Journal: The American Mathematical Monthly

Volume 114, Issue 9

761 -- 777Thomas Callaghan, Peter J. Mucha, Mason A. Porter. Random Walker Ranking for NCAA Division I-A Football
778 -- 792John Starrett. Solving Differential Equations by Symmetry Groups
793 -- 803Tomasz Bartnicki, Jaroslaw Grytczuk, Hal A. Kierstead, Xuding Zhu. The Map-Coloring Game
804 -- 809Hugh L. Montgomery, Ulrike M. A. Vorhauer. Biased Trigonometric Polynomials
809 -- 810Omer Adelman. $\sum \frac{1}{n}=\infty $: A Micro-Lesson on Probability and Symmetry
811 -- 812Benjamin A. Lotto. Stacked Groups
813 -- 818Brett A. Harrison. On the Reducibility of Cyclotomic Polynomials over Finite Fields
819 -- 834Marston Morse. Topology and Equilibria
835 -- 0Jonathan Sondow. Problem 11322
835 -- 0Jody M. Lockhart, William P. Wardlaw. Problem 11323
835 -- 0David Beckwith. Problem 11319
835 -- 0Christopher J. Hillar. Problem 11321
835 -- 0Donald E. Knuth. Problem 11320
836 -- 837Pál Péter Dályay, et al.. Periodic Composition: 11174
836 -- 0José Luis Díaz-Barrero, Pantelimon George Popescu. Problem 11326
836 -- 0Martin Kochanski. Problem 11324
836 -- 0Finbarr Holland, Jim Leahy. Problem 11325
837 -- 838Oleg Faynshteyn, Yan Loi Wong. Another Triangle Inequality: 11176
838 -- 0Dorin Marghidanu, Henry Ricardo. GM ≤ AM: 11177
838 -- 839Barthel Wayne Huff, Gregory Keselman. Another Urn and Balls Problem: 11191
839 -- 840Brett Stevens, Richard Stong. A Sudoku Solution from Orthogonal Latin Squares: 11192
840 -- 841Christopher J. Hillar, John H. Lindsey II, Robin Chapman. The Trace of the Sum of All Products of Two Matrices: 11204
840 -- 0Fuxiang Yu. An Old Fermatian Problem: 11203
842 -- 0Li Zhou, Chris Mackeprang, Kellen Myers. Coloring Graphs on Sponges: 11208
843 -- 848Edward Nelson. 18 Unconventional Essays on the Nature of Mathematics by Reuben Hersh

Volume 114, Issue 8

665 -- 676David Benko. A New Approach to Hilbert's Third Problem
677 -- 687John H. Jaroma, Kamaliya N. Reddy. Classical and Alternative Approaches to the Mersenne and Fermat Numbers
688 -- 702Gábor J. Székely, Maria L. Rizzo. The Uncertainty Principle of Game Theory
703 -- 713Harm Derksen, Christian Eggermont, Arno van den Essen. Multimagic Squares
714 -- 724Leonard F. Klosinski, Gerald L. Alexanderson, Loren C. Larson. The Sixty-Seventh William Lowell Putnam Mathematical Competition
725 -- 727Peter D. Lax. The Cauchy Integral Theorem
727 -- 732Folkmar Bornemann, Thomas Schmelzer. Taming a Hydra of Singularities
732 -- 736M. Ram Murty, Nithum Thain. Pick's Theorem via Minkowski's Theorem
737 -- 743Fernando Albiac, Nigel J. Kalton. A Characterization of Real C(K)-Spaces
744 -- 0M. Farrokhi. Problem 11315
744 -- 0Cezar Lupu, Tudorel Lupu. Problem 11313
744 -- 0Yakub N. Aliyev. Problem 11314
744 -- 0David Callan. Problem 11312
745 -- 0Roman Witula, Damian Slota. Problem 11318
745 -- 0Ovidiu Furdui. Problem 11316
745 -- 746R. V. Heath, Christian Boyer. Better Late than Never: E 496
745 -- 0Michel Bataille. Problem 11317
746 -- 747Folkmar Bornemann, Robert B. Israel. A Disguised Radius of Convergence: 11194
747 -- 748Oleg Faynshteyn, Arkady Alt. A Crux Inequality: 11197
748 -- 749Joel Zinn, O. P. Lossers. Kronecker-Like Convergence: 11200
749 -- 750Mihály Bencze, Heinz-Jürgen Seiffert. More A-G Inequalities: 11211
749 -- 0Michael S. Becker, Zuofeng Shang. Cosine Infinite Product: 11210
750 -- 0José Luis Díaz-Barrero, Eugene A. Herman. Limit of an Integral: 11225
751 -- 0Ovidiu Furdui, Michael Avidon. A Gamma Limit: 11229
752 -- 758Warren P. Johnson. Mathematics and Social Utopias in France: Olinde Rodrigues and His times by Simon Altmann; Eduardo L. Ortiz

