User:Michael Hardy/Ford Award

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.

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

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.

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 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

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 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.

2004

 * Noam Elkies, "On the Sums $$\sum_{k=-\infty}^\infty (4k+1)^{-n} $$", 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 and 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, ln 2, 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.

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