Journal: The American Mathematical Monthly

Volume 116, Issue 9

763 -- 787Mike Paterson, Yuval Peres, Mikkel Thorup, Peter Winkler, Uri Zwick. Maximum Overhang
788 -- 803Persi Diaconis, Jason Fulman. Carries, Shuffling, and an Amazing Matrix
804 -- 827Luis Verde-Star. Rational Functions
828 -- 830Theo De Jong. Lagrange Multipliers and the Fundamental Theorem of Algebra
831 -- 835David M. Einstein, Christopher Carl Heckman, Timothy S. Norfolk. On Sara's Dove Bar Habit
836 -- 839Bakir Farhi. An Identity Involving the Least Common Multiple of Binomial Coefficients and Its Application
839 -- 843Valerio De Angelis. Stirling's Series Revisited
844 -- 0Nadezhda Alexandrova. Problem 11462
844 -- 0Cosmin Pohoata. Problem 11460
844 -- 0Panagiote Ligouras. Problem 11461
844 -- 0Xiang Qian Chang. Problem 11463
845 -- 846Richard Bagby, David Beckwith, Sag Harbor, Douglas B. Tyler. A Weighted Sample of the Riemann Zeta Function: 11331 [2007, 926]
845 -- 0Pantelimon George Popescu. Problem 11465
845 -- 0Yongge Tian. Problem 11466
845 -- 0David Beckwith. Problem 11464
846 -- 847Roberto Tauraso, Kenneth Schilling. Irrational Symmetry: 11332 [2007, 926]
847 -- 848Jonathan Bober, Jeffrey C. Lagarias, Byron Schmuland. Very Composite Numbers: 11334 [2008, 71]
847 -- 0Pablo Fernández Refolio, John B. Zacharias. Baking a Pi with Factorials: 11333 [2007, 926]
848 -- 849Donald E. Knuth, et al.. Near-deBruijn Cycles: 11336 [2008, 71]
849 -- 851Mihály Bencze, Julien Grivaux. More AGM Inequalities: 11347 [2008, 167]
852 -- 856Victor J. Katz. Mathematical Masterpieces: Further Chronicles by the Explorers by Arthur Knoebel; Reinhard Laubenbacher; Jerry Lodder; David Pengelley
857 -- 858Daniel J. Velleman. Editor's Endnotes

Volume 116, Issue 8

667 -- 687Zajj Daugherty, Alexander K. Eustis, Gregory Minton, Michael E. Orrison. Voting, the Symmetric Group, and Representation Theory
688 -- 701Steven V. Sam. A Bijective Proof for a Theorem of Ehrhart
702 -- 707J. Scott Provan. Sudoku: Strategy versus Structure
708 -- 718Michael A. Bukatin, Ralph Kopperman, Steve Matthews, Homeira Pajoohesh. Partial Metric Spaces
719 -- 726Leonard F. Klosinski, Gerald L. Alexanderson, Loren C. Larson. The Sixty-Ninth William Lowell Putnam Mathematical Competition
727 -- 732Ezra Brown, Nicholas A. Loehr. Why Is PSL(2, 7) ≅ GL(3, 2)?
732 -- 735David V. Feldman, Daniel A. Klain. Angles as Probabilities
735 -- 738Villo Csiszár. Jump Home and Shift: An Acyclic Operation on Permutations
738 -- 742Hojoo Lee. Ptolemy Meets Erdős and Mordell Again
743 -- 745Anca I. Bonciocat, Nicolae C. Bonciocat. On the Irreducibility of Polynomials with Leading Coefficient Divisible by a Large Prime Power
746 -- 0Michel Bataille. Problem 11449
746 -- 0Azer Kerimov. Problem 11454
746 -- 0Christian Blatter. Problem 11455
746 -- 0Richard Stanley. Problem 11453
747 -- 0Pál Péter Dályay. Problem 11459
747 -- 0Raymond Mortini. Problem 11456
747 -- 0M. L. Glasser. Problem 11457
747 -- 748Tewodros Amdeberhan, Victor H. Moll, Hongwei Chen. Two Log Gamma Integrals: 11329 [2007, 925]
747 -- 0Cezar Lupu. Problem 11458
748 -- 749Marian Tetiva, João Guerreiro. A New Lower Bound for the Sum of the Altitudes: 11330 [2007, 925]
749 -- 750Marian Tetiva, Peter Nüesch. A Bisector Inequality: 11337 [2008, 71]
750 -- 752Óscar Ciaurri, Luz Roncal, Nora Thornber. Raindrops Flying from a Spinning Umbrella: 11340 [2008, 72]
750 -- 0Ovidiu Furdui, O. P. Lossers. A Gamma Limit: 11338 [2008, 71]
752 -- 753Cezar Lupu, Marian Tetiva. An Application of Popovidu's Inequality: 11341 [2008, 166]
753 -- 0Roger Cuculière, Richard Stong. A Functional Equation: 11345 [2008, 166]
754 -- 758Judy A. Holdener. Review: Roots to Research: A Vertical Development of Mathematical Problems by Judith D. Sally; Paul J. Sally,