Volume 114, Issue 7

565 -- 576Enrique A. González-Velasco. James Gregory's Calculus in the "Geometriœ Pars Universalis"
577 -- 587Roman Dwilewicz, Ján Minác, Andrew Schultz, John Swallow. Hilbert 90 for Biquadratic Extensions
588 -- 601Arno Berger, Theodore P. Hill. Newton's Method Obeys Benford's Law
602 -- 609Jin Akiyama. Tile-Makers and Semi-Tile-Makers
610 -- 622Byron L. Walden, Lesley A. Ward. A Harmonic Measure Interpretation of the Arithmetic-Geometric Mean
623 -- 628Carlos A. Escudero, Agustí Reventós. An Interesting Property of the Evolute
628 -- 632Jack Cook, Jonathan Lovett, Frank Morgan. Rotation in a Normed Plane
633 -- 639Arjeh M. Cohen, D. E. Taylor. On a Certain Lie Algebra Defined by a Finite Group
640 -- 0David Callan. Problem 11307
640 -- 0Alexandru Rosoiu. Problem 11306
640 -- 0Ovidiu Furdui. Problem 11308
640 -- 0Roman Witula, Damian Slota. Problem 11309
640 -- 0Vahan Mkrtchyan. Problem 11305
641 -- 0Stephen J. Herschkorn. Problem 11311
641 -- 0Erwin Just. Problem 11310
641 -- 642William Calbeck, Richard Stong. Another Diophantine Equation: 11175
642 -- 643Angelo J. Christino Jr., William C. Waterhouse, et al.. A Group of Invertible Matrices: 11186
642 -- 0M. N. Deshpande, et al.. An Urn Problem with Labeled and Unlabeled Balls: 11181
643 -- 645David Bailey, M. L. Glasser, Richard Stong. A Hypergeometric Identity: 11188
645 -- 647José Luis Díaz-Barrero, Julien Grivaux. A Polynomial and Its Zeros: 11190
645 -- 0Lajos Csete, O. P. Lossers. A Quick Inequality: 11189
647 -- 0Marian Tetiva. A Cyclic AM-GM Inequality: 11193
648 -- 649Marian Tetiva, Pál Péter Dályay. Ratio Circum-to-In-Radius: 11195
649 -- 0Aliyev Yakub, David B. Leep. Symmetric Inequality: 11199
649 -- 0R. A. Strubel, Donald R. Bridges. A Zeta Function Quickie: 11219
650 -- 653Stephen A. Fulling. Linearity, Symmetry, and Prediction in the Hydrogen Atom by Stephanie Frank Singer
654 -- 661James Fey, Eric Hart, Christian Hirsch, Harold Schoen, Ann E. Watkins, Daniel J. Velleman. Editor's Endnotes

