## Paul R. Halmos – Lester R. Ford Awards

For outstanding expository papers in *The American Mathematical Monthly*.

#### 2022

William Dunham

Euler and the Cubic Basel Problem

*The American Mathematical Monthly,* Vol. 128, no. 4, March 2021, pp. 291–301.

Dominic Klyve and Erik R. Tou

A Prime Testing Algorithm from Leonhard Euler

*The American Mathematical Monthly,* Vol. 128, no. 8, September 2021, 687–700.

#### 2019

Adrian Rice

Partnership, Partition, and Proof: The Path to the Hardy-Ramanujan Partition Formula

*The American Mathematical Monthly*, Vol. 125, no. 1, January 2018, pp. 3–15.

Jonathan M. Borwein and Robert M. Corless

Gamma and Factorial in the Monthly

*The American Mathematical Monthly*, Vol. 125, no. 5, May 2018, pp. 400–424.

#### 2017

Deborah Kent and David Muraki

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*, Vol. 123, no. 2, February 2016, pp. 149–160.

#### 2016

Manya Raman-Sundström

A Pedagogical History of Compactness

*The American Mathematical Monthly*, Vol. 122, no. 7, August-September 2015, pp. 619–635.

#### 2012

David A. Cox

Why Eisenstein Proved the Eisenstein Criterion and Why Schönemann Discovered It First

*The American Mathematical Monthly*, Vol. 118, no. 1, January 2011, pp. 3–21.

#### 2011

Marvin Jay Greenberg

Old and New Results in the Foundations of Elementary Plane Euclidean and Non-Euclidean Geometries

*The American Mathematical Monthly*, Vol. 117, no. 3, March 2010, pp. 198–219.

James T. Smith

Definitions and Nondefinability in Geometry

*The American Mathematical Monthly*, Vol. 117, no. 6, June 2010, pp. 475–489.

#### 2010

Judith Grabiner

Why Did Lagrange 'Prove' the Parallel Postulate?

*The American Mathematical Monthly*, Vol. 116, no. 1, January 2009, pp. 3–18.

Bob Palais, Richard Palais, and Stephen Rodi

A Disorienting Look at Euler's Theorem on the Axis of a Rotation

*The American Mathematical Monthly*, Vol. 116, no. 10, December 2009, pp. 892–909.

#### 2007

Harold P. Boas

Reflections on the Arbelos

*The American Mathematical Monthly*, Vol. 113, March 2006, pp. 236–249.

#### 2006

William Dunham

Touring the Calculus Gallery

*The American Mathematical Monthly*, Vol. 112, January 2005, pp. 1–19.

Viktor Blåsjö

The Evolution of the Isoperimetric Problem

*The American Mathematical Monthly*, Vol. 112, June-July 2005, pp. 526–566.

#### 2005

Judith Grabiner

Newton, Maclaurin, and the Authority of Mathematics

*The American Mathematical Monthly*, Vol. 111, December 2004, pp. 841–852.

#### 2004

Ruediger Thiele

Hilbert’s Twenty-Fourth Problem

*The American Mathematical Monthly*, Vol. 110, January 2003, pp. 1–24.

#### 2003

Warren P. Johnson

The Curious History of Faa du Bruno's Formula

*The American Mathematical Monthly*, Vol. 109, 2002, pp. 217–234.

Eleanor Robson

Words and Pictures: New Light on Plimpton 322

*The American Mathematical Monthly*, Vol. 109, 2002, pp. 105–120.

#### 2002

David Lindsay Roberts

Moore's Early Twentieth-Century Program for Reform in Mathematics Education

*The American Mathematical Monthly*,Vol. 108, October 2001, pp. 689–696.

#### 1998

Judith V. Grabiner

Was Newton's calculus a dead end? The continental influence of Maclaurin's Treatise of Fluxions

*The American Mathematical Monthly*, Vol. 104, May 1997, pp. 393–410.

Bruce Pourciau

Reading the Masters: Newton and the birth of celestial mechanics

*The American Mathematical Monthly*, Vol. 104, January 1997, pp. 1–19.

