# The Chauvenet Prize of the Mathematical Association of America

Julian Coolidge, then president of the Mathematical Association of America, presented funds to establish the

Algebraic Functions and Their Divisors,

The Borel Theorem and Its Generalizations,

An Introduction to the Theory of Numbers,

The Convergence of Fourier Series,

Series of Orthogonal Polynomials,

Orthogonal Trigonometric Sums,

On the Structure of Continua,

Modular Fields,

Some Recent Advances in Algebra,

Some Introductory Exercises in the Manipulation of Fourier Transforms,

The Foundations of Probability,

Random Walk and the Theory of Brownian Motion,

Partial Orderings and Moore-Smith Limits,

Recent Advances in the Foundations of Euclidean Plane Geometry,

Linear Systems in Self-Adjoint Form,

Leonhard Euler's Integral: An Historical Profile of the Gamma Function,

Are Logic and Mathematics Identical?,

Differential Equations: Linearity vs. Nonlinearity,

Harmonic Analysis, in

Can One Hear the Shape of a Drum?,

Curves and Surfaces in Euclidean Space,

A Motivated Account of an Elementary Proof of the Prime Number Theorem,

On Local Solvability of Linear Partial Differential Equations,

The Simple Continued Fraction Expansion of e,

The Formation and Decay of Shock Waves,

Real Proofs of Complex Theorems (and vice versa),

Piecewise Polynomials and the Finite Element Method,

Historical Ramblings in Algebraic Geometry and Related Algebra,

Error-Correcting Codes and Invariant Theory: New Applications of a Nineteenth-Century Technique,

Approximation and Abstract Boundaries,

On the Evolution of Noncommutative Harmonic Analysis,

Exponentials Reiterated,

Recent Developments in Primality Testing,

Of Calculations Past and Present: The Archimedean Algorithm,

The Perfidious Polynomial,

Ludwig Bieberbach's Conjecture and Its Proof by Louis de Branges,

The Computer-Aided Discovery of New Embedded Minimal Surfaces,

The New Polynomial Invariants of Knots and Links,

What is Several Complex Variables?,

Ramanujan, Modular Equations, and Approximations to Pi, or, How to Compute One Billion Digits of Pi,

Number Theory as Gadfly,

A Visit to the Newtonian $N$-body Problem via Elementary Complex Variables,

New Points of View in Knot Theory,

The birth of Lie's theory of groups,

Niels Hendrik Abel and equations of the fifth degree,

Newman's short proof of the prime number theorem,

You can't hear the shape of a drum,

A Stroll through the Gaussian Primes,

Cannonballs and Honeycombs,

Diophantine Olympics and World Champions: Polynomials and Primes Down Under,

The Story of the 120-Cell,

Kissing Numbers, Sphere Packings, and Some Unexpected Proofs,

The Gravity of Hades,

It is easy to determine whether a given integer is prime,

Reflections on the Arbelos,

θ: The Master of All, The Mathematical Intelligencer,

Undecidability in Number Theory,

The Four Vertex Theorem and Its Converse, Notices of the American Mathematical Society, 54 (2007), no. 2, 192–207.

Barcodes: The Persistent Topology of Data,

The Mathematics of Doodling,

A Tisket, a Tasket, an Apollonian Gasket,

MAA Hedrick lecturers

**Chauvenet Prize**in 1925. It was named after William Chauvenet. It is awarded at the Annual Meeting of the Association to the author of an outstanding expository article on a mathematical topic by a member of the Association.**Previous Recipients:****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, 10–21**2011**Bjorn Poonen for the paper:Undecidability in Number Theory,

*Notices of the American Mathematical Society*,**55**(2008), no. 3, 344–350**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, 192–207.

**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.#### MacTutor links:

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