Volume 114, Issue 6

469 -- 490Brian S. Thomson. Rethinking the Elementary Real Analysis Course
491 -- 499Andrew J. Hetzel, Jay S. Liew, Kent E. Morrison. The Probability That a Matrix of Integers Is Diagonalizable
500 -- 508Brody Dylan Johnson. The Nonholonomy of the Rolling Sphere
509 -- 528Dierk Schleicher. Hausdorff Dimension, Its Properties, and Its Surprises
529 -- 531Ling-Ling Shi, Hao Pan. A q-Analogue of Wolstenholme's Harmonic Series Congruence
532 -- 536Jürgen Bliedtner, Peter A. Loeb. A Local Maximal Function Simplifying Measure Differentiation
536 -- 540Boris Adamczewski, Yann Bugeaud. A Short Proof of the Transcendence of Thue-Morse Continued Fractions
540 -- 546Joseph Bak, Pisheng Ding, Donald Newman. Extremal Points, Critical Points, and Saddle Points of Analytic Functions
547 -- 0Pablo Fernàndez Refolio. Problem 11299
547 -- 0Finbarr Holland. Problem 11301
547 -- 0Jakob Jonsson. Problem 11298
547 -- 0Ulrich Abel. Problem 11300
547 -- 0Horst Alzer. Problem 11302
548 -- 549M. N. Deshpande, J. P. Shiwalkar, et al.. Two Heads Are Better than One: 11173
548 -- 0M. Farrokhi. Problem 11303
548 -- 0Teodora-Liliana Radulescu. Problem 11304
549 -- 550Jon Louis Bentley, Colin Mallows, Richard Stong. Learning from Experience: 11178
550 -- 551Shahin Amrahov, Nicholas Singer. Perfect Powers in an Arithmetic Progression: 11182
550 -- 0David Beckwith, Li Zhou. A Determinant by Möbius Inversion: 11179
551 -- 552David Beckwith, Vadim Ponomarenko, Rob Pratt. Building Two Piles of Equal Height: 11183
552 -- 554Rainer Brück, Robin Chapman. When Does It Converge: 11185
554 -- 556Li Zhou, Christopher Carl Heckman, Jerry Minkus, et al.. Tiling 4-Rowed Rectangles with Dominoes: 11187
557 -- 561Susan Jane Colley. Introduction to Plane Algebraic Curves by Ernst Kunz; Richard G. Belshoff

Volume 114, Issue 5

373 -- 387Yuval Peres, Oded Schramm, Scott Sheffield, David Bruce Wilson. Random-Turn Hex and Other Selection Games
388 -- 416Tom M. Apostol, Mamikon A. Mnatsakanian. Unwrapping Curves from Cylinders and Cones
417 -- 431Graham Everest, Shaun Stevens, Duncan Tamsett, Tom Ward. Primes Generated by Recurrence Sequences
432 -- 437J. W. Neuberger. The Continuous Newton's Method, Inverse Functions, and Nash-Moser
437 -- 440Anthony Mendes. A Note on Alternating Permutations
441 -- 443Michael Kerckhove, Gary Lawlor. The Circle and the Cycloid: A Surprising Link
444 -- 450Jack Ohm. A Matrix Approach to Zero-Divisors in R[x]
451 -- 0Sergey Sadov. Problem 11293
451 -- 0Richard Jerrard, John E. Wetzel. Problem 11291
451 -- 0David Callan. Problem 11292
452 -- 0Stefano Siboni. Problem 11295
452 -- 0Marian Tetiva. Problem 11297
452 -- 453Bogdan Nica, Saïd Amghibech. Similarities of Euclidean Space: 11124
452 -- 0Saïd Amghibech. Problem 11296
452 -- 0John Zucker, Ross C. McPhedran. Problem 11294
453 -- 0Alexander Dubinov, Irina Dubinova. Closed Form Closure: 11143
453 -- 454David Beckwith, Harris Kwong. Prime Powers Dividing a Factorial: 11158
454 -- 455Yogesh More, Robin Chapman. The Sum of Catalan Numbers, Modulo 3: 11165
454 -- 0Marc Chamberland, C. R. Pranesachar. Fermat to the Rescue: 11160
455 -- 456Kent Holing, et al.. Properties of Pythagorean Triples: 11168
456 -- 457Emeric Deutsch, Stephen C. Locke. Dissecting a Polygon: 11170
457 -- 458Heinz-Jürgen Seiffert. Familiar Identities in Disguise: 11172
459 -- 461David M. Bressoud. Making Transcendence Transparent by B. Burger; Robert Tubbs
461 -- 464Mark Schwartz. Conics by Keith Kendig

