Journal: The American Mathematical Monthly

Volume 119, Issue 9

715 -- 752Michael Eisermann. The Fundamental Theorem of Algebra Made Effective: An Elementary Real-Algebraic Proof via Sturm Chains
753 -- 758Oswaldo Rio Branco de Oliveira. The Fundamental Theorem of Algebra: From the Four Basic Operations
759 -- 770John Lorch. Magic Squares and Sudoku
771 -- 778Panagiota N. Panagopoulou, Paul G. Spirakis. Playing a Game to Bound the Chromatic Number
779 -- 786David Brink. The Spiral of Theodorus and Sums of Zeta-values at the Half-integers
787 -- 793Boris Shapiro, Michael Shapiro. A Few Riddles Behind Rolle's Theorem
793 -- 795Boris Alexeev, Jacob Tsimerman. Note on a War-like Card Game
796 -- 799Florian Breuer. Newton Identities for Weierstrass Products
800 -- 807. Problems and Solutions
808 -- 811Stan Wagon. Review: In Pursuit of the Traveling Salesman. Princeton University Press, Princeton, NJ, 2012 xiii + 228 pp., ISBN 978-0-691-15270-7, $27.95. by William J. Cook

Volume 119, Issue 8

623 -- 635Leonard F. Klosinski, Gerald L. Alexanderson, Mark Krusemeyer. The Seventy-Second William Lowell Putnam Mathematical Competition
636 -- 645Yuval Ginosar, Ilan Yona. A Model for Pairs of Beatty Sequences
646 -- 657David H. Bailey, Jonathan M. Borwein. Ancient Indian Square Roots: An Exercise in Forensic Paleo-Mathematics
658 -- 669Bruce R. Ebanks. Looking for a Few Good Means
670 -- 681Paul Pollack. Finiteness Theorems for Perfect Numbers and Their Kin
682 -- 684Akira Sakurai. Vector Analysis Proof of Erdős' Inequality for Triangles
685 -- 689Boris M. Makarov. Calculation of the Volume of Multidimensional Cones and Balls Using Cavalieris Principle
690 -- 693David Angell. Evaluation of Certain Legendre Symbols
693 -- 694Jonathan Groves. An Elementary Counterexample in the Compact-Open Topology
695 -- 698Robert Dawson. Arithmetic Polygons
699 -- 706. Problems and Solutions
707 -- 711Mark Schwartz. Review: Geometry for College Students. American Mathematical Society, The Sally Series, Pure and Applied Undergraduate Texts No 8, Providence, RI, 2001. vii + 222 pp., ISBN 978-0-8218-4794-7. $62 ($49.60 to AMS members). by I. Martin Isaacs

Volume 119, Issue 7

535 -- 549David Borwein, Jonathan M. Borwein, Armin Straub. A Sinc that Sank
550 -- 565Lionel Levine, Katherine E. Stange. How to Make the Most of a Shared Meal: Plan the Last Bite First
566 -- 572Kai F. Kristensen. A Nearest Integer Solution to the Longest Run of Randomly Generated Words
573 -- 583Franz Lemmermeyer. Parametrization of Algebraic Curves from a Number Theorist's Point of View
584 -- 592Peter Borwein, Joe Hobart. The Extraordinary Power of Division in Straight Line Programs
593 -- 597Alin Bostan, Thierry Combot. A Binomial-like Matrix Equation
597 -- 601Ezra Brown, Marc Chamberland. Generalizing Gauss's Gem
601 -- 603Greg Kuperberg. p Are Linearly Independent in Finite Dimensions
603 -- 605Cédric De Groote, Mitia Duerinckx. 2
606 -- 607Tomasz Tkocz. An Upper Bound for Spherical Caps
608 -- 615. Problems and Solutions
616 -- 620Marion Cohen. Review: Change Is Possible: Stories of Women and Minorities in Mathematics. American Mathematical Society, Providence, RI, 2005, ix + 211 pp., ISBN 0-8218-3748-6, $32.00 by Patricia Clark Kenschaft

