1925 Gilbert A Bliss for the paper:
Algebraic Functions and Their Divisors, Annals of Mathematics 26 (1924), 95-124.
1929 T H Hildebrandt for the paper:
The Borel Theorem and Its Generalizations, Bull. Amer. Math. Soc. 32 (1926), 423-474.
1932 G H Hardy for the paper:
An Introduction to the Theory of Numbers, Bull. Amer. Math. Soc. 35 (1929), 778-818.
1935 Dunham Jackson for the papers:
The Convergence of Fourier Series, Amer. Math. Monthly 41 (1934), 67-84;
Series of Orthogonal Polynomials, Annals of Mathematics 34 (1933), 527-545;
Orthogonal Trigonometric Sums, Annals of Mathematics 34 (1933), 799-814.
1938 Gordon T Whyburn for the paper:
On the Structure of Continua, Bull. Amer. Math. Soc. 42 (1936), 49-73.
1941 Saunders MacLane for the papers:
Modular Fields, Amer. Math. Monthly 47 (1940), 67-84;
Some Recent Advances in Algebra, Amer. Math. Monthly 46 (1939), 3-19.
1944 R H Cameron for the paper:
Some Introductory Exercises in the Manipulation of Fourier Transforms, Nat. Math. Mag. 15 (1941), 331-356.
1947 Paul R Halmos for the paper:
The Foundations of Probability, Amer. Math. Monthly 51 (1944), 493-510.
1950 Mark Kac for the paper:
Random Walk and the Theory of Brownian Motion, Amer. Math. Monthly 54 (1947), 369-391.
1953 Edward J McShane for the paper:
Partial Orderings and Moore-Smith Limits, Amer. Math. Monthly 59 (1952), 1-11.
1956 R H Bruck for the paper:
Recent Advances in the Foundations of Euclidean Plane Geometry, Amer. Math. Monthly 62 (1955), 2-17.
1960 Cornelius Lanczos for the paper:
Linear Systems in Self-Adjoint Form, Amer. Math. Monthly 65 (1958), 665-679.
1963 Philip J Davis, for the paper:
Leonhard Euler's Integral: An Historical Profile of the Gamma Function, Amer. Math. Monthly 66 (1959), 849-869.
1964 Leon Henkin for the paper:
Are Logic and Mathematics Identical?, Science 138 (1962), 788-794.
1965 Jack K Hale and Joseph P LaSalle for the paper:
Differential Equations: Linearity vs. Nonlinearity, SIAM Review 5 (1963), 249-272.
1967 Guido Weiss for the paper:
Harmonic Analysis, in Studies in Real and Complex Analysis, MAA Stud. Math. 3 (Math. Assoc. America, Washington, DC, 1965), 124-178.
1968 Mark Kac for the paper:
Can One Hear the Shape of a Drum?, Amer. Math. Monthly 73 (1966), 1-23.
1970 Shiing Shen Chern for the paper:
Curves and Surfaces in Euclidean Space, Studies in Global Geometry and Analysis, MAA Stud. Math. 4 (Math. Assoc. America, Washington, DC, 1967), 16-56.
1971 Norman Levinson for the paper:
A Motivated Account of an Elementary Proof of the Prime Number Theorem, Amer. Math. Monthly 76 (1969), 225-245.
1972 Jean Francois Treves for the paper:
On Local Solvability of Linear Partial Differential Equations, Bull. Amer. Math. Soc. 76 (1970), 552-571.
1973 C D Olds for the paper:
The Simple Continued Fraction Expansion of e, Amer. Math. Monthly 77 (1970), 968-974.
1974 Peter D Lax for the paper:
The Formation and Decay of Shock Waves, Amer. Math. Monthly 79 (1972), 227-241.
1975 M D Davis and Reuben Hersh, Hilbert's 10th Problem, Scientific American 229 (5) (1973), 84-91.
1976 Lawrence Zalcman for the paper:
Real Proofs of Complex Theorems (and vice versa), Amer. Math. Monthly 81 (1974), 115-137.
1977 W Gilbert Strang for the paper:
Piecewise Polynomials and the Finite Element Method, Bull. Amer. Math. Soc. 79 (1973), 1128-1137.
1978 Shreeram S Abhyankar for the paper:
Historical Ramblings in Algebraic Geometry and Related Algebra, Amer. Math. Monthly 83 (1976), 409-448.
1979 Neil J A Sloane for the paper:
Error-Correcting Codes and Invariant Theory: New Applications of a Nineteenth-Century Technique, Amer. Math. Monthly 84 (1977), 82-107.
1980 Heinz Bauer for the paper:
Approximation and Abstract Boundaries, Amer. Math. Monthly 85 (1978), 632-647.
1981 Kenneth I Gross for the paper:
On the Evolution of Noncommutative Harmonic Analysis, Amer. Math. Monthly 85 (1978), 525-548.
1982 No award given.
1983 No award given.
1984 R Arthur Knoebel for the paper:
Exponentials Reiterated, Amer. Math. Monthly 88 (1981), 235-252.
