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The Paul R. Halmos-Lester R. Ford Awards 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 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 recognize the support for the awards provided by the Halmos family and to recognize Paul R. Halmos, a distinguished mathematician and editor of The Monthly, 1982-1986.

Past Recipients

2023

Tristram Bogart and Kevin Woods
A Plethora of Polynomials: A Toolbox for Counting Problems,
The American Mathematical Monthly, 129:3, 203–222.
doi.org/10.1080/00029890.2022.2010487

Paul Thomas Young
From Madhava-Leibniz to Lehmer’s Limit,
The American Mathematical Monthly, 129:6, 524–538.
doi.org/10.1080/00029890.2022.2051405

Alex Rice
Reciprocal Sums and Counting Functions,
The American Mathematical Monthly, 129:10, 903–912.
doi.org/10.1080/00029890.2022.2115268

Paul Ramond
The Abel-Ruffini Theorem: Complex but Not Complicated,
The American Mathematical Monthly, 129:3, 231–245.
doi.org/10.1080/00029890.2022.2010494

2022

William Dunham
Euler and the Cubic Basel Problem,
The American Mathematical Monthly, 128:4, 291–301.
doi.org/10.1080/ 00029890.2021.1865014

Jan E. Holly
What Type of Apollonian Circle Packing Will Appear?,
The American Mathematical Monthly, 128:7, 611–629.
doi.org/10.1080/00029890.2021.1933834

Dominic Klyve and Erik R. Tou
A Prime Testing Algorithm from Leonhard Euler,
The American Mathematical Monthly, 128:8, 687–700.
doi.org/10.1080/00029890.2021.1943118

David Lowry-Duda and Miles H. Wheeler
Perturbing the Mean Value Theorem: Implicit Functions, the Morse Lemma, and Beyond,
The American Mathematical Monthly, 128:1, 50–61.
doi.org/10.1080/00029890.2021.1840879

2021

J. H. Conway, M. S. Paterson, and Moscow (U.S.S.R.)
A Headache-Causing Problem
The American Mathematical Monthly, Volume 127, Number 4, pp. 291–296.
DOI: 10.1080/00029890.2020.1712168

Brian S. Thomson
The Bounded Convergence Theorem
The American Mathematical Monthly, Volume 127, Number 6, pp. 483–503.
DOI: 10.1080/00029890.2020.1736470

Zhaodong Cai, Matthew Faust, A. J. Hildebrand, Junxian Li, and Yuan Zhang
The Surprising Accuracy of Benford’s Law in Mathematics
The American Mathematical Monthly, Volume 127, Number 3, pp. 217–237.
DOI: 10.1080/00029890.2020.1690387

Ben Blum-Smith and Japheth Wood
Chords of an Ellipse, Lucas Polynomials, and Cubic Equations
The American Mathematical Monthly, Volume 127, Number 8, pp. 688–705.
DOI: 10.1080/00029890.2020.1785253

2020

Daniel Ullman and Daniel Velleman
Differences of Bijections
The American Mathematical Monthly, Volume 126, Number 3, March 2019, pp. 199–216.

Colin Adams, Allison Henrich, Kate Kearney, and Nicholas Scoville
Knots Related by Knotoids
The American Mathematical Monthly, Volume 126, Number 6, May 2019, pp. 483–490.

John B. Little
The Many Lives of the Twisted Cubic
The American Mathematical Monthly, Volume 126, Number 7, July 2019, pp. 579–592.

Balázs Gerencsér and Viktor Harangi
Too Acute to Be True: The Story of Acute Sets
The American Mathematical Monthly, Volume 126, Number 10, November 2019, pp. 905–914.

2019

Adrian Rice
Partnership, Partition, and Proof: The Path to the Hardy-Ramanujan Partition Formula
The American Mathematical Monthly, Volume 125, Number 1, January 2018, pp. 3–15.

Jonathan M. Borwein and Robert M. Corless
Gamma and Factorial in the Monthly
The American Mathematical Monthly, Volume 125, Number 5, May 2018, pp. 400–424.

Andrew Granville
Using Dynamical Systems to Construct Infinitely Many Primes
The American Mathematical Monthly, Volume 125, Number 6, June/July 2018, pp. 483–496.

Kenneth S. Williams
Everything You Wanted To Know About axby2 + cz2 + dt2 But Were Afraid To Ask
The American Mathematical Monthly, Volume 125, Number 9, November 2018, pp. 797–810.

2018

Michael Barnsley and Andrew Vince
Self-Similar Polygonal Tiling
The American Mathematical Monthly, Volume 124, Number 10, December 2017, Pages 905-921.

Paul E. Becker, Martin Derka, Sheridan Houghten & Jennifer Ulrich
Build a Sporadic Group in Your Basement
The American Mathematical Monthly, Volume 124, Number 4, April 2017, Pages 291-305.