Volume 119, Issue 6

443 -- 450Dimitris Koukoulopoulos, Johann Thiel. Arrangements of Stars on the American Flag
451 -- 467Fred Kuczmarski. Rolling Sinusoidal Spirals
468 -- 476Robert Mandl, Thomas Pühringer, Maximilian Thaler. Analytic Approach to Galileo's Theorem on the Descent Time Along Two-Chord Paths in a Circle
477 -- 484Paul Binding, Hans Volkmer. A Prüfer Angle Approach to the Periodic Sturm-Liouville Problem
485 -- 494Raymond Mortini, Rudolf Rupp. Mappings into the Euclidean Sphere
495 -- 501Branko Grünbaum. Really Napoleon's Theorem?
502 -- 506Michael Dorfling, Johan Meyer. On Polynomials and Divisibility
506 -- 509Pedro Roitman. Gaussian Curvature, Mirrors, and Maps
510 -- 513Alan J. Aw. The Turán Number and Probabilistic Combinatorics
513 -- 515Walter Wyss. Perfect Parallelograms
516 -- 518Timothy C. Wallstrom. The Equalization Probability of the Pólya Urn
518 -- 521Lars Holst. A Proof of Euler's Infinite Product for the Sine
522 -- 529. Problems and Solutions
530 -- 532Jennifer J. Quinn. Review: Combinatorics the Rota Way. Cambridge University Press, New York, 2009, xii+396 pp., ISBN 978-0-521-73794-4, $40.99. by Joseph P. S. Kung, Gian-Carlo Rota, and Catherine H. Yan

Volume 119, Issue 5

359 -- 372Tony Gilbert. Lost Mail: The Missing Envelope in the Problem of the Minimal Surface of Revolution
373 -- 380Frits Beukers, Florian Luca, Frans Oort. Power Values of Divisor Sums
381 -- 397Hassan Boualem, Robert Brouzet. On What Is the Almost-Near Principle
398 -- 405Serge Tabachnikov. The (Un)equal Tangents Problem
406 -- 414Lance Bryant, James Hamblin, Lenny Jones. A Variation on the Money-Changing Problem
415 -- 419David Callan. Flexagons Lead to a Catalan Number Identity
419 -- 422R. D. Arthan. Aronszajn's Criterion for Euclidean Space
422 -- 425Joseph E. Borzellino, Morgan Sherman. When Is a Trigonometric Polynomial Not a Trigonometric Polynomial?
426 -- 433. Problems and Solutions
434 -- 438James A. Walsh. Review: Randomness and Recurrence in Dynamical Systems. The Carus Mathematical Monographs Number 31, Mathematical Association of America, Washington, DC, 2010, xviii + 357 pp., ISBN 978-0-88385-043-5, $52.95. by Rodney Nillsen

Volume 119, Issue 4

263 -- 283Rachel Wells Hall, Dmitri Tymoczko. Submajorization and the Geometry of Unordered Collections
284 -- 299Stephen McAdam. Unknowable Matters: How Nature's Speed Limit on Communication Relates to Quantum Physics
300 -- 312Barry Cox, Stan Wagon. Drilling for Polygons
313 -- 317Kenneth Hicks, Xiang-dong Hou, Gary L. Mullen. Sums of Reciprocals of Polynomials over Finite Fields
318 -- 323Evgeny Lakshtanov, Vera Roshchina. On Finiteness in the Card Game of War
324 -- 330Djurdje Cvijovic, Hari M. Srivastava. Limit Representations of Riemann's Zeta Function
331 -- 333Christian Elsholtz. Prime Divisors of Thin Sequences
333 -- 336Isaac Edward Leonard, A. C. F. Liu. A Familiar Recurrence Occurs Again
337 -- 339Robbert Fokkink. Tossing Coins to Guess a Secret Number
340 -- 342Lizhou Chen. A Generalization of the Cayley-Hamilton Theorem
342 -- 343R. McCutcheon. n
344 -- 351. Problems and Solutions
352 -- 356Bonnie Shulman. Review: Population Games and Evolutionary Dynamics. MIT Press, Cambridge, MA, 2011, xxv + 589 pp., ISBN 978-0-262-19587-4, $65. by William H. Sandholm

