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The American Mathematical Monthly, Volume 120
Volume 120, Number 1, January 2013
- Nicholas R. Baeth, Roger Wiegand:
Factorization Theory and Decompositions of Modules. 3-34 - Steven J. Brams, Michael A. Jones
, Christian Klamler
N-Person Cake-Cutting: There May Be No Perfect Division. 35-47 - M. Ram Murty, Anastasia Zaytseva:
Transcendence of Generalized Euler Constants. 48-54 - Jean-Baptiste Hiriart-Urruty, Patrice Lassère:
When Is Lr(R) Contained in Lp(R) + Lq(R)? 55-61
- Vinicius Nicolae Petre Anghel
A Use of Symmetry: Generalization of an Integral Identity Found by M. L. Glasser. 62-69 - Yi Jun Chen:
A Proof that Zeilberger Missed: A New Proof of an Identity by Chaundy and Bullard Based on the Wilf-Zeilberger Method. 69-70 - Lang P. Withers Jr.:
Visual Angular Momentum: Mamikon Meets Kepler. 71-73 - Wlodzimierz Bak:
A Simple Characterization of Differentiation. 74-75
- Problems and Solutions. 76-83
- Fernando Q. Gouvêa:
Review: Elliptic Curves, Modular Forms, and Their L-functions(Student Mathematical Library IAS/Park City Subseries, vol. 58), American Mathematical Society, Providence, RI, 2011, 195 pp., ISBN 978-0-8218-5242-2, $29.60. by Álvaro Lozano-Robledo. 84-94
Volume 120, Number 2, February 2013
- Holger Teismann:
Toward a More Complete List of Completeness Axioms. 99-114 - Freeman J. Dyson, Norman E. Frankel, M. Lawrence Glasser
Lehmer's Interesting Series. 116-130 - Dexter Kozen, Alexandra Silva:
On Moessner's Theorem. 131-139 - Susan H. Marshall, Alexander R. Perlis:
Heronian Tetrahedra Are Lattice Tetrahedra. 140-149 - Jeremy F. Alm, Michael Gramelspacher, Theodore Rice:
Rubik's on the Torus. 150-160
- David C. Ullrich:
A Simple Elementary Proof of Hilbert's Inequality. 161-164 - Aaron Melman
The Twin of a Theorem by Cauchy. 164-168 - Marco Dalai
How Would Riemann Evaluate ζ(2n)? 169-171 - Vladimir Dragovic
Polynomial Dynamics and a Proof of the Fermat Little Theorem. 171-173
- Problems and Solutions. 174-181
- Michael Nathanson:
Review: Elements of Information Theory. John Wiley and Sons, Inc., Hoboken, NJ, 2006, xxiv + 748 pp., ISBN 0-471-24195-4, $111.00. by Thomas M. Cover and Joy A. Thomas. 182-187
Volume 120, Number 3, March 2013
- Dierk Schleicher
Letter from the Guest Editors. 191 - John H. Conway:
On Unsettleable Arithmetical Problems. 192-198 - Robert Foote, Mark Levi, Serge Tabachnikov:
Tractrices, Bicycle Tire Tracks, Hatchet Planimeters, and a 100-year-old Conjecture. 199-216 - Dmitry Fuchs:
Evolutes and Involutes of Spatial Curves. 217-231 - Étienne Ghys:
Intersecting Curves (Variation on an Observation of Maxim Kontsevich). 232-242 - Aimeric Malter, Dierk Schleicher
New Looks at Old Number Theory. 243-264 - Tadashi Tokieda:
Roll Models. 265-282
- Rade T. Zivaljevic:
Mathematical Omnibus: Thirty Lectures on Classic Mathematics. 283-286 - Pieter Moree:
An Invitation to Mathematics: From Competitions to Research. 286-288 - Christoph Pöppe:
Dimensions. A mathematical video. 288-290
Volume 120, Number 4, April 2013
- Ann E. Watkins:
Yueh-Gin Gung and Dr. Charles Y. Hu Award for 2013 to William A. Hawkins for Distinguished Service to Mathematics. 295-297 - Tom M. Apostol, Mamikon A. Mnatsakanian:
New Balancing Principles Applied to Circumsolids of Revolution, and to n-Dimensional Spheres, Cylindroids, and Cylindrical Wedges. 298-321 - Matthew Jenssen
Irreducible Factorization Lengths and the Elasticity Problem within ℕ. 322-328 - Kenneth S. Williams:
The Parents of Jacobi's Four Squares Theorem Are Unique. 329-345 - Kathryn L. Nyman, Francis Edward Su:
