The Paul R. Halmos-Lester R. Ford Awards recognize authors of articles of expository excellence published in *The American Mathematical Monthly. *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. Up to four of these awards, each $1000, are given annually at the Summer Meeting of the Association. All awards given from 1976 on are for articles that appear in *The American Mathematical Monthly*. Between 1965 and 1975, Ford awards were given for articles in the *Monthly*or *Mathematics Magazine*.

2012

David A. Cox (Amherst College)

“Why Eisenstein Proved the Eisenstein Criterion and Why Schönemann Discovered It First,” *American Mathematical Monthly*, 118:1 (2011), p. 3-21.

Graham Everest and Thomas Ward (University of East Anglia)“

A Repulsion Motif in Diophantine Equations," *American Mathematical Monthly*, 118:7 (2011), p. 584-598.

Peter Sarnak (Princeton University)

“Integral Apollonian Packings," *American Mathematical Monthly*, 118:4 (2011), p. 291-306.

Ravi Vakil (Stanford University)

"The Mathematics of Doodling,"* American Mathematical Monthly*, 118:2 (2011), p. 116-129.

2011

James T. Smith

“Definitions and Nondefinability in Geometry,” *American Mathematical Monthly*, 117:6 (2010), p. 475-489.

Marvin Jay Greenberg

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

*American Mathematical Monthly,* 117:3 (2010), p. 198-219.

Mark A. Conger and Jason Howald

“A Better Way to Deal the Cards,” *American Mathematical Monthly*, 117:8 (2010), p. 686-700.

Alexander Borisov, Mark Dickinson, and Stuart Hastings

“A Congruence Problem for Polyhedra,”

*American Mathematical Monthly*, 117:3 (2010), p. 232-249.

Aaron Abrams and Skip Garibaldifor

“Finding Good Bets in the Lottery, and Why You Shouldn’t Take Them,”

*American Mathematical Monthly*, 117:1 (2010), p. 3-26.

2010

Tom M. Apostol and Mamikon A. Mnatsakanian

“New Insight into Cycloidal Areas”

*American Mathematical Monthly*, 116:7 (2009), pp. 598–611

Judith Grabiner

“Why Did Lagrange 'Prove' the Parallel Postulate?”

*American Mathematical Monthly*, 116:1 (2009), pp. 3–18

Jerzy Kocik and Andrzej Solecki

“Disentangling a Triangle”

*American Mathematical Monthly*, 116:3 (2009), pp. 228–237

Bob Palais, Richard Palais, and Stephen Rodi

“A Disorienting Look at Euler?s Theorem on the Axis of a Rotation”

*American Mathematical Monthly*, 116:10 (2009), pp. 892–909.

Mike Paterson and Uri Zwick

“Overhang”

*American Mathematical Monthly*, 116:1 (2009), pp. 19–44

2009

Michel Balinski “Fair Majority Voting (or How to Eliminate Gerrymandering)”

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

Mehrdad Khosravi and Michael D. Taylor

“The Wedge Product and Analytic Geometry”

*The American Mathematical Monthly, *vol. 115, no. 7, August/September 2008, pp. 623–644

2008

Tom M. Apostol and Mamikon A. Mnatsakanian“Unwrapping Curves from Cylinders and Cones”

David Auckly

“Solving the Quartic with a Pencil”

*The American Mathematical Monthly, *vol.114, no. 1, January 2007, pp. 29–39.

Andrew Cohen and Tanya Leise

“Nonlinear Oscillators at Our Fingertips”

*The American Mathematical Monthly, *vol.114, no. 1, January 2007, pp. 14–28.

Thomas C. Hales

“The Jordan Curve Theorem, Formally and Informally”

*The American Mathematical Monthly, *vol.114, no. 10, December 2007, pp. 882–894.

Katherine Socha

“Circles in Circles: Creating a Mathematical Model of Surface Water Waves”

*The American Mathematical Monthly, *vol. 114, no. 3, March 2007, pp. 202–216.

