income Inequality: Splitting the Gini Index in Two, The American Mathematical Monthly 119 (10) (2012), 824-837.
Dimitris Koukoulopoulos and Johann Thiel received the Award for the paper:
Arrangements of Stars on the American Flag, The American Mathematical Monthly 119 (6) (2012), 443-450.
Lionel Levine and Katherine E Stange received the Award for the paper:
How to Make the Most of a Shared Meal: Plan the Last Bite First, The American Mathematical Monthly 119 (7) (2012), 550-565.
Dan Kalman and Mark McKinzie received the Award for the paper:
Another Way to Sum a Series: Generating Functions, Euler. and the Dilog Function, The American Mathematical Monthly 119 (1) (2012), 42-51.
2014
Will Traves received the Award for the paper:
From Pascal's Theorem to d-Constructible Curves, The American Mathematical Monthly 120) (10) (2013), 901-915.
Tadashi Tokieda received the Award for the paper:
Roll Models, The American Mathematical Monthly 120 (3) (2013), 265-282.
Jacques Lévy Véhel and Franklin Mendivil received the Award for the paper:
Christiane's Hair , The American Mathematical Monthly 120 (9) (2013), 771-786.
Susan H Marshall and Alexander R Perlis received the Award for the paper:
Heronian Tetrahedra Are Lattice Tetrahedra, The American Mathematical Monthly, 120 (2) (2013), 140-149.
2015
Mario Ponce and Patricio Santibanez received the Award for the paper:
On Equidistant Sets and Generalized Conics; The Old and the New, The American Mathematical Monthly 121 (1) (2014), 18-32.
Daniel Velleman received the Award for the paper:
A Drug-Induced Random Walk, The American Mathematical Monthly 121 (4) (2014), 299-317.
Allison Henrich and Louis H Kauffman received the Award for the paper:
Unknotting Unknots, The American Mathematical Monthly 121 (5) (2014), 379-390.
Erwan Brugallé and Kristin Shaw received the Award for the paper:
A Bit of Tropical Geometry, The American Mathematical Monthly 121 (2014), 563-589.
2016
Alex Chin, Gary Gordon, Kellie MacPhee and Charles Vincent received the Award for the paper:
Pick a Tree - Any Tree, The American Mathematical Monthly 122 (5) (2015).
Kenneth S Williams received the Award for the paper:
A 'Four Integers' Theorem and a 'Five Integers' Theorem, The American Mathematical Monthly 122 (6) (2015).
Manya Raman-Sundström received the Award for the paper:
A Pedagogical History of Campactness, The American Mathematical Monthly 122 (7) (2015).
Zhiqin Lu and Julie Rowlett received the Award for the paper:
The Sound of Symmetry, The American Mathematical Monthly 122 (9) (2015).
2017
Harold P Boas received the Award for the paper:
Mocposite Functions, The American Mathematical Monthly 123 (5) (2016), 427-438.
Adrien Kassel and David B Wilson received the Award for the paper:
The Looping Rate and Sandpile Density of Planar Graphs The American Mathematical Monthly 123 (1) (2016), 19-39.
Deborah Kent and David Muraki received the Award for the paper:
A Geometric Solution of a Cubic by Omar Khayyam ... in Which Colored Diagrams Are Used Instead of Letters for the Greater Ease of Learners, The American Mathematical Monthly 123 (2) (2016), 149-160.
Lawrence Zalcman received the Award for the paper:
A Tale of Three Theorems, The American Mathematical Monthly 123 (7) (2016), 643-656.
2018
Michael Barnsley and Andrew Vince received the Award for the paper:
Self-Similar Polygonal Tiling, The American Mathematical Monthly 124 (10) (2017), 905-921.
Paul E Becker, Martin Derka, Sheridan Houghten and Jennifer Ulrich received the Award for the paper:
Build a Sporadic Group in Your Basement, The American Mathematical Monthly 124 (4) (2017), 291-305.
Maria Deijfen, Alexander E Holroyd and James B Martin received the Award for the paper:
Friendly Frogs, Stable Marriage, and the Magic of Invariance, The American Mathematical Monthly 124 (5) (2017), 387-402.
Francis E Su received the Award for the paper:
Mathematics for Human Flourishing, The American Mathematical Monthly 124 (6) (2017), 483-493.
2019
Adrian Rice received the Award for the paper:
Partnership, Partition, and Proof: The Path to the Hardy-Ramanujan Partition Formula, The American Mathematical Monthly 125 (1) (2018), 3-15.