Volume 116, Issue 7

567 -- 587Nayandeep Deka Baruah, Bruce C. Berndt, Heng Huat Chan. Ramanujan's Series for 1/π: A Survey
588 -- 597Greg Martin, Erick B. Wong. Almost All Integer Matrices Have No Integer Eigenvalues
598 -- 611Tom M. Apostol, Mamikon A. Mnatsakanian. New Insight into Cycloidal Areas
612 -- 628Richard Kenyon, Peter Winkler. Branched Polymers
629 -- 630Shui-Hung Hou. On a Theorem of Abel
630 -- 635Jonathan Sondow. Ramanujan Primes and Bertrand's Postulate
635 -- 641Shawn Hedman, David Rose. Light Subsets of N with Dense Quotient Sets
641 -- 643Juan Sabia, Susana Tesauri. The Least Prime in Certain Arithmetic Progressions
643 -- 646Oliver Deiser. A Simple Continuous Bijection from Natural Sequences to Dyadic Sequences
647 -- 0Ovidiu Furdui, Campia Turzii. Problem 11447
647 -- 0Michel Bataille. Problem 11449
647 -- 0Cosmin Pohoata. Problem 11450
647 -- 0Christopher J. Hillar. Problem 11446
647 -- 0Wei-Dong Jiang. Problem 11448
648 -- 649Roman Witula, Damian Slota, et al.. An Iteration Convergence: 11318 [2007, 745]
648 -- 0Greg Oman. Problem 11451
648 -- 0Donald E. Knuth. Problem 11452
649 -- 650Christopher J. Hillar, Bruce S. Burdick, Roger Williams. Polynomials Not Associated with Symmetric Matrices: 11321 [2007, 835]
649 -- 0Donald E. Knuth, O. P. Lossers. Solving a Recurrence by Binary Expansion: 11320 [2007, 835]
650 -- 651Jody M. Lockhart, William P. Wardlaw, O. P. Lossers. On the Sum of Integer Powers of a Matrix: 11323 [2007, 835]
650 -- 0Jonathan Sondow, George Lamb Tucson. A Double Integral: 11322 [2007, 835]
651 -- 653Martin Kochanski, Richard Stong. Measuring the Growth Rate of a Bernoulli Polynomial: 11324 [2007, 836]
653 -- 654Finbarr Holland, Michael Vowe. A Triangle Inequality from 1953: 11325 [2007, 836]
654 -- 655José Luis Díaz-Barrero, Pál Péter Dályay. A Problem Rescued from Incorrectness: 11326 [2007, 836]
655 -- 656Rick Mabry, Debbie Shepherd, Kenneth Schilling. A Chancy Function: 11327 [2007, 925]
656 -- 0Dmitris Vartziotis, Michel Bataille. Van Aubel's Theorem: 11328 [2007, 925]
657 -- 664Neil Falkner. Review: Basic Real Analysis by Anthony W. Knapp; Advanced Real Analysis by Anthony W. Knapp