2007

Andrew Granville and Greg Martin"Prime Number Races"

Jeffrey C. Lagarias

"Wild and Wooley Numbers"

*The American Mathematical Monthly*, v. 113, no.2, February 2006,
pp. 97-108.

Lluís Bibiloni, Jaume Paradís, and Pelegrí Viader

"On a Series of Golbach and Euler"

*The American Mathematical Monthly*, v. 113, no.3, March 2006,
pp. 206-220.

Harold P. Boas

"Reflections on the Arbelos"

*The American Mathematical Monthly*, v. 113, no.3, March 2006,
pp. 236-249.

Michael J. Mossinghoff

"A $1 Problem"

*The American Mathematical Monthly*, v. 113, no.5, May 2006,
pp. 385-402.

2006

Ibtesam Bajunaid, Joel M. Cohen, Flavia Colonna, and David Singman"Function Series, Catalan Numbers, and Random Walks on Trees"

William Dunham

"Touring the Calculus Gallery"

*The American Mathematical Monthly*, January 2005, pp. 1-19.

Edward B. Burger

"A Tail of Two Palindromes"

*The American Mathematical Monthly*, April 2005, pp. 311-321.

Karl Dilcher and Kenneth B. Stolarsky

"A Pascal-Type Triangle Characterizing Twin Primes"

*The American Mathematical Monthly*, October 2005, pp. 673-681.

Viktor Blåsjö

"The Evolution of the Isoperimetric Problem"

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

2005

Tom Apostol and Mamikon Mnatsakanian“Isoperimetric and Isoparametric Problems”

“Projective Geometry over 1 and the Gaussian Binomial Coefficents”

“Pascal Matrices”

“Lost in a Forest”

“Newton, Maclaurin, and the Authority of Mathematics”

2004

Noam Elkies “On the Sums”

Charles Livingston

“Enhanced Linking Numbers”

*The American Mathematical Monthly,*
May 2003, pp. 361-385.

R. Michael Range

“Complex Analysis: A Brief Tour into Higher Dimensions”

*The American Mathematical Monthly,*
February 2003, pp. 89-108.

Ruediger Thiele

“Hilbert’s Twenty-Fourth Problem”

*The American Mathematical Monthly*
January 2003, pp. 1-24.

2003

Leonard Gillman"Two Classical Surprises Concerning the Axiom of Choice and the Continuum Hypothesis,"

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"

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"

*Mathematical Monthly*,Vol. 108, October 2001, pp. 689-696

2001

Keith Kendig, "Is a 2000-Year-Old Formula Still Keeping Some Secrets?" E.R. Scheinerman, "When Close is Close Enough" *American Mathematical Monthly*, Vol. 107, No. 6, June 2000, pp. 489-499.

2000

P. J. McKenna, Large torsional oscillations in suspension bridges revisited: Fixing an old approximation, William Terrell, Some fundamental control theory I: Controllability, observability, and duality and Some fundamental
control Theory II: Feedback linearization of single input nonlinear systems, *Amer. Math. Monthly *106 (1999) 705-719
and 812-828.

Vilmos Totik, A tale of two integrals, *Amer. Math. Monthly* 106 (1999) 227-240.

1999

Yoav Benyamini, Applications of the universal surjectivity of the
Cantor set, Jerry L. Kazdan, Solving equations, an elegant legacy, *Amer. Math. Monthly* 105 (1998) 1-21.

Bernd Sturmfels, Polynomial equations and convex polytopes, *Amer. Math. Monthly* 105 (1998) 907-922.

1998

S. C. Coutinho, The many avatars of a simple algebra, Judith V. Grabiner, Was Newton's calculus a dead end? The
continental influence of Maclaurin's Treatise of Fluxions, *Amer.
Math. Monthly* 104
(1997), 393-410.

Bruce Pourciau, Reading the Masters: Newton and the birth of
celestial mechanics, *Amer. Math. Monthly* 104 (1997), 1-19.