Jonathan M Borwein and Robert M Corless received the Award for the paper:
Gamma and Factorial in the Monthly, The American Mathematical Monthly 125 (5) (2018), 400-424.
Andrew Granville received the Award for the paper:
Using Dynamical Systems to Construct Infinitely Many Primes, The American Mathematical Monthly 125 (6) (2018), 483-496.
Kenneth S Williams received the Award for the paper:
Everything You Wanted To Know About ax2 + by2 + cz2 + dt2 But Were Afraid To Ask, The American Mathematical Monthly 125 (9) (2018), 797-810.
2020
Daniel Ullman and Daniel Velleman received the Award for the paper:
Differences of Bijections, The American Mathematical Monthly 126 (3) (2019), 199-216.
Colin Adams, Allison Henrich, Kate Kearney and Nicholas Scoville received the Award for the paper:
Knots Related by Knotoids, The American Mathematical Monthly 126 (6) (2019), 483-490.
John B Little received the Award for the paper:
The Many Lives of the Twisted Cubic, The American Mathematical Monthly 126 (7) (2019), 579-592.
Balázs Gerencsér and Viktor Harangi received the Award for the paper:
Too Acute to Be True: The Story of Acute Sets, The American Mathematical Monthly 126 (10) (2019), 905-914.
2021
J H Conway, M S Paterson and Moscow (U.S.S.R.) received the Award for the paper:
A Headache-Causing Problem, The American Mathematical Monthly 127 (4) (2020), 291-296.
Brian S Thomson received the Award for the paper:
The Bounded Convergence Theorem, The American Mathematical Monthly 127 (6) (2020), 483-503.
Zhaodong Cai, Matthew Faust, A J Hildebrand, Junxian Li and Yuan Zhang received the Award for the paper:
The Surprising Accuracy of Benford's Law in Mathematics, The American Mathematical Monthly 127 (3) (2020), 217-237.
Ben Blum-Smith and Japheth Wood received the Award for the paper:
Chords of an Ellipse, Lucas Polynomials, and Cubic Equations, The American Mathematical Monthly 127 (8) (2020), 688-705.
2022
William Dunham received the Award for the paper:
Euler and the Cubic Basel Problem, The American Mathematical Monthly 128 (4) (2021), 291-301.
Jan E Holly received the Award for the paper:
What Type of Apollonian Circle Packing Will Appear?, The American Mathematical Monthly 128 (7) (2021), 611-629.
Dominic Klyve and Erik R Tou received the Award for the paper:
A Prime Testing Algorithm from Leonhard Euler, The American Mathematical Monthly 128 (8) (2021), 687-700.
David Lowry-Duda and Miles H Wheeler received the Award for the paper:
Perturbing the Mean Value Theorem: Implicit Functions, the Morse Lemma, and Beyond, The American Mathematical Monthly 128 (1) (2021), 50-61.
2023
Tristram Bogart and Kevin Woods received the Award for the paper:
A Plethora of Polynomials: A Toolbox for Counting Problems, The American Mathematical Monthly 129 (3) (2022), 203-222.
Paul Thomas Young received the Award for the paper:
From Madhava-Leibniz to Lehmer's Limit, The American Mathematical Monthly 129 (6) (2022), 524-538.
Alex Rice received the Award for the paper:
Reciprocal Sums and Counting Functions, The American Mathematical Monthly 129 (10) (2022), 903-912.
Paul Ramond received the Award for the paper:
The Abel-Ruffini Theorem: Complex but Not Complicated, The American Mathematical Monthly 129 (3) (2022), 231-245.
2024
Dan Kalman and Robert Mena received the Award for the paper:
A Tale of Two by Two Matrices, The American Mathematical Monthly 130 (9) (2023), 837-854.
Eli M Hicks, R Andrew Hicks, Ron Perline and Sarah G Rody received the Award for the paper:
Frobenius Integrability, Automotive Blind Spots, Non-reversing Mirrors, and Panoramic Mirrors, The American Mathematical Monthly 130 (3) (2023), 251-266.
Rafael López received the Award for the paper:
What Is the Shape of a Cupola?, The American Mathematical Monthly 130 (3) (2023), 222-238.
Andrew M Bruckner, Judith B Bruckner and Brian S Thomson received the Award for the paper:
Can One Visualize a Continuous Nowhere Differentiable Function?, The American Mathematical Monthly 130 (3) (2023), 214-221.