Maria Deijfen, Alexander E. Holroyd & James B. Martin
Friendly Frogs, Stable Marriage, and the Magic of Invariance
The American Mathematical Monthly, Volume 124, Number 5, May 2017, Pages 387-402.

Francis E. Su
Mathematics for Human Flourishing
The American Mathematical Monthly, Volume 124, Number 6, June/July 2017, Pages 483-493.

2017

Harold P. Boas
Mocposite Functions
The American Mathematical Monthly, vol. 123, no. 5, May 2016, pp. 427-438.

Adrien Kassel and David B. Wilson
The Looping Rate and Sandpile Density of Planar Graphs
The American Mathematical Monthly, vol. 123, no. 1, January 2016, pp. 19-39.

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.

Lawrence Zalcman
A Tale of Three Theorems
The American Mathematical Monthly, vol. 123, no. 7, August-September 2016, pp. 643-656.

2016

Alex Chin, Gary Gordon, Kellie MacPhee, and Charles Vincent
Pick a Tree – Any Tree
The American Mathematical Monthly, vol. 122, no. 5, May 2015.

Kenneth S. Williams
A ‘Four Integers’ Theorem and a ‘Five Integers’ Theorem
The American Mathematical Monthly, vol. 122, no. 6, June-July 2015.

Manya Raman-Sundström
A Pedagogical History of Campactness
The American Mathematical Monthly, vol. 122, no. 7, August-September 2015.

Zhiqin Lu and Julie Rowlett
The Sound of Symmetry
The American Mathematical Monthly, vol. 122, no. 9, November 2015.

2015

Mario Ponce and Patricio Santibanez
On Equidistant Sets and Generalized Conics; The Old and the New
The American Mathematical Monthly, vol. 121, no. 1, January 2014, pp. 18-32.

Daniel Velleman
A Drug-Induced Random Walk
The American Mathematical Monthly, vol. 121, no. 4, April 2014, pp. 299-317.

Allison Henrich and Louis H Kauffman
Unknotting Unknots
The American Mathematical Monthly, vol. 121, no. 5, May 2014, pp. 379-390.

Erwan Brugallé and Kristin Shaw
A Bit of Tropical Geometry
The American Mathematical Monthly, vol. 121 August-September 2014, pp. 563-589.

2014

Will Traves
From Pascal’s Theorem to d-Constructible Curves
The American Mathematical Monthly, vol. 120, no. 10, December 2013, pp. 901-915.

Tadashi Tokieda
Roll Models
The American Mathematical Monthly, vol. 120, no. 3, March 2013, pp. 265-282.

Jacques Lévy Véhel and Franklin Mendivil
Christiane’s Hair 
The American Mathematical Monthly, vol. 120, no. 9, November 2013, pp. 771-786.

Susan H. Marshall and Alexander R. Perlis
Heronian Tetrahedra Are Lattice Tetrahedra
The American Mathematical Monthly, 120:2 (2013), pp. 140-149.

2013

Robert T. Jantzen and Klaus Volpert
On the Mathematics of Income Inequality: Splitting the Gini Index in Two
The American Mathematical Monthly, vol. 119, no. 10, December 2012, pp. 824-837.

Dimitris Koukoulopoulos and Johann Thiel
Arrangements of Stars on the American Flag
The American Mathematical Monthly, vol. 119, no. 6, June-July 2012, pp. 443-450.

Lionel Levine and Katherine E. Stange
How to Make the Most of a Shared Meal: Plan the Last Bite First
The American Mathematical Monthly, vol. 119, no. 7, August-September 2012, pp. 550-565.

Dan Kalman and Mark McKinzie
Another Way to Sum a Series: Generating Functions, Euler. and the Dilog Function
The American Mathematical Monthly, vol. 119, no. 1, January 2012, pp. 42-51.

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.

Ravi Vakil
The Mathematics of Doodling
The American Mathematical Monthly, vol. 118, no. 2, February 2011, pp. 116-129.

Peter Sarnak
Integral Apollonian Packings
The American Mathematical Monthly, vol. 118, no. 4, April 2011, pp. 291-306.

Graham Everest and Tom Ward
A Repulsion Motif in Diophantine Equations
The American Mathematical Monthly, vol. 118, no. 7, August-September, 2011, pp. 584-598.

2011

Aaron Abrams and Skip Garibaldi
Finding Good Bets in the Lottery, and Why You Shouldn’t Take Them
The American Mathematical Monthly, vol. 117, no. 1, January 2010, pp. 3-26.

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.

Alexander Borisov, Mark Dickinson, and Stuart Hastings
A Congruence Problem for Polyhedra
The American Mathematical Monthly, vol. 117, no. 3, March 2010, pp. 232-249.