1997

Robert G. Bartle, Return to the Riemann integral, A. F. Beardon, Sums of powers of integers, *Amer. Math. Monthly* 103 (1996), 201-213.

John Brillhart and Patrick Morton, A case study in mathematical research: The Golay-Rudin-Shapiro Sequence, *Amer. Math. Monthly* 103 (1996), 854-869.

1996

Martin Aigner, Turan's Graph Theorem, Sheldon Axler, Down with determinants!, *Amer. Math. Monthly* 102 (1995), 139-154.

John Oprea, Geometry and the Foucault Pendulum, *Amer. Math. Monthly* 102 (1995), 515-522.

1995

Fernando Q. Gouvea, A marvelous proof, Robert Gray, Georg Cantor and transcendental numbers, *Amer. Math. Monthly* 101
(1994), 819-832.

Jonathan L. King, Three problems in search of a measure, *Amer. Math. Monthly* 101
(1994), 609-628.

I. Kleiner and N. Movshovitz-Hadar, The role of paradoxes in the
evolution of mathematics, *Amer. Math. Monthly* 102 (1994), 963-974.

William C. Waterhouse, A counterexample for Germain, *Amer. Math. Monthly* 101 (1994), 140-150.

1994

Bruce C. Berndt and S. Bhargava, Ramanujan--for lowbrows, Edgar R. Lorch (Reuben Hersh, editor), Szeged in 1934, *Amer. Math. Monthly* 100 (1993), 219-230.

Leonard Gillman, An axiomatic approach to the integral, *Amer. Math. Monthly* 100 (1993), 16-25.

Joseph H. Silverman, Taxicabs and sums of two cubes, *Amer. Math. Monthly* 100 (1993), 331-340.

Dan Velleman and Istvan Szalkai, Versatile coins, *Amer. Math. Monthly 100 (1993)*, 26-33.

1993

Carsten Thomassen, The Jordan-Schoenflies Theorem and the classification
of surfaces, Don Knuth, Two notes on notation, *Amer. Math. Monthly* 99 (1992), 403-422.

1992

Clement W.H. Lam, The search for a finite projective plane of order 10, 1991

Marcel Y. Berger, Convexity, Ronald Graham and Frances Yao, A whirlwind tour of computational geometry, *Amer. Math. Monthly* 97 (1990), 687-701.

Joyce Justicz, Edward R. Scheinerman, and Peter Winkler, Random intervals, *Amer. Math. Monthly* 97 (1990), 881-889.

1990

Jacob Goodman, Janos Pach and Chee K. Yap, Mountain climbing, ladder moving, and the ring-width of a polygon, Doron Zeilberger, Kathy O'Hara's constructive proof of the unimodality of the Gaussian polynomials, *Amer. Math. Monthly* 96 (1989), 590-602.

1989

Gert Almkvist and Bruce Berndt, Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, pi and the Richard K. Guy, The strong law of small numbers, *Amer. Math. Monthly* 95 (1988), 697-712.

1988

James Epperson, On the Runge example, Stan Wagon, Fourteen proofs of a result about tiling a rectangle, *Amer. Math. Monthly* 94 (1987), 601-617.

1987

Stuart S. Antman, Book Review of Joan Cleary, Sidney Morris and David Yost, Numerical geometry - numbers for shapes, *Amer. Math. Monthly* 93 (1986), 260-275.

Howard Hiller, Crystallography and cohomology of groups, *Amer. Math. Monthly* 93 (1986), 765-779.

Jacob Korevaar, Bieberbach's conjecture and its proof by Louis de Branges, *Amer. Math. Monthly* 93 (1986), 505-514.

Peter M. Neumann, Book Review of * Galois Theory* by Harold M. Edwards, *Amer. Math. Monthly* 93 (1986), 407-411.

1986

Jeffrey C. Lagarias, The 3Michael E. Taylor, Book Review of *The Analysis of Linear Partial Differential Operators, Vols I & II* by Lars Hö,*Amer. Math. Monthly* 92 (1985), 745-749.