Volume 116, Issue 6

479 -- 495Alissa S. Crans, Thomas M. Fiore, Ramon Satyendra. Musical Actions of Dihedral Groups
496 -- 514Julius B. Barbanel, Steven J. Brams, Walter Stromquist. Cutting a Pie Is Not a Piece of Cake
515 -- 530Jack S. Calcut. Gaussian Integers and Arctangent Identities for π
531 -- 535Kevin Beanland, James W. Roberts, Craig Stevenson. Modifications of Thomae's Function and Differentiability
535 -- 538Ulrich Abel, Mircea Ivan. Over-Iterates of Bernstein's Operators: A Short and Elementary Proof
538 -- 541Paul Levrie, Walter Daems. Evaluating the Probability Integral Using Wallis's Product Formula for π
541 -- 546Gerald Kuba. Counting Fields of Complex Numbers
547 -- 548José Luis Díaz-Barrero, José Gibergans-Báguena. Problem 11442
547 -- 0Stephen Herschkorn. Problem 11439
547 -- 0Stefano Siboni. Problem 11440
547 -- 0Yakub N. Aliyev. Problem 11441
548 -- 0Marian Tetiva. Problem 11444
548 -- 549Donald E. Knuth, Julian L. Hook. Sums and Powers, Set Counting, and Coefficient Tracking: 11274 [2007, 165]
548 -- 0H. A. ShahAli. Problem 11445
548 -- 0Eugen J. Ionascu. Problem 11443
549 -- 550Dragomir Z. Dokovic, Richard Stong. A Unipotent Matrix: 11282 [2007, 260]
550 -- 551Vahan Mkrtchyan, Codrut Grosu. Disjoint Maximum-Sized Matchings: 11305 [2007, 640]
551 -- 552Erwin Just, Tom Kezlan. An Exponential Condition for Commutativity: 11310 [2007, 641]
552 -- 553David Callan, Marc Renault. Uniformly Distributed Valleys: 11312 [2007, 744]
553 -- 554Michel Bataille, John Cade. From Quadrilateral to Trapezoid: 11317 [2007, 745]
555 -- 562Branko Grünbaum. The Symmetries of Things by John H. Conway; Heidi Burgiel; Chaim Goodman-Strauss

Volume 116, Issue 5

387 -- 412Jonathan M. Borwein, Neil J. Calkin, Dante Manna. Euler-Boole Summation Revisited
413 -- 422Mira Bhargava. Groups as Unions of Proper Subgroups
423 -- 438Rick Mabry, Paul Deiermann. Of Cheese and Crust: A Proof of the Pizza Conjecture and Other Tasty Results
439 -- 446Nieves Alamo, Carlos Criado. Parallel Transport and Thomas-Wigner Rotation
447 -- 451Daniel Heath, I. M. Isaacs, John Kiltinen, Jessica Sklar. Symmetric and Alternating Groups Generated by a Full Cycle and Another Element
451 -- 455Michael J. Evans, Paul D. Humke. Revisiting a Century-Old Characterization of Baire Class One, Darboux Functions
456 -- 457Chris Bernhardt. A Proof of the Cayley-Hamilton Theorem
457 -- 462Peter Wagner. A New Constructive Proof of the Malgrange-Ehrenpreis Theorem
463 -- 0Slavko Simic. Problem 11434
463 -- 0Marian Tetiva. Problem 11432
463 -- 464Yakub N. Aliyev. Problem 11436
463 -- 0Marius Cavachi. Problem 11433
463 -- 0Panagiote Ligouras. Problem 11435
464 -- 0David H. Bailey. Problem 11438
464 -- 0Tamás Erdélyi. Problem 11437
464 -- 465Marian Tetiva, Byron Schmuland. A Sequence of Partitions into Sets with Equal Sum: 11273 [2007, 164]
465 -- 0Max A. Alekseyev, John Henry Steelman. Counting Permutations with Two Displacement Values: 11281 [2007, 259]
465 -- 466John Abbot, John Wilkinson. Irreducible Polynomials from a Theorem of Fermat: 11283 [2007, 260]
466 -- 467Marc LeBrun. Descending Dungeons: 11286 [2007, 358]
466 -- 0Greg Oman, Manuel Reyes. Rings That are Fields: 11284 [2007, 358]
468 -- 470David Callan, Robin Chapman. Divisibility of a Central Binomial Sum: 11292&11307 [2007, 451&640]
468 -- 0Christopher J. Hillar, Saïd Amghibech. A Polynomial Identity: 11288 [2007, 359]
470 -- 0M. Farrokhi, Tuomas Hytönen. The Prime Exponentiation of an Integer: 11315 [2007, 744]
471 -- 476Allen Holder. Understanding and Using Linear Programming by Jiří Matoušek; Bernd Gärtner; Introduction to Optimization by Pablo Pedregal