James T. Smith
Definitions and Nondefinability in Geometry
The American Mathematical Monthly, vol. 117, no. 6, June 2010, pp. 475-489.

Mark Conger and Jason Howald
A Better Way to Deal the Cards
The American Mathematical Monthly, vol. 117, no. 8, October 2010, pp. 686-700.

2010

Tom M. Apostol and Mamikon A. Mnatsakanian
New Insight into Cycloidal Areas
The American Mathematical Monthly, vol. 116, no. 7, August-September 2009, pp. 598-611.

Judith Grabiner
Why Did Lagrange ‘Prove’ the Parallel Postulate?
The American Mathematical Monthly, vol. 116, no. 1, January 2009, pp. 3-18.

Jerzy Kocik and Andrzej Solecki
Disentangling a Triangle
The American Mathematical Monthly, vol. 116, no. 3, March 2009, pp. 228-237.

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.

Mike Paterson and Uri Zwick
Overhang
The American Mathematical Monthly, vol. 116, no. 1, January 2009, pp. 19-44.

2009

Michel Balinski
Fair Majority Voting (or How to Eliminate Gerrymandering)
The American Mathematical Monthly, vol. 115, no. 2, February 2008, pp. 97-113.

Andrew Bashelor, Amy Ksir, and Will Traves
Enumerative Algebraic Geometry of Conics
The American Mathematical Monthly, vol. 115, no. 8, October 2008, pp. 701-728.

Andrew Granville
Prime Number Patterns
The American Mathematical Monthly, vol. 115, no. 4, April 2008, pp. 279-296.

Dan Kalman
An Elementary Proof of Marden’s Theorem
The American Mathematical Monthly, vol. 115, no. 4, April 2008, pp. 330-338.

2008

Tom M. Apostol and Mamikon A. Mnatsakanian
Unwrapping Curves from Cylinders and Cones
The American Mathematical Monthly, Vol. 114, May 2007, pp. 388–416.

David Auckly
Solving the Quartic with a Pencil
The American Mathematical Monthly, Vol.114, January 2007, pp. 29–39.

Andrew Cohen and Tanya Leise
Nonlinear Oscillators at Our Fingertips
The American Mathematical Monthly, Vol.114, January 2007, pp. 14–28.

Thomas C. Hales
The Jordan Curve Theorem, Formally and Informally
The American Mathematical Monthly, Vol.114, December 2007, pp. 882–894.

Katherine Socha
Circles in Circles: Creating a Mathematical Model of Surface Water Waves
The American Mathematical Monthly, Vol. 114, March 2007, pp. 202–216.

2007

Andrew Granville and Greg Martin
Prime Number Races
The American Mathematical Monthly, Vol. 113, January 2006, pp. 1-33.

Jeffrey C. Lagarias
Wild and Wooley Numbers
The American Mathematical Monthly, Vol. 113, February 2006, pp. 97-108.

Lluís Bibiloni, Jaume Paradís, and Pelegrí Viader
“On a Series of Goldbach and Euler”
The American Mathematical Monthly, Vol. 113, March 2006, pp. 206-220.

Harold P. Boas
Reflections on the Arbelos
The American Mathematical Monthly, Vol. 113, March 2006, pp. 236-249.

Michael J. Mossinghoff
A $1 Problem
The American Mathematical Monthly, Vol. 113, May 2006, pp. 385-402.

2006

Ibetsam Bajunaid, Joel M. Cohen, Flavia Colonna, and David Singman
Function Series, Catalan Numbers, and Random Walks on Trees
The American Mathematical Monthly, Vol 112, November 2005, pp. 755-785

William Dunham
Touring the Calculus Gallery
The American Mathematical Monthly, Vol. 112, January 2005, pp. 1-19

Edward B. Burger
A Tail of Two Palindromes
The American Mathematical Monthly, Vol. 112, April 2005, pp. 311-321

Karl Dilcher and Kenneth B. Stolarsky
A Pascal-Type Triangle Characterizing Twin Primes
The American Mathematical Monthly, Vol. 112, October 2005, pp. 673-681.

Viktor Blåsjö
The Evolution of the Isoperimetric Problem
The American Mathematical Monthly, Vol. 112, June-July 2005, pp. 526-566

2005

Tom Apostol and Mamikon Mnatsakanian
Isoperimetric and Isoparametric Problems
The American Mathematical Monthly, Vol. 111, no. 2, February 2004, pp. 118-136.
A Fresh Look at the Method of Archimedes
The American Mathematical Monthly, Vol. 111, June/July 2004, pp. 496-508.
Figures Circumscribing Circles
The American Mathematical Monthly, Vol. 111, December 2004, pp. 853-863.

Henry Cohn
Projective Geometry over F1𝐹1 and the Gaussian Binomial Coefficents
The American Mathematical Monthly, Vol. 111, June/July 2004, pp. 487-495.