1985 Carl Pomerance for the paper:
Recent Developments in Primality Testing, Math. Intelligencer 3 (1981), 97-105.
1986 George Miel for the paper:
Of Calculations Past and Present: The Archimedean Algorithm, Amer. Math. Monthly 90 (1983), 17-35.
1987 James H Wilkinson for the paper:
The Perfidious Polynomial, Studies in Numerical Analysis, MAA Stud. Math. 24 (Math. Assoc. America, Washington, DC, 1984), 1-28.
1988 Stephen Smale, On the Efficiency of Algorithms in Analysis, Bull. Amer. Math. Soc. (N.S.) 13 (1985), 87-121.
1989 Jacob Korevaar for the paper:
Ludwig Bieberbach's Conjecture and Its Proof by Louis de Branges, Amer. Math. Monthly 93 (1986), 505-514.
1990 David Allen Hoffman for the paper:
The Computer-Aided Discovery of New Embedded Minimal Surfaces, Math. Intelligencer 9 (1987), 8-21.
1991 W B Raymond Lickorish and Kenneth C Millett for the paper:
The New Polynomial Invariants of Knots and Links, Math. Mag. 61 (1988), 2-23.
1992 Steven G Krantz for the paper:
What is Several Complex Variables?, Amer. Math. Monthly 94 (1987), 236-256.
1993 David H Bailey, Jonathan M Borwein and Peter B Borwein for the paper:
Ramanujan, Modular Equations, and Approximations to Pi, or, How to Compute One Billion Digits of Pi, Amer. Math. Monthly 96 (1989), 201-219.
1994 Barry Mazur for the paper:
Number Theory as Gadfly, Amer. Math. Monthly 98 (1991), 593-610.
1995 Donald G Saari for the paper:
A Visit to the Newtonian N-body Problem via Elementary Complex Variables, Amer. Math. Monthly 97 (1990), 105-119.
1996 Joan Birman for the paper:
New Points of View in Knot Theory, Bull. Amer. Math. Soc. (N.S.) 28 (1993), 253-287.
1997 Tom Hawkins for the paper:
The birth of Lie's theory of groups, Math. Intelligencer 16 (1994), 6-17.
1998 Alan Edelman and Eric Kostlan, How many zeros of a random polynomial are real?, Bull. Amer. Math. Soc. (N.S.) 32 (1995), 1-37.
1999 Michael I Rosen for the paper:
Niels Hendrik Abel and equations of the fifth degree, Amer. Math. Monthly 102 (1995), 495-505.
2000 Don Zagier for the paper:
Newman's short proof of the prime number theorem, Amer. Math. Monthly 104 (1997), 705-708.
2001 Carolyn S Gordon and David L Webb for the paper:
You can't hear the shape of a drum, American Scientist 84 (1996), 46-55.
2002 Ellen Gethner, Stan Wagon, and Brian Wick for the paper:
A Stroll through the Gaussian Primes, American Mathematical Monthly 105 (1998), 327-337.
2003 Thomas C Hales for the paper:
Cannonballs and Honeycombs, Notices Amer. Math. Soc. 47 (4) (2000), 440-449.
2004 Edward B Burger for the paper:
Diophantine Olympics and World Champions: Polynomials and Primes Down Under, Amer. Math. Monthly 107 (9) (2000), 822-829.
2005 John Stillwell for the paper:
The Story of the 120-Cell, Notices Amer. Math. Soc. (January 2001), 17-24.
2006 Florian Pfender and Günter M Ziegler for the paper:
Kissing Numbers, Sphere Packings, and Some Unexpected Proofs, Notices Amer. Math. Soc. (September 2004), 873-883.
2007 Andrew J Simoson for the paper:
The Gravity of Hades, Mathematics Magazine 75 (5) (December 2002), 335-350.
2008 Andrew Granville for the paper:
It is easy to determine whether a given integer is prime, Bull. Amer. Math. Soc. 42 (2005), 3-38.
2009 Harold P Boas for the paper:
Reflections on the Arbelos, Amer. Math. Monthly 113 (2006), 236-249.
2010 Brian J McCartin for the paper:
θ: The Master of All, The Mathematical Intelligencer, 28 (2006), no. 2, 10Ð21
2011 Bjorn Poonen for the paper:
Undecidability in Number Theory, Notices of the American Mathematical Society, 55 (2008), no. 3, 344Ð350
2012 Dennis DeTurck, Herman Gluck, Daniel Pomerleano, and Shea Vela-Vick for the paper:
The Four Vertex Theorem and Its Converse, Notices of the American Mathematical Society, 54 (2007), no. 2, 192Ð207.
2013 Robert Ghrist for the paper:
Barcodes: The Persistent Topology of Data, Bulletin (New Series) of the American Mathematical Society, 45, no. 1, January 2008, pp. 61-75
2014 Ravi Vakil for the paper:
The Mathematics of Doodling, American Mathematical Monthly, 118 (2011), no. 2, 116-129.
2015 Dana Mackenzie for the paper:
A Tisket, a Tasket, an Apollonian Gasket, American Scientist, 98 January-February 2010, no. 1, 10-14.
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