Volume 114, Issue 4

273 -- 285Alberto A. Martínez. Euler's "Mistake"? The Radical Product Rule in Historical Perspective
286 -- 296Christopher Francese, David Richeson. The Flaw in Euler's Proof of His Polyhedral Formula
297 -- 315Gopala Krishna Srinivasan. The Gamma Function: An Eclectic Tour
316 -- 328Bennett Chow, David Glickenstein. Semidiscrete Geometric Flows of Polygons
329 -- 337Colin Adams, Frank Morgan, John M. Sullivan. When Soap Bubbles Collide
338 -- 341Arthur T. Benjamin, Gregory P. Dresden. A Combinatorial Proof of Vandermonde's Determinant
341 -- 343Michael A. Allen. Evaluation of Some Improper Integrals Involving Hyperbolic Functions
344 -- 350Robin Pemantle, Carsten Schneider. When Is 0.999... Equal to 1?
351 -- 356Brendan Foreman. Ghys's Theorem and Semi-Osculating Conics of Planar Curves
356 -- 357Gilbert Helmberg. An Absolutely Continuous Function in L1 (R) W1, 1 (R)
358 -- 0Yakub N. Aliyev. Problem 11285
358 -- 0Greg Oman. Problem 11284
358 -- 0Marc LeBrun, David Applegate, N. J. A. Sloane. Problem 11286
359 -- 0Stephen J. Herschkorn. Problem 11287
359 -- 360Jonathan Sondow, Richard Stong. Choice Bounds: 11132
359 -- 0Cezar Lupu, Tudorel Lupu. Problem 11290
359 -- 0Oleh Faynshteyn. Problem 11289
359 -- 0Christopher J. Hillar, Troels Windfeldt. Problem 11288
360 -- 361Paul Bracken, Heinz-Jürgen Seiffert. An Integral Inequality: 11133
361 -- 362Donald E. Knuth, Roberto Tauraso. A Combinatorial Maximum: 11142
362 -- 0Richard Stanley, et al.. Inverting a Matrix of Striling Numbers: 11156
363 -- 0Emeric Deutsch, et al.. Compositions without Common Factors: 11161
363 -- 364Michel Bataille, Richard Stong. Counting Lattice Quadrilaterals Tangent to an Ellipse: 11163
364 -- 365José Luis Díaz-Barrero, Ulrich Abel, Mircea Ivan. A Recurrent Identify: 11164
366 -- 370John P. D'Angelo. Geometric Function Theory: Explorations in Complex Analysis by Steven G. Krantz