Volume 116, Issue 4

291 -- 304Michael F. Barnsley. Transformations between Self-Referential Sets
305 -- 315B. Ross Barmish, Nigel Boston. Risk and Return Considerations in "The Weakest Link"
316 -- 327Hajrudin Fejzic, Chris Freiling, Dan Rinne. Descartes' Rule of Signs, Alternations of Data Sets, and Balanced Differences
328 -- 341Douglas Drinen, Kathleen Grace Kennedy, William M. Priestley. An Optimization Problem with a Surprisingly Simple Solution
342 -- 350Ethan D. Bloch. A Simple Proof of a Generalized No Retraction Theorem
351 -- 355Bruce Solomon. Central Cross-Sections Make Surfaces of Revolution Quadric
355 -- 356Idris David Mercer. On Furstenberg's Proof of the Infinitude of Primes
356 -- 361Jerry J. Koliha. Mean, Meaner, and the Meanest Mean Value Theorem
362 -- 364Giedrius Alkauskas. A Curious Proof of Fermat's Little Theorem
365 -- 0Viorel Bandila. Problem 11427
365 -- 366Cezar Lupu. Problem 11429
365 -- 0Erwin Just. Problem 11425
365 -- 0Walter Blumberg. Problem 11428
365 -- 0M. L. Glasser. Problem 11426
366 -- 0Finbarr Holland, Stephen Wills. Problem 11431
366 -- 368Marian Tetiva, Robin Chapman. Partitioning Values of a Polynomial into Sets of Equal Sum: 11266 [2007, 77]
366 -- 0He Yi. Problem 11430
368 -- 369Sergey Sadov, Harris Kwong. The Determinant of a Spiral Matrix: 11270 [2007, 78]
369 -- 370Iliya Bluskov. Covering the Chessboard with Sets of Non-Attacking Queens: 11271 [2007, 164]
370 -- 371Sergey Sadov, Kim McInturff, Santa Barbara. Determinant of Another Spiral Matrix: 11293 [2007, 451]
371 -- 372Jakob Jonsson, Annie Carter, David Callan. Oddly Triangulated Polygons: 11298 [2007, 547]
372 -- 0M. Farrokhi, T. S. Michael. A Characterization of Permutation Matrices: 11303 [2007, 548]
373 -- 375James W. Vick. Review: Topology Now! by Robert Messer; Philip Straffin; Introduction to Topology: Pure and Applied by Colin Adams; Robert Franzosa
375 -- 377Kristopher Tapp. Review: Differential Geometry and Its Applications by John Oprea
378 -- 382Daniel J. Velleman. Editor's Endnotes