Alan Edelman and Gilbert Strang
Pascal Matrices
The American Mathematical Monthly, Vol. 111, March 2004, pp. 361-385.

Steven Finch and John Wetzel
Lost in a Forest
The American Mathematical Monthly, Vol. 111, October 2004, pp. 645-654.

Judith Grabiner
Newton, Maclaurin, and the Authority of Mathematics
The American Mathematical Monthly, Vol. 111, December 2004, pp. 841-852.

2004

Noam Elkies
On the Sums http://mathdl.maa.org/images/upload_library/22/Ford/elkies.gif
The American Mathematical Monthly, Vol. 110, August-September 2003, pp. 561-573.

Charles Livingston
Enhanced Linking Numbers
The American Mathematical Monthly, Vol. 110, May 2003, pp. 361-385.

R. Michael Range
Complex Analysis: A Brief Tour into Higher Dimensions
The American Mathematical Monthly, Vol. 110, February 2003, pp. 89-108.

Ruediger Thiele
Hilbert’s Twenty-Fourth Problem
The American Mathematical Monthly, Vol. 110,  January 2003, pp. 1-24.

2003

Leonard Gillman
Two Classical Surprises Concerning the Axiom of Choice and the Continuum Hypothesis
The American Mathematical Monthly, Vol. 109, 2002, pp. 544-553.

Warren P. Johnson
The Curious History of Faa du Bruno’s Formula
The American Mathematical Monthly, Vol. 109, 2002, pp. 217-234.

Sam Northshield
Associativity of the Secant Method
The American Mathematical Monthly, Vol. 109, 2002, pp. 246-257.

Eleanor Robson
Words and Pictures: New Light on Plimpton 322
The American Mathematical Monthly, Vol. 109, 2002, pp. 105-120.

Sergio B. Volchan
What Is a Random Sequence
The American Mathematical Monthly, Vol. 109, 2002, pp. 46-63.

2002

Peter Borwein & Loki Jorgenson
Visible Structures in Number Theory
The American Mathematical Monthly,Vol. 108, December, 2001, pp. 897-910

Dirk Huylebrouck
Similarities in Irrationality Proofs for π, ln2, ζ(2), and ζ(3)
The American Mathematical Monthly,Vol. 108, March 2001, pp. 222-231

Greg Martin
Absolutely Abnormal Numbers
The American Mathematical Monthly,Vol. 108, October 2001, pp. 746-754

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

2001

Keith Kendig
Is a 2000-Year-Old Formula Still Keeping Some Secrets?
The American Mathematical Monthly, Vol. 107, May 2000, pp. 402-415.

E.R. Scheinerman
When Close is Close Enough
The American Mathematical Monthly, Vol. 107, June 2000, pp. 489-499.

2000

P. J. McKenna
Large Torsional Oscillations in Suspension Bridges Revisited: Fixing an Old Approximation
The American Mathematical Monthly, Vol. 106, (1999), pp. 1-18.

William Terrell
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, Vol. 106, (1999), pp. 705-719 and 812-828.

Vilmos Totik
A tale of two integrals
The American Mathematical Monthly, Vol. 106, (1999), pp. 227-240.

1999

Yoav Benyamini
Applications of the universal surjectivity of the Cantor set
The American Mathematical Monthly, Vol. 105, (1998), pp. 832-839.

Jerry L. Kazdan
Solving equations, an elegant legacy
The American Mathematical Monthly, Vol. 105, (1998), pp. 1-21.

Bernd Sturmfels
Polynomial equations and convex polytopes
The American Mathematical Monthly, Vol. 105, (1998), pp. 907-922.

1998

S. C. Coutinho
The many avatars of a simple algebra
The American Mathematical Monthly, Vol. 104, (1997), pp. 593-604.

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, (1997), pp. 393-410.

Bruce Pourciau
Reading the Masters: Newton and the birth of celestial mechanics
The American Mathematical Monthly, Vol. 104, (1997), pp. 1-19.

1997

Robert G. Bartle
Return to the Riemann integral
The American Mathematical Monthly, Vol. 103, (1996), pp. 625-632.

A. F. Beardon
Sums of powers of integers
The American Mathematical Monthly, Vol. 103, (1996), pp. 201-213.

John Brillhart and Patrick Morton
A case study in mathematical research: The Golay-Rudin-Shapiro Sequence
The American Mathematical Monthly, Vol. 103, (1996), pp. 854-869.

1996

Martin Aigner
Turan’s Graph Theorem
The American Mathematical Monthly, Vol. 102, (1995), pp. 808-816.

Sheldon Axler
Down with determinants!
The American Mathematical Monthly, Vol. 102, (1995), pp. 139-154.

John Oprea
Geometry and the Foucault Pendulum
The American Mathematical Monthly, Vol. 102, (1995), pp. 515-522.