A Borsuk-Ulam Equivalent that Directly Implies Sperner's Lemma. 346-354
- Habib Muzaffar
A New Proof of a Classical Formula. 355-358 - Steve Alpern, Robbert Fokkink:
Illuminating a Network from Its Nodes. 358-359 - Orr Shalit
A Sneaky Proof of the Maximum Modulus Principle. 359-362 - Olivier Bernardi
A Short Proof of Rayleigh's Theorem with Extensions. 362-364
- Problems and Solutions. 365-372
- Marie Snipes:
Review: Linear and Nonlinear Programming, 3rd ed., Springer, New York, 2008, xiv+546 pp., ISBN 0-387-74502-2, $109. by David G. Luenberger and Yinyu Ye. 373-379
Volume 120, Number 5, May 2013
- Scott Chapman:
A Letter from the Editor. 383 - Ehud Kalai:
Foreword: The High Priest of Game Theory. 384-385 - D. Gale, L. S. Shapley:
College Admissions and the Stability of Marriage. 386-391 - James Propp:
Real Analysis in Reverse. 392-408 - Melvyn B. Nathanson:
On the Fractional Parts of Roots of Positive Real Numbers. 409-429 - Stephen M. Buckley, Desmond MacHale:
Variations on a Theme: Rings Satisfying x3 = x Are Commutative. 430-440 - Joshua N. Cooper
Greedy Galois Games. 441-451 - Rachid Marsli
Geometric Multiplicities and Geršgorin Discs. 452-455 - Jim X. Xiang:
A Note on the Cauchy-Schwarz Inequality. 456-459 - Costas J. Efthimiou:
A Class of Continued Radicals. 459-461 - D. Aharonov, U. Elias:
A Binomial Identity via Differential Equations. 462-466 - F. Galaz-Fontes:
Another Proof for Non-Supercyclicity in Finite Dimensional Complex Banach Spaces. 466-468 - Problems and Solutions. 469-476
- Kevin Woods:
Review: Symmetry: A Mathematical Exploration. Springer, New York, 2012, xiv + 215pp., ISBN 978-1-4614-0298-5, $49.95. by Kristopher Tapp. 477-481 - Editor's Endnotes. 482-483
Volume 120, Number 6, 2013
- Andrew D. Hwang:
Paper Surface Geometry. 487-499 - Joanna M. Papakonstantinou, Richard A. Tapia:
Origin and Evolution of the Secant Method in One Dimension. 500-518 - Nathan Bliss, Ben Fulan, Stephen Lovett, Jeff Sommars:
Strong Divisibility, Cyclotomic Polynomials, and Iterated Polynomials. 519-536 - Steven H. Weintraub:
Several Proofs of the Irreducibility of the Cyclotomic Polynomials. 537-545 - Kurt Girstmair:
The Equation in ℤ/pℤ. 546-552 - Claire-Soizic Henry:
Coxeter Friezes and Triangulations of Polygons. 553-558 - Jonathon Peterson
A Probabilistic Proof of a Binomial Identity. 558-562 - S. A. Rankin:
The Euclidean Algorithm and the Linear Diophantine Equation ax + by = gcd(a, b). 562-564 - Tadashi Tokieda:
A Buoyancy-Driven Perpetual Motion Machine. 564-566 - Manas R. Sahoo:
Example of a Monotonic, Everywhere Differentiable Function on ℝ Whose Derivative Is not Continuous. 566-568 - Problems and Solutions. 569-576
- David M. Bressoud:
Review. 577-580
Volume 120, Number 7, 2013
- David J. Aldous:
Using Prediction Market Data to Illustrate Undergraduate Probability. 583-593 - Stephen D. Casey
Pi, the Primes, Periodicities, and Probability. 594-608 - Peter Kuchment, Sergey Lvin:
Identities for sin x that Came from Medical Imaging. 609-621 - Steve Butler, Ronald L. Graham:
Subdivision Using Angle Bisectors Is Dense in the Space of Triangles. 622-630 - Mikhail G. Katz, Eric Leichtnam:
Commuting and Noncommuting Infinitesimals. 631-641 - Daniele Ritelli
Another Proof of Using Double Integrals. 642-645 - Matthias Arnold, Werner Glaß:
Simple Approximation Formulas for the Birthday Problem. 645-648 - Anthony J. Bevelacqua:
Another Irreducibility Criterion. 648-650 - Jaban Meher, M. Ram Murty:
Ramanujan's Proof of Bertrand's Postulate. 650-653 - Tony Samuel
