Lester R. Ford Awards

The Lester R. Ford Awards, established in 1964, are made annually to authors of outstanding expository papers in The American Mathematical Monthly.  Initially the awards were for articles in either the Monthly or Mathematics Magazine. With the establishment of the Allendoerfer Award in 1976, the Ford Awards were restricted to articles in the Monthly.

The awards are named for Lester R. Ford, Sr., a distinguished mathematician, editor of the Math Monthly (1942-46), and President of the Mathematical Association of America (1947-48).

In 2012 the MAA 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. 

 

Recipients in 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 Dialog Function

The American Mathematical Monthly, vol. 119, no. 1, January 2012, pp. 42-51

 

Recipients in 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 Sarnack

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.

 

Recipients in 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.

 

Recipients in 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.

 

Recipients in 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.

 

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.

 

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.

 

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 R. 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

 

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 1 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.

 

 

Noam Elkies
On the Sums 
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.

 

 

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.

 

 

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

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

Clement W.H. Lam

The search for a finite projective plane of order 10

The American Mathematical Monthly, Vol. 98, (1991), pp. 305-318.

 

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

 

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.

 

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

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.

 

 

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.