1995

Fernando Q. Gouvea
A marvelous proof
The American Mathematical Monthly, Vol. 101, (1994), pp. 203-222.

Robert Gray
Georg Cantor and transcendental numbers
The American Mathematical Monthly, Vol. 101, (1994), pp. 819-832.

Jonathan L. King
Three problems in search of a measure
The American Mathematical Monthly, Vol. 101, (1994), pp. 609-628.

I. Kleiner and N. Movshovitz-Hadar
The role of paradoxes in the evolution of mathematics
The American Mathematical Monthly, Vol. 101, (1994), pp. 963-974.

William C. Waterhouse
A counterexample for Germain
The American Mathematical Monthly, Vol. 101, (1994), pp. 140-150.

1994

Bruce C. Berndt and S. Bhargava
Ramanujan–for lowbrows
The American Mathematical Monthly, Vol. 100, (1993), pp. 644-656.

Edgar R. Lorch (Reuben Hersh, editor)
Szeged in 1934
The American Mathematical Monthly, Vol. 100, (1993), pp. 219-230.

Leonard Gillman
An axiomatic approach to the integral
The American Mathematical Monthly, Vol. 100, (1993), pp. 16-25.

Joseph H. Silverman
Taxicabs and sums of two cubes
The American Mathematical Monthly, Vol. 100, (1993), pp. 331-340.

Dan Velleman and Istvan Szalkai
Versatile coins
The American Mathematical Monthly, Vol. 100,  (1993), pp. 26-33.

1993

Carsten Thomassen
The Jordan-Schoenflies Theorem and the classification of surfaces
The American Mathematical Monthly, Vol. 99, (1992), pp. 116-130.

Don Knuth
Two notes on notation
The American Mathematical Monthly, Vol. 99, (1992), pp. 403-422.

1992

Clement W.H. Lam
The search for a finite projective plane of order 10
The American Mathematical Monthly, Vol. 98, (1991), pp. 305-318.

1991

Marcel Y. Berger
Convexity
The American Mathematical Monthly, Vol. 97, (1990), pp. 650-678.

Ronald Graham and Frances Yao
A whirlwind tour of computational geometry
The American Mathematical Monthly, Vol. 97, (1990), pp. 687-701.

Joyce Justicz, Edward R. Scheinerman, and Peter Winkler
Random intervals
The American Mathematical Monthly, Vol. 97, (1990), pp. 881-889.

1990

Jacob Goodman, Janos Pach and Chee K. Yap
Mountain climbing, ladder moving, and the ring-width of a polygon
The American Mathematical Monthly, Vol. 96, (1989), pp. 494-510.

Doron Zeilberger
Kathy O’Hara’s constructive proof of the unimodality of the Gaussian polynomials
The American Mathematical Monthly, Vol. 96, (1989), pp. 590-602.

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, (1988), pp. 585-608.

Richard K. Guy
The strong law of small numbers
The American Mathematical Monthly, Vol. 95, (1988), pp. 697-712.

1988

James Epperson
On the Runge example
The American Mathematical Monthly, Vol. 94, (1987), pp. 329-341.

Stan Wagon
Fourteen proofs of a result about tiling a rectangle
The American Mathematical Monthly, Vol. 94, (1987), pp. 601-617.

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, (1986), pp. 139-144.

Joan Cleary, Sidney Morris and David Yost
Numerical geometry – numbers for shapes
The American Mathematical Monthly, Vol. 93, (1986), pp. 260-275.

Howard Hiller
Crystallography and cohomology of groups
The American Mathematical Monthly, Vol. 93, (1986), pp. 765-779.

Jacob Korevaar
Bieberbach’s conjecture and its proof by Louis de Branges
The American Mathematical Monthly, Vol. 93, (1986), pp. 505-514.

Peter M. Neumann
Book Review of Galois Theory by Harold M. Edwards
The American Mathematical Monthly, Vol. 93, (1986), pp. 407-411.

1986

Jeffrey C. Lagarias
The 3x + 1 problem and its generalizations
The American Mathematical Monthly, Vol. 92, (1985), pp. 3-23.

Michael E. Taylor
Book Review of The Analysis of Linear Partial Differential Operators, Vols I & II by Lars Hö
The American Mathematical Monthly, Vol. 92, (1985), pp. 745-749.

1985

John D. Dixon
Factorization and primality tests
The American Mathematical Monthly, Vol. 91, (1984), pp. 333-352.

Donald G. Saari and John B. Urenko
Newton’s method, circle maps, and chaotic motion
The American Mathematical Monthly, Vol. 91, (1984), pp. 3-17.

1984

Judith Grabiner
Who gave you the epsilon? Cauchy and the origins of rigorous calculus
The American Mathematical Monthly, Vol. 90, (1983), pp. 185-194.

