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ORCIDThe American Mathematical Monthly, Volume 119
Volume 119, Number 1, January 2012
- Scott Chapman:
A Letter from the Editor. 3 - Daniel Brinkman, Peter J. Olver:
Invariant Histograms. 4-24 - Thomas Bauer
, Mirel Caibar, Gary Kennedy:
Zariski Decomposition: A New (Old) Chapter of Linear Algebra. 25-41 - Dan Kalman, Mark McKinzie:
Another Way to Sum a Series: Generating Functions, Euler, and the Dilog Function. 42-51
- Costas J. Efthimiou:
A Class of Periodic Continued Radicals. 52-58 - Parames Laosinchai, Bhinyo Panijpan:
A Geometric Interpretation of Pascal's Formula for Sums of Powers of Integers. 58-64 - Pete L. Clark:
Covering Numbers in Linear Algebra. 65-67
- Problems and Solutions. 68-75
- Alan 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. 76-82
Volume 119, Number 2, February 2012
- Boris S. Mordukhovich, Nguyen Mau Nam, Juan Salinas:
Solving a Generalized Heron Problem by Means of Convex Analysis. 87-99 - Sam Vandervelde:
Jacobi Sum Matrices. 100-114 - Donald J. Bindner, Martin J. Erickson:
Alcuin's Sequence. 115-121 - Burkard Polster, Marty Ross, David Treeby:
A Case of Continuous Hangover. 122-139
- David A. Herron:
Riemann Maps and Diameter Distance. 140-147 - Cristinel Mortici:
A Power Series Approach to Some Inequalities. 147-151 - Julian Rosen, Zachary Scherr, Benjamin Weiss, Michael E. Zieve:
Chebyshev Mappings of Finite Fields. 151-155 - Igor Pak, Rom Pinchasi:
Collapsing Walls Theorem. 156-160
- Problems and Solutions. 161-168
- José 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. 169-176
Volume 119, Number 3, March 2012
- Ann E. Watkins:
Yueh-Gin Gung and Dr. Charles Y. Hu Award for 2012 to John Ewing for Distinguished Service to Mathematics. 179-182 - Jessica Sidman:
An Introduction to Algebraic Geometry: Polygons, Parameterizations, and Equations. 183-198 - Daniel Daners:
The Mercator and Stereographic Projections, and Many in Between. 199-210 - Yves Nievergelt:
Real and Generic Data without Unconstrained Best-Fitting Verhulst Curves and Sufficient Conditions for Median Mitscherlich and Verhulst Curves to Exist. 211-234
- William C. Waterhouse:
Square Root as a Homomorphism. 235-239 - Michael P. Cohen:
Sample Means of Independent Standard Cauchy Random Variables Are Standard Cauchy: A New Approach. 240-244 - Daniel Reem:
Character Analysis Using Fourier Series. 245-246
- Problems and Solutions. 247-254
- Gerald 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. 255-259
Volume 119, Number 4, April 2012
- Rachel Wells Hall, Dmitri Tymoczko:
Submajorization and the Geometry of Unordered Collections. 263-283 - Stephen McAdam:
Unknowable Matters: How Nature's Speed Limit on Communication Relates to Quantum Physics. 284-299 - Barry J. Cox, Stan Wagon:
Drilling for Polygons. 300-312 - Kenneth Hicks, Xiang-dong Hou, Gary L. Mullen:
Sums of Reciprocals of Polynomials over Finite Fields. 313-317 - Evgeny Lakshtanov, Vera Roshchina:
On Finiteness in the Card Game of War. 318-323 - Djurdje Cvijovic, Hari M. Srivastava:
Limit Representations of Riemann's Zeta Function. 324-330
- Christian Elsholtz:
Prime Divisors of Thin Sequences. 331-333 - Isaac Edward Leonard, A. C. F. Liu:
A Familiar Recurrence Occurs Again. 333-336 - Robbert Fokkink:
Tossing Coins to Guess a Secret Number. 337-339 - Lizhou Chen:
A Generalization of the Cayley-Hamilton Theorem. 340-342 - R. McCutcheon:
Monochromatic Permutation Quadruples - A Schur Thing in Sn. 342-343
- Problems and Solutions. 344-351
- Bonnie 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. 352-356
Volume 119, Number 5, May 2012
- Tony Gilbert:
Lost Mail: The Missing Envelope in the Problem of the Minimal Surface of Revolution. 359-372 - Frits Beukers, Florian Luca, Frans Oort:
Power Values of Divisor Sums. 373-380 - Hassan Boualem, Robert Brouzet:
On What Is the Almost-Near Principle. 381-397 - Serge Tabachnikov:
The (Un)equal Tangents Problem. 398-405 - Lance Bryant, James Hamblin, Lenny Jones:
A Variation on the Money-Changing Problem. 406-414
- David Callan:
Flexagons Lead to a Catalan Number Identity. 415-419 - R. D. Arthan:
Aronszajn's Criterion for Euclidean Space. 419-422 - Joseph E. Borzellino, Morgan Sherman:
When Is a Trigonometric Polynomial Not a Trigonometric Polynomial? 422-425
- Problems and Solutions. 426-433
- James 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. 434-438
Volume 119, Number 6, June-July 2012
- Dimitris Koukoulopoulos, Johann Thiel:
Arrangements of Stars on the American Flag. 443-450 - Fred Kuczmarski:
Rolling Sinusoidal Spirals. 451-467 - Robert Mandl, Thomas Pühringer, Maximilian Thaler:
Analytic Approach to Galileo's Theorem on the Descent Time Along Two-Chord Paths in a Circle. 468-476 - Paul Binding, Hans Volkmer:
A Prüfer Angle Approach to the Periodic Sturm-Liouville Problem. 477-484 - Raymond Mortini, Rudolf Rupp:
Mappings into the Euclidean Sphere. 485-494 - Branko Grünbaum:
Is Napoleon's Theorem Really Napoleon's Theorem? 495-501
- Michael Dorfling, Johan Meyer:
On Polynomials and Divisibility. 502-506 - Pedro Roitman:
Gaussian Curvature, Mirrors, and Maps. 506-509 - Alan J. Aw:
The Turán Number and Probabilistic Combinatorics. 510-513 - Walter Wyss:
Perfect Parallelograms. 513-515 - Timothy C. Wallstrom:
The Equalization Probability of the Pólya Urn. 516-518 - Lars Holst:
A Proof of Euler's Infinite Product for the Sine. 518-521
- Problems and Solutions. 522-529
- Jennifer 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. 530-532
Volume 119, Number 7, August-September 2012
- David Borwein, Jonathan M. Borwein, Armin Straub:
A Sinc that Sank. 535-549 - Lionel Levine, Katherine E. Stange:
How to Make the Most of a Shared Meal: Plan the Last Bite First. 550-565 - Kai F. Kristensen:
A Nearest Integer Solution to the Longest Run of Randomly Generated Words. 566-572 - Franz Lemmermeyer:
Parametrization of Algebraic Curves from a Number Theorist's Point of View. 573-583 - Peter B. Borwein, Joe Hobart:
The Extraordinary Power of Division in Straight Line Programs. 584-592
- Alin Bostan, Thierry Combot:
A Binomial-like Matrix Equation. 593-597 - Ezra Brown, Marc Chamberland:
Generalizing Gauss's Gem. 597-601 - Greg Kuperberg:
Norms as a Function of p Are Linearly Independent in Finite Dimensions. 601-603 - Cédric De Groote, Mitia Duerinckx:
Functions with Constant Mean on Similar Countable Subsets of ℝ2. 603-605 - Tomasz Tkocz:
An Upper Bound for Spherical Caps. 606-607
- Problems and Solutions. 608-615
- Marion 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. 616-620
Volume 119, Number 8, October 2012
- Leonard F. Klosinski, Gerald L. Alexanderson, Mark Krusemeyer:
The Seventy-Second William Lowell Putnam Mathematical Competition. 623-635 - Yuval Ginosar, Ilan Yona:
A Model for Pairs of Beatty Sequences. 636-645 - David H. Bailey, Jonathan M. Borwein:
Ancient Indian Square Roots: An Exercise in Forensic Paleo-Mathematics. 646-657 - Bruce R. Ebanks:
Looking for a Few Good Means. 658-669 - Paul Pollack:
Finiteness Theorems for Perfect Numbers and Their Kin. 670-681
- Akira Sakurai:
Vector Analysis Proof of Erdős' Inequality for Triangles. 682-684 - Boris M. Makarov:
Calculation of the Volume of Multidimensional Cones and Balls Using Cavalieris Principle. 685-689 - David Angell:
Evaluation of Certain Legendre Symbols. 690-693 - Jonathan Groves:
An Elementary Counterexample in the Compact-Open Topology. 693-694 - Robert Dawson:
Arithmetic Polygons. 695-698
- Problems and Solutions. 699-706
- Mark 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. 707-711
Volume 119, Number 9, November 2012
- Michael Eisermann:
The Fundamental Theorem of Algebra Made Effective: An Elementary Real-Algebraic Proof via Sturm Chains. 715-752 - Oswaldo Rio Branco de Oliveira:
The Fundamental Theorem of Algebra: From the Four Basic Operations. 753-758 - John Lorch:
Magic Squares and Sudoku. 759-770 - Panagiota N. Panagopoulou, Paul G. Spirakis:
Playing a Game to Bound the Chromatic Number. 771-778 - David Brink:
The Spiral of Theodorus and Sums of Zeta-values at the Half-integers. 779-786
- Boris Z. Shapiro, Michael Shapiro:
A Few Riddles Behind Rolle's Theorem. 787-793 - Boris Alexeev, Jacob Tsimerman:
Note on a War-like Card Game. 793-795 - Florian Breuer:
Newton Identities for Weierstrass Products. 796-799
- Problems and Solutions. 800-807
- Stan 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. 808-811
Volume 119, Number 10, December 2012
- Tanya Khovanova, Alexey Radul:
Killer Problems. 815-823 - Robert T. Jantzen, Klaus Volpert:
On the Mathematics of Income Inequality: Splitting the Gini Index in Two. 824-837 - Carla D. Martin, Mason A. Porter:
The Extraordinary SVD. 838-851 - William F. Trench:
An Elementary View of Weyl's Theory of Equal Distribution. 852-861 - Yong-Gao Chen, Min Tang:
On the Elementary Symmetric Functions of 1, 1⁄2, ..., 1⁄n. 862-867
- Rolfdieter Frank, Harald Riede:
Hyperplane Sections of the n-Dimensional Cube. 868-872 - Jacob A. Siehler:
Tiling Hamiltonian Cycles on the 24-Cell. 872-875 - Witold Sadowski:
A Toy Forecast Model. 876-879
- Problems and Solutions. 880-887
- Gerald 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. 888-891
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