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ORCIDThe American Mathematical Monthly, Volume 118
Volume 118, Number 1, January 2011
- David A. Cox:
Why Eisenstein Proved the Eisenstein Criterion and Why Schönemann Discovered It First. 3-21 - Jennifer M. Johnson, János Kollár:
How Small Can a Polynomial Be Near Infinity? 22-40 - Nikolai V. Ivanov:
Arnol'd, the Jacobi Identity, and Orthocenters. 41-65
- Nicholas Pippenger:
Two Extensions of Results of Archimedes. 66-71 - Paul Pollack:
On Polynomial Rings with a Goldbach Property. 71-77 - Alfonso Villani
:
Measurable Functions with a Given Set of Integrability Exponents. 77-82 - Alexis Akira Toda:
Operator Reverse Monotonicity of the Inverse. 82-83
- Problems and Solutions. 84-91
- Virginia McShane Warfield:
Review: What's Math Got To Do With It? Viking Press, London, England, 2008, xii + 273 pp., ISBN 978-0-670-01952-6, $24.95 by Jo Boaler. 92-95
Volume 118, Number 2, February 2011
- David M. Bressoud:
Historical Reflections on Teaching the Fundamental Theorem of Integral Calculus. 99-115 - Ravi Vakil:
The Mathematics of Doodling. 116-129 - Ian Short:
Ford Circles, Continued Fractions, and Rational Approximation. 130-135 - Markus Müller, Dierk Schleicher:
How to Add a Noninteger Number of Terms: From Axioms to New Identities. 136-152 - Lenny Jones:
When Does Appending the Same Digit Repeatedly on the Right of a Positive Integer Generate a Sequence of Composite Integers? 153-160
- Paul Pollack:
On Dickson's Theorem Concerning Odd Perfect Numbers. 161-164 - Eyal Ackerman, Rom Pinchasi, Ludmila Scharf, Marc Scherfenberg:
Every Simple Arrangement of n Lines Contains an Inducing Simple n-gon. 164-167 - José L. Gámez-Merino, Gustavo A. Muñoz-Fernández, Juan B. Seoane-Sepúlveda:
A Characterization of Continuity Revisited. 167-170 - Sam Northshield:
A Short Proof and Generalization of Lagrange's Theorem on Continued Fractions. 171-175 - Guisong Chang, Chen Xu:
Generalization and Probabilistic Proof of a Combinatorial Identity. 175-177
- Problems and Solutions. 178-185
- Jeffrey Nunemacher:
Review: Understanding Analysis. Springer, New York, NY, xii + 257 pp., 2001, ISBN 978-0-367-95060-0, $54.95 by Stephen Abbott; Real Mathematical Analysis. Springer, New York, NY, xi + 437 pp., 2002, ISBN 978-0-387-95297-0, $64.95 by Charles Chapman Pugh. 186-189
Volume 118, Number 3, March 2011
- Barbara Faires:
Yueh-Gin Gung and Dr. Charles Y. Hu Award for 2011 to Joseph A. Gallian for Distinguished Service to Mathematics. 195-197 - Fernando Q. Gouvêa:
Was Cantor Surprised? 198-209 - Steven H. Weintraub:
On Legendre's Work on the Law of Quadratic Reciprocity. 210-216 - Alexander Ryba, Joseph Stern:
Equimodular Polynomials and the Tritangency Theorems of Euler, Feuerbach, and Guinand. 217-228 - Keith Burns, Boris Hasselblatt:
The Sharkovsky Theorem: A Natural Direct Proof. 229-244 - John H. Hubbard, Benjamin E. Lundell:
A First Look at Differential Algebra. 245-261
- Grant Keady:
Lines of Best Fit for the Zeros and for the Critical Points of a Polynomial. 262-264 - Sascha Kurz, Rom Pinchasi:
Regular Matchstick Graphs. 264-267 - Edward Chlebus:
A Recursive Scheme for Improving the Original Rate of Convergence to the Euler-Mascheroni Constant. 268-274
- Problems and Solutions. 275-282
- Christopher C. Leary:
Review: Logical Labyrinths. A K Peters, Ltd., Wellesley, MA, 2009, vii + 327 pp., ISBN 978-1-56881-443-8, $49.00 by Raymond M. Smullyan. 283-286
Volume 118, Number 4, April 2011
- Peter Sarnak:
Integral Apollonian Packings. 291-306 - Thomas C. Hull:
Solving Cubics With Creases: The Work of Beloch and Lill. 307-315 - Heng Huat Chan, Ling Long, Yifan Yang:
A Cubic Analogue of the Jacobsthal Identity. 316-326 - Hugh M. Hilden, José M. Montesinos-Amilibia, Débora M. Tejada, Margarita M. Toro:
Artifacts for Stamping Symmetric Designs. 327-343 - Jaume Paradís, Pelegrí Viader, Lluís Bibiloni:
A New Singular Function. 344-354
- Roger Cooke:
A Remark on Euclid's Theorem on the Infinitude of the Primes. 355-358 - James Rickards:
When Is a Polynomial a Composition of Other Polynomials? 358-363 - Pieter Moree:
A Top Hat for Moser's Four Mathemagical Rabbits. 364-370
- Problems and Solutions. 371-378
- Susan Jane Colley:
Review: The Mathematics of Sex: How Biology and Society Conspire to Limit Talented Women and Girls. Oxford University Press, Oxford-New York, 2010, xv + 270 pp., ISBN 978-0-19-538939-5, $34.95 by Stephen J. Ceci and Wendy M. Williams. 379-382
Volume 118, Number 5, May 2011
- David S. Watkins:
Francis's Algorithm. 387-403 - R. Michael Range:
Where Are Limits Needed in Calculus? 404-417 - Vincent Vatter:
Maximal Independent Sets and Separating Covers. 418-423 - Mikhail Skopenkov:
Packing a Cake into a Box. 424-433 - Alan Tucker:
What Every Mathematician Should Know about Standards-Based Tests. 434-447
- Geoffrey R. Robinson:
Cauchy's Theorem and Sylow's Theorem from the Cyclic Case. 448-449 - Alan D. Sokal:
A Really Simple Elementary Proof of the Uniform Boundedness Theorem. 450-452 - Marian Deaconescu, Gary L. Walls:
On the Group of Automorphisms of a Group. 452-455 - Bogdan Nica:
The Unreasonable Slightness of E2 over Imaginary Quadratic Rings. 455-462
- Problems and Solutions. 463-470
- Peggy Aldrich Kidwell:
Review: Mathematics in Historical Context. Mathematical Association of America, Washington, DC, 2009, x + 409, ISBN: 978-0-88385-570-6, $58.50. by Jeffrey Suzuki. 471-474
Volume 118, Number 6, June-July 2011
- Fred Kuczmarski:
Roads and Wheels, Roulettes and Pedals. 479-496 - Martin Griffiths:
The Golden String, Zeckendorf Representations, and the Sum of a Series. 497-507 - Rafe Jones:
Achievement Sets of Sequences. 508-521 - Pamela Gorkin, Elizabeth Skubak:
Polynomials, Ellipses, and Matrices: Two Questions, One Answer. 522-533 - Ronald F. Wotzlaw, Günter M. Ziegler:
A Lost Counterexample and a Problem on Illuminated Polytopes. 534-543
- János Pach, Ethan Sterling:
Conway's Conjecture for Monotone Thrackles. 544-548 - Kieren MacMillan, Jonathan Sondow:
Proofs of Power Sum and Binomial Coefficient Congruences via Pascal's Identity. 549-551 - Caleb Emmons:
Meromorphic Continuation of Dirichlet Series via Derivations. 551-556
- Problems and Solutions. 557-564
- Robin Hartshorne:
Review: Continuous Symmetry: From Euclid to Klein. American Mathematical Society, Providence, RI, 2007, xxi + 546 pp., ISBN 978-0821839003, $69. by William Barker and Roger Howe. 565-568
Volume 118, Number 7, August-September 2011
- Kenneth A. Ross:
Benford's Law, A Growth Industry. 571-583 - Graham Everest, Thomas Ward:
A Repulsion Motif in Diophantine Equations. 584-598 - Alberto Torchinsky:
The Fourier Transform and the Wave Equation. 599-609 - Wayne Aitken, Franz Lemmermeyer:
Counterexamples to the Hasse Principle. 610-628 - Peyman Eslami, Pawel Góra:
On Eventually Expanding Maps of the Interval. 629-635
- Hichem Ben-el-Mechaiekh, Robert W. Dimand:
A Simpler Proof of the Von Neumann Minimax Theorem. 636-641 - Luigi Pace:
Probabilistically Proving that ζ(2) = πr/6. 641-643 - M. Ram Murty, V. Kumar Murty:
On a Problem of Ruderman. 644-650 - Alan F. Beardon:
Cyclic Absolute Differences of Integers. 650-652
- Problems and Solutions. 653-660
- Peter Winkler:
Review: Famous Puzzles of Great Mathematicians. American Mathematical Society, Providence, RI, 2009, xviii + 325 pp., ISBN 978-0-8218-4814-2, $36. by Miodrag S. Petkovič. 661-664
Volume 118, Number 8, October 2011
- Murad Özaydin, Charlotte Simmons:
The Birthday Trick with Lies. 667-679 - Russell A. Gordon:
Semiperimeter and Pythagorean Triples. 680-692 - Alexander B. Kharazishvili:
Measurability Properties of Vitali Sets. 693-703 - Stephan Ramon Garcia, Vincent Selhorst-Jones, Daniel E. Poore, Noah Simon:
Quotient Sets and Diophantine Equations. 704-711 - Peter J. Giblin, John P. Warder:
Reconstruction from Medial Representations. 712-725 - Leonard F. Klosinski, Gerald L. Alexanderson, Loren C. Larson, Mark Krusemeyer:
The Seventy-First William Lowell Putnam Mathematical Competition. 726-733
- R. K. Oliver:
On the Parity of a Permutation. 734-735 - Wouter Kager:
The Hitting Time Theorem Revisited. 735-737 - R. Thangadurai, A. Vatwani:
The Least Prime Congruent to One Modulo n. 737-742 - Penghao Cao, Liping Yuan:
A Blichfeldt-type Theorem for H-points. 743-746
- Problems and Solutions. 747-754
- Richard Askey:
Review: The Mathematics that Every Secondary School Math Teacher Needs to Know. Routledge, New York and London, 2010, xxvii + 732 pp., ISBN 978-0-415-99413-2 (pbk), $89.95. by Alan Sultan and Alice F. Artzt. 755-762
Volume 118, Number 9, November 2011
- Bruce C. Berndt:
The Chief Accountant and Mathematical Friend of Ramanujan - S. Narayana Aiyar. 767-776 - Penny Haxell:
On Forming Committees. 777-788 - Tom M. Apostol, Mamikon A. Mnatsakanian:
Complete Dissections: Converting Regions and Their Boundaries. 789-798 - Giacomo Drago, Pier Domenico Lamberti, Paolo Toni:
A "Bouquet" of Discontinuous Functions for Beginners in Mathematical Analysis. 799-811 - John B. Cosgrave, Karl Dilcher:
An Introduction to Gauss Factorials. 812-829
- Stephen P. Glasby:
Enumerating the Rationals from Left to Right. 830-835 - Semyon N. Litvinov:
On the Banach-Steinhaus Theorem for Topological Groups. 836-838 - Michael D. Hirschhorn:
Ramanujan's "Most Beautiful Identity". 839-845
- Problems and Solutions. 846-853
- Matthew Richey:
Review: Elementary Probability for Applications. Cambridge University Press, Cambridge, 2009, ix + 243 pp., ISBN 978-0-521-86756-6, $52.98. by Rick Durrett. 854-858
Volume 118, Number 10, December 2011
- Henryk Gerlach, Heiko von der Mosel:
On Sphere-Filling Ropes. 863-876 - Géza Kós:
On the Grasshopper Problem with Signed Jumps. 877-886 - Giovanni Falcone, Marco Pavone:
Kirkman's Tetrahedron and the Fifteen Schoolgirl Problem. 887-900 - Paul Baginski, Scott T. Chapman:
Factorizations of Algebraic Integers, Block Monoids, and Additive Number Theory. 901-920
- Hayri Ardal, Tom C. Brown, Veselin Jungic:
Chaotic Orderings of the Rationals and Reals. 921-925 - Raphaël Cerf, Pierre Petit:
A Short Proof of Cramér's Theorem in ℝ. 925-931 - Bahman Kalantari:
A Geometric Modulus Principle for Polynomials. 931-935
- Problems and Solutions. 936-945
- Andrew M. Odlyzko:
Review: Experimental Mathematics in Action. A K Peters, Wellesley, MA, 2007. xii + 322 pp., ISBN 978-1-56881-271-7. $65. by D. H. Bailey, J. M. Borwein, N. J. Calkin, R. Girgensohn, D. R. Luke, and V. H. Moll. 946-951
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