Roger Howe
Very basic Lie theory
The American Mathematical Monthly, Vol. 90, (1983), pp. 600-623.

John Milnor
On the geometry of the Kepler problem
The American Mathematical Monthly, Vol. 90, (1983), pp. 353-365.

Joel Spencer
Large numbers and unprovable theorems
The American Mathematical Monthly, Vol. 90, (1983), pp. 365-366.

William C. Waterhouse
Do symmetric problems have symmetric solutions?
The American Mathematical Monthly, Vol. 90, (1983), pp. 378-387.

1983

Robert F. Brown
The Fixed Point Property and Cartesian Products
The American Mathematical Monthly, Vol. 89, (1982), pp. 654-678.

Tony Rothman
Genius and Biographers: The Fictionalization of Evariste Galois
The American Mathematical Monthly, Vol. 89, (1982), pp. 84-106.

Robert S. Strichartz
Radon inversion – variations on a theme
The American Mathematical Monthly, Vol. 89, (1982) pp. 377-384 and 420-423.

1982

Philip Davis
Are there coincidences in mathematics?
The American Mathematical Monthly, Vol. 88, (1981), pp. 311-320.

R. Arthur Knoebel
Exponentials reiterated
The American Mathematical Monthly, Vol. 88, (1981), pp. 235-252.

1981

R. Creighton Buck
Sherlock Holmes in Babylon
The American Mathematical Monthly, Vol. 87, (1980), pp. 335-345.

Bruce H. Pourciau
Modern multiplier rules
The American Mathematical Monthly, Vol. 87, (1980), pp. 433-452.

Alan H. Schoenfeld
Teaching problem-solving skills
The American Mathematical Monthly, Vol. 87, (1980), pp. 794-805.

Edward R. Swart
The philosophical implications of the four-color problem
The American Mathematical Monthly, Vol. 87, (1980), pp. 697-707.

Lawrence A. Zalcman
Offbeat integral geometry
The American Mathematical Monthly, Vol. 87, (1980), pp. 161-175.

1980

Desmond Fearnley-Sander
Hermann Grassmann and the creation of linear algebra
The American Mathematical Monthly, Vol 86, (1979), pp. 809-817.

David Gale
The game of Hex and the Brouwer fixed-point theorem
The American Mathematical Monthly, Vol. 86, (1979), pp. 818-827.

Karel Hrbacek
Nonstandard set theory
The American Mathematical Monthly, Vol. 86, (1979), pp. 659-677.

Cathleen S. Morawetz
Nonlinear conservation equations
The American Mathematical Monthly, Vol. 86, (1979), pp. 284-287.

Robert Osserman
Bonnesen-style isoperimetric inequalities
The American Mathematical Monthly, Vol. 86, (1979), pp. 1-29.

1979

Bradley Efron
Controversies in the foundations of statistics
The American Mathematical Monthly, Vol. 85, (1978), pp. 231-246.

Ned Glick
Breaking records and breaking boards
The American Mathematical Monthly, Vol. 85, (1978), pp. 2-26.

Kenneth I. Gross
On the evolution of noncommutative harmonic analysis
The American Mathematical Monthly, Vol. 85, (1978), pp. 525-548.

Joseph B. Kruskal and Lawrence A. Shepp
Computerized tomography: the new medical x-ray technology
The American Mathematical Monthly, Vol. 85, (1978), pp. 420-439.

1978

Ralph P. Boas
Partial sums of infinite series, and how they grow
The American Mathematical Monthly, Vol. 84, (1977), pp. 237-258.

Louis H. Kauffman and Thomas F. Banchoff
Immersions and Mod-2 quadratic forms
The American Mathematical Monthly, Vol. 84, (1977), pp. 168-185.

Neil J.A. Sloane
Error correcting codes and invariant theory: new applications of a 19th century technique
The American Mathematical Monthly, Vol. 84, (1977), pp. 82-107.

1977

Shreeram Abhyankar
Historical ramblings in algebraic geometry and related algebra
The American Mathematical Monthly, Vol. 83, (1976), pp. 409-448.

Joseph B. Keller
Inverse problems
The American Mathematical Monthly, Vol. 83, (1976), pp. 107-118.

Donald S. Passman
What is a group ring?
The American Mathematical Monthly, Vol. 83, (1976), pp. 173-185.

Douglas Wiens, Hideo Wada, Daihachiro Sato and James P. Jones
Diophantine representation of the set of prime numbers
The American Mathematical Monthly, Vol. 83, (1976), pp. 449-464

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, (1976), pp. 503-516.

1976

Michel L. Balinski and H.P. Young
The quota method of apportionment
The American Mathematical Monthly, Vol. 82, (1975), pp. 701-730.

Edward A. Bender and J.R. Goldman
On the applications of Mö inversion in combinatorial analysis
The American Mathematical Monthly, Vol. 82, (1975), pp. 789-803.