Volume 116, Issue 3

195 -- 196Barbara Faires. Yueh-Gin Gung and Dr. Charles Y. Hu Award for 2009 to Robert E. Megginson for Distinguished Service to Mathematics
197 -- 217Alan H. Schoenfeld. Working with Schools: The Story of a Mathematics Education Collaboration
218 -- 227Russell A. Gordon. Some Integrals Involving the Cantor Function
228 -- 237Jerzy Kocik, Andrzej Solecki. Disentangling a Triangle
238 -- 250Aaron Melman. Overshooting Properties of Newton-Like and Ostrowski-Like Methods
251 -- 260Serge Troubetzkoy. Dual Billiards, Fagnano Orbits, and Regular Polygons
261 -- 267Shirley Llamado Yap. The Poincaré Lemma and an Elementary Construction of Vector Potentials
268 -- 272Emmanuel Preissmann, Maurice Mischler. Seating Couples around the King's Table and a New Characterization of Prime Numbers
273 -- 275Amir Akbary, Zachary Friggstad. Superabundant Numbers and the Riemann Hypothesis
276 -- 0George Lamb. Problem 11418
276 -- 0Vasile Mihai. Problem 11419
277 -- 0Sergio Falcón, Ángel Plaza. Problem 11421
277 -- 0Emeric Deutsch. Problem 11424
277 -- 0Gregory Minton. Problem 11423
277 -- 278Donald E. Knuth, Richard Stong. Reversal by Swaps: 11264 [2007, 77]
277 -- 0Christopher J. Hillar. Problem 11422
277 -- 0Kent Holing. Problem 11420
279 -- 281Yakub N. Aliyev, Marian Tetiva. A Floor Equation: 11314 [2007, 744]
279 -- 0Cezar Lupu, Li Zhou. From Integral to Derivative: 11313 [2007, 744]
281 -- 283Ovidiu Furdui, et al.. Convergence of an Improper Integral with Three Parameters: 11316 [2007, 745]
283 -- 0David Beckwith, et al.. Sum of Digits: 11319 [2008, 835]
284 -- 288Philip D. Straffin. Mr. Hopkins' Men: Cambridge Reform and British Mathematics in the 19th Century by Alex D. D. Craik

Volume 116, Issue 2

99 -- 114Thomas L. Bartlow, David E. Zitarelli. Who Was Miss Mullikin?
115 -- 133Tom M. Apostol, Mamikon A. Mnatsakanian. A New Look at the So-Called Trammel of Archimedes
134 -- 142Frank Morgan. Manifolds with Density and Perelman's Proof of the Poincaré Conjecture
143 -- 150Joseph Bak, Pisheng Ding. Shape Distortion by Analytic Functions
151 -- 165Christian Haase, Josef Schicho. Lattice Polygons and the Number 2i + 7
166 -- 172Stephen K. Lucas. Approximations to π Derived from Integrals with Nonnegative Integrands
172 -- 174Juan Pablo Pinasco. New Proofs of Euclid's and Euler's Theorems
174 -- 178Janusz Januszewski. A Note on Covering a Square of Side Length 2 + with Unit Squares
179 -- 0Mihály Bencze. Problem 11413
179 -- 0Omran Kouba. Problem 11412
179 -- 0Alun Wyn-jones. Problem 11411
179 -- 180Marian Tetiva. Problem 11414
180 -- 0Cezar Lupu. Problem 11417
180 -- 0Yaming Yu. Problem 11416
180 -- 181Steve Butler, Jia Mao. Graphs with Few Edges, All in Short Cycles: 11265
180 -- 0Finbar Holland. Problem 11415
181 -- 183Marian Tetiva, Robin Chapman. Partitioning Values of a Polynomial into Sets of Equal Sum: 11266
183 -- 184Ovidiu Furdui, Vitaly Stakhovsky. An Inequality with Trig: 11308
183 -- 0Eugene A. Herman, Richard Stong. Commuting Transformations: 11267
184 -- 185Roman Witula, Damian Slota, Arman Darbinyan, David Borwein. A Trig-Of-Trig Inequality: 11309
185 -- 186Stephen J. Herschkorn. A Game with Coins and Balls: 11311
187 -- 190V. S. Varadarajan. Review: Introduction to Calculus and Classical Analysis by Omar Hijab