1985

John D. Dixon, Factorization and primality tests, Donald G. Saari and John B. Urenko, Newton's method, circle maps, and chaotic motion, *Amer. Math. Monthly* 91 (1984), 3-17.

1984

Judith Grabiner, Who gave you the epsilon? Cauchy and the origins of rigorous calculus, Roger Howe, Very basic Lie theory, *Amer. Math. Monthly* 90 (1983), 600-623.

John Milnor, On the geometry of the Kepler problem, *Amer. Math. Monthly* 90 (1983), 353-365.

Joel Spencer, Large numbers and unprovable theorems, *Amer. Math. Monthly* 90 (1983), 365-366.

William C. Waterhouse, Do symmetric problems have symmetric solutions?, *Amer. Math. Monthly* 90 (1983), 378-387.

1983

Robert F. Brown, The Fixed Point Property and Cartesian Products, Tony Rothman, Genius and Biographers: The Fictionalization of Evariste Galois, *Amer. Math. Monthly* 89 (1982), 84-106.

Robert S. Strichartz, Radon inversion - variations on a theme, *Amer. Math. Monthly* 89 (1982) 377-384 and 420-423.

1982

Philip Davis, Are there coincidences in mathematics?, R. Arthur Knoebel, Exponentials reiterated, *Amer. Math. Monthly* 88 (1981), 235-252.

1981

R. Creighton Buck, Sherlock Holmes in Babylon, Bruce H. Pourciau, Modern multiplier rules, *Amer. Math. Monthly* 87 (1980), 433-452.

Alan H. Schoenfeld, Teaching problem-solving skills, *Amer. Math. Monthly* 87 (1980), 794-805.

Edward R. Swart, The philosophical implications of the four-color problem, *Amer. Math. Monthly* 87 (1980), 697-707.

Lawrence A. Zalcman, Offbeat integral geometry, *Amer. Math. Monthly* 87 (1980), 161-175.

1980

Desmond Fearnley-Sander, Hermann Grassmann and the creation of linear algebra, David Gale, The game of Hex and the Brouwer fixed-point theorem, *Amer. Math. Monthly* 86 (1979), 818-827.

Karel Hrbacek, Nonstandard set theory, *Amer. Math. Monthly* 86 (1979), 659-677.

Cathleen S. Morawetz, Nonlinear conservation equations, *Amer. Math. Monthly* 86 (1979), 284-287.

Robert Osserman, Bonnesen-style isoperimetric inequalities, *Amer. Math. Monthly* 86 (1979), 1-29.

1979

Bradley Efron, Controversies in the foundations of statistics, Ned Glick, Breaking records and breaking boards, *Amer. Math. Monthly* 85 (1978), 2-26.

Kenneth I. Gross, On the evolution of noncommutative harmonic analysis, *Amer. Math. Monthly* 85 (1978),525-548.

Joseph B. Kruskal and Lawrence A. Shepp, Computerized tomography: the new medical x-ray technology, *Amer. Math. Monthly* 85 (1978), 420-439.

1978

Ralph P. Boas, Partial sums of infinite series, and how they grow, Louis H. Kauffman and Thomas F. Banchoff, Immersions and Mod-2 quadratic forms, *Amer. Math. Monthly* 84 (1977), 168-185.

Neil J.A. Sloane, Error correcting codes and invariant theory: new applications of a 19th century technique, *Amer. Math. Monthly* 84 (1977), 82-107.

1977

Shreeram Abhyankar, Historical ramblings in algebraic geometry and related algebra, Joseph B. Keller, Inverse problems, *Amer. Math. Monthly* 83 (1976), 107-118.

Donald S. Passman, What is a group ring?, *Amer. Math. Monthly* 83 (1976), 173-185.

Douglas Wiens, Hideo Wada, Daihachiro Sato and James P. Jones, Diophantine representation of the set of prime numbers, *Amer. Math. Monthly* 83 (1976), 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, *Amer. Math. Monthly* 83 (1976), 503-516.