Branko Grünbaum
Venn diagrams and independent families of sets
The American Mathematical Monthly, Vol. 82, (1975), pp. 12-23.

James E. Humphreys
Representations of SL (2,p)
The American Mathematical Monthly, Vol. 82, (1975), pp. 21-39.

Joseph B. Keller and David W. McLaughlin
The Feynman integral
The American Mathematical Monthly, Vol. 82, (1975), pp. 451-465.

Justin J. Price
Topics in orthogonal functions
The American Mathematical Monthly, Vol. 82, (1975), pp. 594-609.

1975

Raymond Ayoub
Euler and the zeta function
The American Mathematical Monthly, Vol. 81, (1974), pp. 1067-86.

J. Callahan
Singularities and plane maps
The American Mathematical Monthly, Vol. 81, (1974), pp. 211-240.

Donald E. Knuth
Computer science and its relation to mathematics
The American Mathematical Monthly, Vol. 81, (1974), pp. 323-343.

Johannes C.C. Nitsche
Plateau’s problems and their modern ramifications
The American Mathematical Monthly, Vol. 81, (1974), pp. 945-968.

Sherman K. Stein
Algebraic tiling
The American Mathematical Monthly, Vol. 81, (1974), pp. 445-462.

Lawrence Zalcman
Real proofs of complex theorems (and vice versa)
The American Mathematical Monthly, Vol. 81, (1974), pp. 115-137.

1974

Patrick Billingsley
Prime numbers and Brownian motion
The American Mathematical Monthly, Vol. 80, (1973), pp. 1099-1115.

Garrett Birkhoff
Current trends in algebra
The American Mathematical Monthly, Vol. 80, (1973), pp. 760-782.

Martin D. Davis
Hilbert’s tenth problem is unsolvable
The American Mathematical Monthly, Vol. 80, (1973), pp. 233-269.

I.J. Schoenberg
The elementary cases of Landau’s problem of inequalities between derivatives
The American Mathematical Monthly, Vol. 80, (1973), pp. 121-158.

Lynn A. Steen
Highlights in the history of spectral theory
The American Mathematical Monthly, Vol. 80, (1973), pp. 359-381.

R.J. Wilson
An introduction to matroid theory
The American Mathematical Monthly, Vol. 80, (1973), pp. 500-525.

1973

Jean A. Dieudonné
The historical development of algebraic geometry
The American Mathematical Monthly, Vol. 79, (1972), pp. 827-866.

Samuel Karlin
Some mathematical models of population genetics
The American Mathematical Monthly, Vol. 79, (1972), pp. 699-739.

Peter D. Lax
The formation and decay of shock waves
The American Mathematical Monthly, Vol. 79, (1972), pp. 227-241.

Thomas L. Saaty
Thirteen colorful variations on Guthrie’s four-color conjecture
The American Mathematical Monthly, Vol. 79, (1972) pp. 2-43.

Lynn A. Steen
Conjectures and counterexamples in metrization theory
The American Mathematical Monthly, Vol. 79 (1972), pp. 113-132.

R. L. Wilder
History in the mathematics curriculum: Its status, equality, and function
The American Mathematical Monthly, Vol. 79 (1972), pp. 479-495.

1972

Gulbank D. Chakerian and Lester H. Lange
Geometric extremum problems
Mathematics Magazine, Vol. 44, (1971), pp. 57-69.

Paul M. Cohn
Rings of fractions
The American Mathematical Monthly, Vol. 78, (1971), pp. 596-615.

Frederick Cunningham, Jr.
The Kakeya problem for simply connected and for star-shaped Sets
The American Mathematical Monthly, Vol. 78, (1971), pp. 114-129.

W.J. Ellison
Waring’s problem
The American Mathematical Monthly, Vol. 78, (1971) pp. 10-36.

Leon Henkin
Mathematical foundations for mathematics
The American Mathematical Monthly, Vol. 78, (1971), pp. 463-487.

Victor Klee
What is a convex set?
The American Mathematical Monthly, Vol. 78, (1971), pp. 616-631.

1971

Jean A. Dieudonné
The work of Nicholas Bourbaki
The American Mathematical Monthly, Vol. 77, (1970), pp. 134-145.

George Forsythe
Pitfalls in computation, or why a math book isn’t enough
The American Mathematical Monthly, Vol. 77, (1970), pp. 931-956.

Paul R. Halmos
Finite-dimensional Hilbert spaces
The American Mathematical Monthly, Vol. 77, (1970), pp. 457-464.

Eric Langford
A problem in geometric probability
Mathematics Magazine, Vol. 43, (1970), pp. 237-244.

Peter V. O’Neil
Ulam’s conjecture and graph reconstructions
The American Mathematical Monthly, Vol. 77, (1970), pp. 35-43.