Volume 116, Issue 10

0 -- 0. Volume Information
863 -- 881Peter D. Lax. Rethinking the Lebesgue Integral
882 -- 891Reinhard C. Laubenbacher, Bernd Sturmfels. Computer Algebra in Systems Biology
892 -- 909Bob Palais, Richard Palais, Stephen Rodi. A Disorienting Look at Euler's Theorem on the Axis of a Rotation
910 -- 922Bettina Richmond, Tom Richmond. How to Recognize a Parabola
923 -- 926Robert Beals. On Orders of Subgroups in Abelian Groups: An Elementary Solution of an Exercise of Herstein
926 -- 928Alexander E. Holroyd, Terry Soo. A Nonmeasurable Set from Coin Flips
928 -- 931John Brillhart. A Note on Euler's Factoring Problem
931 -- 935Joseph B. Keller, Ravi Vakil. the Value of π in
936 -- 939Lucio R. Berrone. The Associativity of the Pythagorean Law
940 -- 0Xiang Qian Chang. Problem 11467
940 -- 0Slavko Simic. Problem 11469
940 -- 0Cosmin Pohoata. Problem 11468
941 -- 0Paolo Perfetti. Problem 11473
941 -- 0Marian Tetiva. Problem 11470
941 -- 0Mahdi Makhul. Problem 11472
941 -- 942Juan López González, O. P. Lossers. Multiples of 6 Whose Successors Have Greater Divisor Sum: 11335 [2008, 71]
941 -- 0Finbarr Holland. Problem 11471
942 -- 943José Luis Díaz-Barrero, Mihai Cipu. A Fibonacci Inequality: 11339 [2008, 72]
943 -- 944Luis H. Gallardo, Sam Vandervelde. A Square in a Finite Field: 11342 [2008, 166]
944 -- 945David Beckwith, et al.. The Number of Balanced Senates from n States: 11343 [2008, 166]
945 -- 946Albert Stadler, Allen Stenger. A Möbius Function Identity: 11344 [2008, 166]
947 -- 0. Errata and End Notes for 2008
948 -- 955Michael Henle. Review: Music: A Mathematical Offering by David J. Benson; Musimathics: The Mathematical Foundations of Music by Gareth Loy

Volume 116, Issue 1

3 -- 18Judith V. Grabiner. Why Did Lagrange "Prove" the Parallel Postulate?
19 -- 44Mike Paterson, Uri Zwick. Overhang
45 -- 60Larry Goldstein. A Probabilistic Proof of the Lindeberg-Feller Central Limit Theorem
61 -- 66José Ángel Cid, Rodrigo López Pouso. Does Lipschitz with Respect to x Imply Uniqueness for the Differential Equation y′ = f(x, y)?
67 -- 68Ed Scheinerman, Anton R. Schep. A Simple Complex Analysis and an Advanced Calculus Proof of the Fundamental Theorem of Algebra
68 -- 69Natalia Casás Ferreño. Yet Another Proof of the Irrationality of √2
70 -- 74Giovanni Panti. A General Lagrange Theorem
75 -- 77Romeo Mestrovic. A Note on the Congruence $\left( \matrix \mathit{nd} \\ \mathit{md} \endmatrix \right)\equiv \left( \matrix n \\ m \endmatrix \right)(\text{mod}\, q)$
77 -- 81Sheldon M. Ross. A Simple Solution to a Multiple Player Gambler's Ruin Problem
82 -- 0Raimond Struble. Problem 11404
82 -- 0Ovidiu Furdui. Problem 11405
82 -- 0Erwin Just. Problem 11407
82 -- 0A. A. Dzhumadildaeva. Problem 11406
83 -- 0Marius Cavachi. Problem 11408
83 -- 84Richard Jerrard, John E. Wetzel, Mark D. Meyerson. A Solid with the Rupert Property: 11291
83 -- 0Omran Kouba. Problem 11410
83 -- 0Paolo Perfetti. Problem 11409
84 -- 0Pablo Fernández Refolio, Timothy Achenbach. An Infinite Product: 11299
84 -- 85Ulrich Abel. A Bernstein Polynomial Integral: 11300
85 -- 86Finbarr Holland, Byoung Tae Bae. A Quartic Inequality: - 11301
86 -- 87Horst Alzer. A Series with Harmonic Numbers: 11302
87 -- 88Teodora-Liliana Radulescu. Signed Series Terms: 11304
88 -- 89Alexandru Rosoiu, Victor Pambuccian. An Inequality for Triangles: 11306
90 -- 94Erik Talvila. Review: A Garden of Integrals by Frank E. Burk