Volume 114, Issue 3

181 -- 182Amy Cohen-Corwin. Yueh-Gin Gung and Dr. Charles Y. Hu Award to Lee Lorch for Distinguished Service to Mathematics
183 -- 201Robyn Curtis, Marcel Steiner. Configuration Spaces of Planar Pentagons
202 -- 216Katherine Socha. Circles in Circles: Creating a Mathematical Model of Surface Water Waves
217 -- 231Anders Claesson, T. Kyle Petersen. Conway's Napkin Problem
232 -- 241Dante Manna, Victor H. Moll. A Simple Example of a New Class of Landen Transformation
242 -- 246Michael W. Botsko. Exactly Which Bounded Darboux Functions Are Derivatives?
246 -- 251Mark Levi. Riemann Mapping Theorem by Steepest Descent
251 -- 256David H. Armitage. Entire Functions That Tend to Zero on Every Line
256 -- 258Mark A. Pinsky. Stirling's Formula via the Poisson Distribution
259 -- 0Harris Kwong. Problem 11280
259 -- 0Max Alekseyev, Emeric Deutsch. Problem 11281
259 -- 0Slavko Simic. Problem 11278
259 -- 0Prithwijit De. Problem 11277
259 -- 0Vitaly Stakhovsky. Problem 11279
260 -- 0John Abbot, Umberto Zannier. Problem 11283
260 -- 0Dragomir Z. Dkovic, Kaiming Zhao. Problem 11282
260 -- 261Stephen B. Gray, Thomas McMillan, Xiaoshen Wang. Stepping to Regularity: 10923
261 -- 262Kent D. Boklan, Michael Avidon. Heronian Triangles: 11134
262 -- 264Ernst Schulte-Geers, Karl David. An Identity Involving Rooted Forest: 11144
264 -- 265Emeric Deutsch, O. P. Lossers. Peaks in Dyck Paths: 11150
264 -- 0Yongge Tian, Eugene A. Herman. Matrix Systems with the Same Sets: 11146
265 -- 266Donald E. Knuth, O. P. Lossers. Partitions of a Circular Set: 11151
266 -- 0Kent Holing, Michael Avidon. Indivisibility of the Sum of Squares: 11154
267 -- 271John Stillwell. God Created the Integers by Stephen Hawking

Volume 114, Issue 2

97 -- 141Richard K. Guy. The Lighthouse Theorem, Morley & Malfatti: A Budget of Paradoxes
142 -- 151Po-Ru Loh. Stepping to Infinity Along Gaussian Primes
152 -- 155Bau-Sen Du. A Simple Proof of Sharkovsky's Theorem Revisited
156 -- 159Gwen Spencer, Francis Edward Su. The LSB Theorem Implies the KKM Lemma
160 -- 163Sam B. Nadler Jr., Donna M. Zitney. Pointwise Products of Uniformly Continuous Functions on Sets in the Real Line
164 -- 0Iliya Bluskov. Problem 11271
164 -- 0Vasile Mihai. Problem 11272
164 -- 165Marian Tetiva. Problem 11273
165 -- 0Donald E. Knuth. Problem 11274
165 -- 0Michael S. Becker. Problem 11275
165 -- 0Eugene A. Herman. Problem 11276
165 -- 166Vicentiu Radulescu, Richard Stong. Exponential Growth of a Solution: 11137
167 -- 168Paolo Perfetti, et al.. Series with Sines: 11162
167 -- 0George Lamb, J. A. Grzesik. A Quadrature on a Sphere: 11159
168 -- 170Vicentiu Radulescu, et al.. Ginzburg-Landau Energy: 11167
170 -- 171Suat Namli, O. P. Lossers. A Functional Equation with Exponential Solutions: 11180
171 -- 0Grahame Bennett, Eugene A. Herman. Apply Hölder: 11202
172 -- 176Gerald B. Folland. Analysis I: Convergence, Elementary Functions by Roger Godement; Analysis II: Differential and Integral Calculus, Fourier Series, Holomorphic Functions by Roger Godement