Olga Taussky
Sums of squares
The American Mathematical Monthly, Vol. 77, (1970), pp. 805-830.

1970

Henry L. Alder
Partition identities – from Euler to the present
The American Mathematical Monthly, Vol. 76, (1969), pp. 733-746.

Ralph P. Boas
Inequalities for the derivatives of polynomials
Mathematics Magazine, Vol. 42, (1969), pp. 165-174.

William A. Coppel
J.B. Fourier – on the occasion of his two hundredth birthday
The American Mathematical Monthly, Vol. 76, (1969), pp. 468-483.

Norman Levinson
A motivated account of an elementary proof of the prime number theorem
The American Mathematical Monthly, Vol. 76, (1969), pp. 225-245.

John Milnor
A problem in cartography
The American Mathematical Monthly, Vol. 76, (1969), pp. 1101-1112.

Ivan Niven
Formal power series
The American Mathematical Monthly, Vol. 76, (1969), pp. 871-889.

1969

Harley Flanders
A proof of Minkowski’s inequality for convex curves
The American Mathematical Monthly, Vol. 75, (1968), pp. 581-593.

George Forsythe
What to do till the computer scientist comes
The American Mathematical Monthly, Vol. 75, (1968), pp. 454-462.

Marcel F. Neuts
Are many 1-1 functions on the positive integers onto?
Mathematics Magazine, Vol. 41, (1968), pp. 103-109.

Pierre Samuel
Unique Factorization
The American Mathematical Monthly, Vol. 75, (1968), pp. 945-952.

Hassler Whitney
The mathematics of physical quantities
The American Mathematical Monthly, Vol. 75, (1968), pp. 115-138, 227-256.

Albert Wilansky
Spectral decomposition of matrices for high school students
Mathematics Magazine, Vol. 41, (1968), pp. 51-59.

1968

Frederick Cunningham, Jr.
Taking limits under the integral sign
Mathematics Magazine, Vol.  40, (1967), pp. 179-186.

W.F. Newns
Functional Dependence
The American Mathematical Monthly, Vol. 74, (1967), pp. 911-920.

Daniel Pedoe
On a Theorem in Geometry
The American Mathematical Monthly, Vol. 74, (1967), pp. 627-640.

Keith L. Phillips
The Maximal Theorems of Hardy and Littlewood
The American Mathematical Monthly, Vol. 74, (1967), pp. 648-660.

F.V. Waugh and Margaret W. Maxfield
Side-and-Diagonal numbers
Mathematics Magazine, Vol. 40, (1967), pp. 74-83.

Hans J. Zassenhaus
On the fundamental theorem of algebra
The American Mathematical Monthly, Vol. 74, (1967), pp. 485-497.

1967

Wai-Kai Chen
Boolean matrices and switching nets
Mathematics Magazine, Vol. 39, (1966), pp. 1-8.

D.R. Fulkerson
Flow networks and combinatorial operations research
The American Mathematical Monthly, Vol. 73, (1966), pp. 115-138.

Mark Kac
Can one hear the shape of a drum?
The American Mathematical Monthly, Vol. 73, (1966), Part II, pp. 1-23.

M. Zuhair Nashed
Some remarks on variations and differentials
The American Mathematical Monthly, Vol. 73, (1966), Part II, pp. 63-76.

Paul B. Yale
Automorphisms of the complex numbers
Mathematics Magazine, Vol. 39, (1966), pp. 135-141.

1966

Carl B. Allendoerfer
Generalizations of theorems about triangles
Mathematics Magazine, Vol. 38, (1965), pp. 253-259.

Peter D. Lax
Numerical solutions of partial differential equations
The American Mathematical Monthly, Vol. 72, (1965), Part II, pp. 78-84.

Marvin Marcus and Henryk Minc
Permanents
The American Mathematical Monthly, Vol. 72, (1965), pp. 577-591.

1965

R. H. Bing
Spheres in E3
The American Mathematical Monthly, Vol. 71, (1964), pp. 353-364.

Louis Brand
A Division Algebra for Sequences and Its Associated Operational Calculus
The American Mathematical Monthly, Vol. 71, (1964), pp. 719-728.

Robert G. Kuller
Coin tossing, probability, and the Weierstrass approximation theorem
Mathematics Magazine, Vol. 37, (1964), pp. 262-267.

R. Duncan Luce
The Mathematics Used in Mathematical Psychology
The American Mathematical Monthly, Vol. 71, (1964), pp. 364-378.

Hartley Rogers, Jr.
Information Theory
Mathematics Magazine, Vol. 37, (1964), pp. 63-78.

Elmer Tolsted
An Elementrary Derivation of Cauchy, Holder, and Minkowski Inequalities From Young’s Inequality
Mathematics Magazine, Vol. 37, (1964), pp. 2-12.