Index of Award-Winning Articles on History of Mathematics – The Halmos-Ford Award

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.