1976

Michel L. Balinski and H.P. Young, The quota method of apportionment, Edward A. Bender and J.R. Goldman, On the applications of Mö inversion in combinatorial analysis, *Amer. Math. Monthly* 82 (1975), 789-803.

Branko Grü, Venn diagrams and independent families of sets, *Amer. Math. Monthly* 82 (1975), 12-23.

James E. Humphreys, Representations of SL (2,p), *Amer. Math. Monthly* 82 (1975), 21-39.

Joseph B. Keller and David W. McLaughlin, The Feynman integral, *Amer. Math. Monthly* 82 (1975), 451-465.

Justin J. Price, Topics in orthogonal functions, *Amer. Math. Monthly* 82 (1975), 594-609.

1975

Raymond Ayoub, Euler and the zeta function, J. Callahan, Singularities and plane maps, *Amer. Math. Monthly* 81 (1974), 211-240.

Donald E. Knuth, Computer science and its relation to mathematics, *Amer. Math. Monthly* 81 (1974), 323-343.

Johannes C.C. Nitsche, Plateau's problems and their modern ramifications, *Amer. Math. Monthly* 81 (1974), 945-968.

Sherman K. Stein, Algebraic tiling, *Amer. Math. Monthly* 81 (1974), 445-462.

Lawrence Zalcman, Real proofs of complex theorems (and vice versa), *Amer. Math. Monthly* 81 (1974), 115-137.

1974

Patrick Billingsley, Prime numbers and Brownian motion, Garrett Birkhoff, Current trends in algebra, *Amer. Math. Monthly* 80 (1973), 760-782.

Martin D. Davis, Hilbert's tenth problem is unsolvable, *Amer. Math. Monthly* 80 (1973), 233-269.

I.J. Schoenberg, The elementary cases of Landau's problem of inequalities between derivatives, *Amer. Math. Monthly* 80 (1973), 121-158.

Lynn A. Steen, Highlights in the history of spectral theory, *Amer. Math. Monthly* 80 (1973), 359-381.

R.J. Wilson, An introduction to matroid theory, *Amer. Math. Monthly* 80 (1973), 500-525.

1973

Jean A. Dieudonné, The historical development of algebraic geometry, Samuel Karlin, Some mathematical models of population genetics, *Amer. Math. Monthly* 79 (1972), 699-739.

Peter D. Lax, The formation and decay of shock waves, *Amer. Math. Monthly* 79 (1972), 227-241.

Thomas L. Saaty, Thirteen colorful variations on Guthrie's four-color conjecture, *Amer. Math. Monthly* 79 (1972) 2-43.

Lynn A. Steen, Conjectures and counterexamples in metrization theory, *Amer. Math. Monthly* 79 (1972), 113-132.

R.L. Wilder, History in the mathematics curriculum: Its status, equality, and function, *Amer. Math. Monthly* 79 (1972), 479-495.

1972

Gulbank D. Chakerian and Lester H. Lange, Geometric extremum problems, Paul M. Cohn, Rings of fractions, *Amer. Math. Monthly* 78 (1971), 596-615.

Frederick Cunningham, Jr., The Kakeya problem for simply connected and for star-shaped Sets, *Amer. Math. Monthly* 78 (1971), 114-129.

W.J. Ellison, Waring's problem, *Amer. Math. Monthly* 78 (1971) 10-36.

Leon Henkin, Mathematical foundations for mathematics, *Amer. Math. Monthly* 78 (1971), 463-487.

Victor Klee, What is a convex set?, *Amer. Math. Monthly* 78 (1971), 616-631.

1971

Jean A. Dieudonné, The work of Nicholas Bourbaki, George Forsythe, Pitfalls in computation, or why a math book isn't enough, *Amer. Math. Monthly* 77 (1970), 931-956.

Paul R. Halmos, Finite-dimensional Hilbert spaces, *Amer. Math. Monthly* 77 (1970), 457-464.

Eric Langford, A problem in geometric probability, *Math. Mag.* 43 (1970), 237-244.