#### 1995

Robert Gray

Georg Cantor and transcendental numbers

*The American Mathematical Monthly*, Vol. 101, November 1994, pp. 819–832.

I. Kleiner and N. Movshovitz-Hadar

The role of paradoxes in the evolution of mathematics

*The American Mathematical Monthly*, Vol. 101, December 1994, pp. 963–974.

William C. Waterhouse

A counterexample for Germain

*The American Mathematical Monthly*, Vol. 101, February 1994, pp. 140–150.

#### 1994

Bruce C. Berndt and S. Bhargava

Ramanujan—for lowbrows

*The American Mathematical Monthly*, Vol. 100, August–September 1993, pp. 644–656.

Edgar R. Lorch (Reuben Hersh, editor)

Szeged in 1934

*The American Mathematical Monthly*, Vol. 100, March 1993, pp. 219–230.

#### 1989

Gert Almkvist and Bruce Berndt

Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, pi and the Ladies Diary

*The American Mathematical Monthly*, Vol. 95, August–September 1988, pp. 585–608.

#### 1987

Stuart S. Antman

Book Review of A Convergence of Lives, Sofia Kovalevskaia: scientist, writer, revolutionary, by A. Hibner Koblitz

*The American Mathematical Monthly*, Vol. 93, February 1986, pp. 139–144.

Jacob Korevaar

Bieberbach's conjecture and its proof by Louis de Branges

*The American Mathematical Monthly*, Vol. 93, August–September 1986, pp. 505–514.

#### 1984

Judith Grabiner

Who gave you the epsilon? Cauchy and the origins of rigorous calculus

*The American Mathematical Monthly*, Vol. 90, March 1983, pp. 185–194.

#### 1983

Tony Rothman

Genius and Biographers: The Fictionalization of Evariste Galois

*The American Mathematical Monthly*, Vol. 89, February 1982, pp. 84–106.

#### 1981

R. Creighton Buck

Sherlock Holmes in Babylon

*The American Mathematical Monthly*, Vol. 87, May 1980, pp. 335–345.

#### 1980

Desmond Fearnley-Sander

Hermann Grassmann and the creation of linear algebra

*The American Mathematical Monthly*, Vol 86, December 1979, pp. 809–817.

#### 1977

Shreeram Abhyankar

Historical ramblings in algebraic geometry and related algebra

*The American Mathematical Monthly*, Vol. 83, June–July 1976, pp. 409–448.

William P. Ziemer, William H. Wheeler, S.H. Moolgavkar, Paul R. Halmos, John H. Ewing and William H. Gustafson

American mathematics from 1940 to the day before yesterday

*The American Mathematical Monthly*, Vol. 83, August–September 1976, pp. 503–516.

#### 1975

Raymond Ayoub

Euler and the zeta function

*The American Mathematical Monthly*, Vol. 81, December 1974, pp. 1067–1086.

#### 1974

Lynn A. Steen

Highlights in the history of spectral theory

*The American Mathematical Monthly*, Vol. 80, April 1973, pp. 359–381.

#### 1973

Jean A. Dieudonné

The historical development of algebraic geometry

*The American Mathematical Monthly*, Vol. 79, October 1972, pp. 827–866.

Thomas L. Saaty

Thirteen colorful variations on Guthrie's four-color conjecture

*The American Mathematical Monthly*, Vol. 79, January 1972, pp. 2–43.

R. L. Wilder

History in the mathematics curriculum: Its status, equality, and function

*The American Mathematical Monthly*, Vol. 79, May 1972, pp. 479–495.

#### 1971

Jean A. Dieudonné

The work of Nicholas Bourbaki

*The American Mathematical Monthly*, Vol. 77, February 1970, pp. 134–145.

#### 1970

Henry L. Alder

Partition identities—from Euler to the present

*The American Mathematical Monthly*, Vol. 76, September 1969, pp. 733–746.

William A. Coppel

J.B. Fourier—on the occasion of his two hundredth birthday

*The American Mathematical Monthly*, Vol. 76, May 1969, pp. 468–483.