Volume 119, Issue 3

179 -- 182Ann E. Watkins. Yueh-Gin Gung and Dr. Charles Y. Hu Award for 2012 to John Ewing for Distinguished Service to Mathematics
183 -- 198Jessica Sidman. An Introduction to Algebraic Geometry: Polygons, Parameterizations, and Equations
199 -- 210Daniel Daners. The Mercator and Stereographic Projections, and Many in Between
211 -- 234Yves Nievergelt. Real and Generic Data without Unconstrained Best-Fitting Verhulst Curves and Sufficient Conditions for Median Mitscherlich and Verhulst Curves to Exist
235 -- 239William C. Waterhouse. Square Root as a Homomorphism
240 -- 244Michael P. Cohen. Sample Means of Independent Standard Cauchy Random Variables Are Standard Cauchy: A New Approach
245 -- 246Daniel Reem. Character Analysis Using Fourier Series
247 -- 254. Problems and Solutions
255 -- 259Gerald L. Alexanderson. Review: Loving and Hating Mathematics: Challenging the Myths of Mathematical Life. Princeton University Press, Princeton, NJ, 2011, xii + 416 pp. ISBN 978-0-691-14247-0, $29.95. by Reuben Hersh and Vera John-Steiner

Volume 119, Issue 2

87 -- 99Boris S. Mordukhovich, Nguyen Mau Nam, Juan Salinas. Solving a Generalized Heron Problem by Means of Convex Analysis
100 -- 114Sam Vandervelde. Jacobi Sum Matrices
115 -- 121Donald J. Bindner, Martin J. Erickson. Alcuin's Sequence
122 -- 139Burkard Polster, Marty Ross, David Treeby. A Case of Continuous Hangover
140 -- 147David A. Herron. Riemann Maps and Diameter Distance
147 -- 151Cristinel Mortici. A Power Series Approach to Some Inequalities
151 -- 155Julian Rosen, Zachary Scherr, Benjamin Weiss, Michael E. Zieve. Chebyshev Mappings of Finite Fields
156 -- 160Igor Pak, Rom Pinchasi. Collapsing Walls Theorem
161 -- 168. Problems and Solutions
169 -- 176José Ferreirós. Review: Roads to Infinity. The mathematics of truth and proof. A K Peters, Natick, MA, 2010. xi + 203 pp., ISBN 978-1-56881-466-7. $39.95 by John Stillwell

Volume 119, Issue 10

815 -- 823Tanya Khovanova, Alexey Radul. Killer Problems
824 -- 837Robert T. Jantzen, Klaus Volpert. On the Mathematics of Income Inequality: Splitting the Gini Index in Two
838 -- 851Carla D. Martin, Mason A. Porter. The Extraordinary SVD
852 -- 861William F. Trench. An Elementary View of Weyl's Theory of Equal Distribution
862 -- 867Yong-Gao Chen, Min Tang. n
868 -- 872Rolfdieter Frank, Harald Riede. n-Dimensional Cube
872 -- 875Jacob A. Siehler. Tiling Hamiltonian Cycles on the 24-Cell
876 -- 879Witold Sadowski. A Toy Forecast Model
880 -- 887. Problems and Solutions
888 -- 891Gerald L. Alexanderson. Review: Transcending Tradition: Jewish Mathematicians in German-Speaking Academic Culture. Springer Verlag, Berlin and Heidelberg, 2012, xi + 289 pp., ISBN 978-3-642-22463-8, $49.95. by Birgit Bergmann, Moritz Epple, and Ruti Ungar, editors

Volume 119, Issue 1

3 -- 0Scott Chapman. A Letter from the Editor
4 -- 24Daniel Brinkman, Peter J. Olver. Invariant Histograms
25 -- 41Thomas Bauer, Mirel Caibar, Gary Kennedy. Zariski Decomposition: A New (Old) Chapter of Linear Algebra
42 -- 51Dan Kalman, Mark McKinzie. Another Way to Sum a Series: Generating Functions, Euler, and the Dilog Function
52 -- 58Costas J. Efthimiou. A Class of Periodic Continued Radicals
58 -- 64Parames Laosinchai, Bhinyo Panijpan. A Geometric Interpretation of Pascal's Formula for Sums of Powers of Integers
65 -- 67Pete L. Clark. Covering Numbers in Linear Algebra
68 -- 75. Problems and Solutions
76 -- 82Alan Durfee. Review: An Introduction to the Mathematics of Money. Springer, New York, 2007, xii + 300 pp., ISBN 978-0-387-34432-4. $79.95. by David Lovelock, Marilou Mendel, and A. Larry Wright