Peter V. O'Neil, Ulam's conjecture and graph reconstructions, *Amer. Math. Monthly* 77 (1970), 35-43.

Olga Taussky, Sums of squares, *Amer. Math. Monthly* 77 (1970), 805-830.

1970

Henry L. Alder, Partition identities - from Euler to the present, Ralph P. Boas, Inequalities for the derivatives of polynomials, *Math. Mag.* 42 (1969), 165-174.

William A. Coppel, J.B. Fourier - on the occasion of his two hundredth birthday, *Amer. Math. Monthly* 76 (1969), 468-483.

Norman Levinson, A motivated account of an elementary proof of the prime number theorem, *Amer. Math. Monthly* 76 (1969), 225-245.

John Milnor, A problem in cartography, *Amer. Math. Monthly* 76 (1969), 1101-1112.

Ivan Niven, Formal power series, *Amer. Math. Monthly* 76 (1969), 871-889.

1969

Harley Flanders, A proof of Minkowski's inequality for convex curves, George Forsythe, What to do till the computer scientist comes, *Amer. Math. Monthly* 75 (1968), 454-462.

Marcel F. Neuts, Are many 1-1 functions on the positive integers onto?, *Math. Mag.* 41 (1968), 103-109.

Pierre Samuel, Unique Factorization, *Amer. Math. Monthly* 75 (1968), 945-952.

Hassler Whitney, The mathematics of physical quantities, *Amer. Math. Monthly* 75 (1968), 115-138, 227-256.

Albert Wilansky, Spectral decomposition of matrices for high school students, *Math. Mag.* 41 (1968), 51-59.

1968

Frederick Cunningham, Jr., Taking limits under the integral sign, W.F. Newns, Functional Dependence, *Amer. Math. Monthly* 74 (1967), 911-920.

Daniel Pedoe, On a theorem in Geometry, *Amer. Math. Monthly* 74 (1967), 627-640.

Keith L. Phillips, The maximal theorems of Hardy and Littlewood, *Amer. Math. Monthly* 74 (1967), 648-660.

F.V. Waugh and Margaret W. Maxfield, Side-and-Diagonal numbers, *Math. Mag.* 40 (1967), 74-83.

Hans J. Zassenhaus, On the fundamental theorem of algebra, *Amer. Math. Monthly* 74 (1967),
485-497.

1967

Wai-Kai Chen, Boolean matrices and switching nets, D.R. Fulkerson, Flow networks and combinatorial operations research, *Amer. Math. Monthly* 73 (1966), 115-138.

Mark Kac, Can one hear the shape of a drum?, *Amer. Math. Monthly* 73 (1966), Part II, 1-23.

M. Zuhair Nashed, Some remarks on variations and differentials, *Amer. Math. Monthly* 73 (1966), Part II, 63-76.

Paul B. Yale, Automorphisms of the complex numbers, *Math. Mag.* 39 (1966), 135-141.

1966

Carl B. Allendoerfer, Generalizations of theorems
about triangles, Peter D. Lax, Numerical solutions of partial differential equations, *Amer. Math. Monthly* 72 (1965), Part II, 78-84.

Marvin Marcus and Henry Minc, Permanents, *Amer. Math. Monthly* 72 (1965), 577-591.

1965

R. H. Bing, Spheres in E3, Louis Brand, A division algebra for sequences and its associated operational calculus, *Amer. Math. Monthly* 71 (1964) 719-728.

Robert G. Kuller, Coin tossing, probability, and the Weierstrass approximation theorem, *Math. Mag.* 37 (1964), 262-267.

R. Duncan Luce, The mathematics used in mathematical psychology, *Amer. Math. Monthly* 71 (1964), 364-378.

Hartley Rogers, Jr., Information theory, *Math. Mag.* 37 (1964), 63-78.

Elmer Tolsted, An elementrary derivation of Cauchy, Holder, and Minkowski inequalities from Young's Inequality, *Math. Mag.* 37 (1964), 2-12.