Volume 114, Issue 10

0 -- 0. Volume Information
849 -- 870Charles Hadlock. Practicing Mathematics in the Public Arena: Challenges and Outcomes in Some Prominent Case Studies
871 -- 881Markku Halmetoja, Pentti Haukkanen, Teuvo Laurinolli, Jorma K. Merikoski, Timo Tossavainen, Ari Virtanen. On Direct and Inverse Proportionality
882 -- 894Thomas C. Hales. The Jordan Curve Theorem, Formally and Informally
895 -- 908Mark Levi, Serge Tabachnikov. The Poncelet Grid and Billiards in Ellipses
909 -- 914Alain Connes, Don Zagier. A Property of Parallelograms Inscribed in Ellipses
914 -- 917Johan Wästlund. An Elementary Proof of the Wallis Product Formula for pi
917 -- 923Christopher J. Hillar, Darren L. Rhea. Automorphisms of Finite Abelian Groups
923 -- 924António Guedes de Oliveira. On the Adjugate of a Matrix
925 -- 0Rick Mabry, Debbie Shepherd. Problem 11327
925 -- 0Tewodros Amdeberhan, Victor H. Moll. Problem 11329
925 -- 0Marian Tetiva. Problem 11330
925 -- 0Dmitris Vartziotis. Problem 11328
926 -- 927Chu Cheng, Marius Stefan. A Quadrilateral and Its Circles: 11171
926 -- 0Roberto Tauraso. Problem 11332
926 -- 0Pablo Fernández Refolio. Problem 11333
926 -- 0Richard Bagby. Problem 11331
928 -- 929Mircea Ivan, Alexandru Lupas, Richard A. Stong. A Limit Involving Euler's Constant: 11206
928 -- 0Wu Wei Chao, Pál Péter Dályay. A Triangle Inequality: 11205
929 -- 930Michael W. Botsko, Robert B. Israel. Disguised Cauchy Sequence: 11207
930 -- 931Alexander Dubinov, Irina Dubinova, Knut Dale. Can "Closed Form" Involve Lambert? 11209
931 -- 0Michel Bataille, Richard Stong. Finding the Greatest Lower Bound: 11217
932 -- 0Kent Holing. Unsolved No Longer: 11154
932 -- 0. Errata: 11307
932 -- 0Bogdan Nica. Reverse Engineering: 11124
933 -- 937Michael Henle. Divine Proportions: Rational Trigonometry to Universal Geometry by N. J. Wildberger

Volume 114, Issue 1

1 -- 13Peter Maier, Werner Nickel. Attainable Patterns in Alien Tiles
14 -- 28Tanya Leise, Andrew Cohen. Nonlinear Oscillators at Our Fingertips
29 -- 39Dave Auckly. Solving the Quartic with a Pencil
40 -- 57Donatella Merlini, Renzo Sprugnoli, M. Cecilia Verri. The Method of Coefficients
58 -- 60William F. Ford, James A. Pennline. When Does Convergence in the Mean Imply Uniform Convergence?
61 -- 66Sime Ungar. The Koch Curve: A Geometric Proof
66 -- 70Dong-Soo Kim, Young-Ho Kim. A Characterization of Ellipses
70 -- 76Jonathan M. Borwein. A Class of Dirichlet Series Integrals
77 -- 0Donald E. Knuth. Problem 11264
77 -- 0Steve Butler, Jia Mao. Problem 11265
77 -- 0Eugene A. Herman. Problem 11267
77 -- 0Marian Tetiva. Problem 11266
78 -- 79David Beckwith. An Accidental Repetition of the All-Ones Problem: 10851
78 -- 0M. L. Glasser. Problem 11268
78 -- 0Hervé Moulin. Problem 11269
78 -- 0Sergey Sadov. Problem 11270
79 -- 80Tom M. Apostol, et al.. Summing the Initial Inverted Powers: 11128
80 -- 81M. L. Glasser, Richard Stong. An Elementary Integral: 11148
81 -- 82Paul Bracken, Michael Goldenberg, Mark Kaplan. A Nonlinear Recurrence: 11153
81 -- 0Mircea Ivan, Ioan Rasa, M. A. Prasad. Limit with Nested Logs: 11149
82 -- 83Hillel Gauchman, et al.. Square Root Inequality: 11157
83 -- 84Mohammad Hossein Mehrabi, O. P. Lossers. A Gamma Function Inequality: 11169
83 -- 0Greg Oman, Michael W. Botsko. Isomorphic Rings of Functions: 11166
84 -- 0Slavko Simic, et al.. Maximum Real Part of a Zero of a Polynomial: 11184
85 -- 90Fernando Q. Gouvêa. A First Course in Modular Forms by Fred Diamond; Jerry Shurman
91 -- 0Daniel J. Velleman. Editor's Endnotes