A Simple Proof of Vitali's Theorem for Signed Measures. 654-659 - Problems and Solutions. 660-669
- Joseph Malkevitch:
Review: The Mathematical Coloring Book. Springer, New York, xxx + 607 pp., ISBN 978-0-387-74640-1, $69.95. by Alexander Soifer. 670-674
Volume 120, Number 8, 2013
- Leonard F. Klosinski, Gerald L. Alexanderson, Mark Krusemeyer:
The Seventy-Third William Lowell Putnam Mathematical Competition. 679-688 - Alan Tucker:
The History of the Undergraduate Program in Mathematics in the United States. 689-705 - Brant Jones, Laura Taalman
Solitaire Mancala Games and the Chinese Remainder Theorem. 706-724 - Paul Monsky:
Frobenius' Result on Simple Groups of Order. 725-732 - Bhaskar Bagchi, Basudeb Datta:
Higher-Dimensional Analogues of the Map Coloring Problem. 733-737 - Dorin Ervin Dutkay, Constantin P. Niculescu
Stirling's Formula and Its Extension for the Gamma Function. 737-740 - Jean Van Schaftingen
A Direct Proof of the Existence of Eigenvalues and Eigenvectors by Weierstrass's Theorem. 741-746 - Alexander G. Ramm:
A Variational Principle and Its Application to Estimating the Electrical Capacitance of a Perfect Conductor. 747-751 - Zsolt Lengvárszky:
Proving the Pythagorean Theorem via Infinite Dissections. 751-753 - Problems and Solutions. 754-761
- Takis Konstantopoulos:
Review: An Introduction to Measure Theory. American Mathematical Society, Providence RI, 2011, xvi + 206 pp., ISBN 978-0-8218-6919-2, $53.00. by Terence Tao. 762-768
Volume 120, Number 9, 2013
- Jacques Lévy Véhel, Franklin Mendivil:
Christiane's Hair. 771-786 - Daniel J. Velleman, Gregory S. Warrington
What to Expect in a Game of Memory. 787-805 - Antonín Slavík
Mixing Problems with Many Tanks. 806-821 - Jonathan Bayless
Reciprocal Sums as a Knowledge Metric: Theory, Computation, and Perfect Numbers. 822-831 - Jorge Luis Cimadevilla Villacorta:
Certain Inequalities Associated with the Divisor Function. 832-837 - Charles S. Kahane:
On the Nonexistence of Certain Limits for the Complex Exponential. 837-840 - Árpád Bényi, Branko Curgus:
A Generalization of Routh's Triangle Theorem. 841-846 - David Pan:
A Maximum Principle for High-Order Derivatives. 846-848 - Gerhard J. Woeginger:
Nothing New about Equiangular Polygons. 849-850 - Stephan Ramon Garcia
Quotients of Gaussian Primes. 851-853 - Problems and Solutions. 854-861
- Betty Mayfield:
Review: Calculus: Modeling and Application, second edition. Mathematical Association of America, Washington, D.C., 2010. http://maa.pinnaclecart.com. Price: $35.00. ISBN 978-1-6144-610-1. by David A. Smith and Lawrence C. Moore. 862-864
Volume 120, Number 10, 2013
- David Pengelley:
Quick, Does 23/67 Equal 33/97? A Mathematician's Secret from Euclid to Today. 867-876 - Alexander P. Campbell
Linear Algebra via Complex Analysis. 877-892 - Olle Häggström, Johan Wästlund:
Rigorous Computer Analysis of the Chow-Robbins Game. 893-900 - Will Traves:
From Pascal's Theorem to d-Constructible Curves. 901-915 - Roger E. Howe:
The Cuoco Configuration. 916-923 - Ulrich Abel:
A Generalization of the Leibniz Rule. 924-928 - Jonathan Sondow:
The Parbelos, a Parabolic Analog of the Arbelos. 929-935 - G. J. O. Jameson:
Inequalities for Gamma Function Ratios. 936-940 - Problems and Solutions. 941-948
- James M. Henle, Michael G. Henle:
Review: Real Analysis Through Modern Infinitesimals, Cambridge University Press, 2011, xix + 565 pp., ISBN 978-1-107-00202-9, $127.00. by Nader Vakil. 949-953 - Editor's Endnotes. 954-956
- Title Index, Author Index, Problems Proposed, Problems Solved, Solutions, Referees. 957-967
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