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The American Mathematical Monthly, Volume 116
Volume 116, Number 1, January 2009
- Judith V. Grabiner:
Why Did Lagrange "Prove" the Parallel Postulate? 3-18 - Mike Paterson, Uri Zwick:
Overhang. 19-44 - Larry Goldstein:
A Probabilistic Proof of the Lindeberg-Feller Central Limit Theorem. 45-60 - José Ángel Cid, Rodrigo López Pouso:
Does Lipschitz with Respect to x Imply Uniqueness for the Differential Equation y′ = f(x, y)? 61-66
- Ed Scheinerman, Anton R. Schep:
A Simple Complex Analysis and an Advanced Calculus Proof of the Fundamental Theorem of Algebra. 67-68 - Natalia Casás Ferreño:
Yet Another Proof of the Irrationality of √2. 68-69 - Giovanni Panti:
A General Lagrange Theorem. 70-74 - Romeo Mestrovic:
A Note on the Congruence (nd md) = (n m) (mod q). 75-77 - Sheldon M. Ross:
A Simple Solution to a Multiple Player Gambler's Ruin Problem. 77-81
- Raimond Struble:
Problem 11404. 82 - Ovidiu Furdui:
Problem 11405. 82 - A. A. Dzhumadildaeva:
Problem 11406. 82 - Erwin Just:
Problem 11407. 82 - Marius Cavachi:
Problem 11408. 83 - Paolo Perfetti:
Problem 11409. 83 - Omran Kouba:
Problem 11410. 83
- Richard Jerrard, John E. Wetzel, Mark D. Meyerson:
A Solid with the Rupert Property: 11291. 83-84 - Pablo Fernández Refolio, Timothy Achenbach:
An Infinite Product: 11299. 84 - Ulrich Abel:
A Bernstein Polynomial Integral: 11300. 84-85 - Finbarr Holland, Byoung Tae Bae:
A Quartic Inequality: - 11301. 85-86 - Horst Alzer:
A Series with Harmonic Numbers: 11302. 86-87 - Teodora-Liliana Radulescu:
Signed Series Terms: 11304. 87-88 - Alexandru Rosoiu, Victor Pambuccian:
An Inequality for Triangles: 11306. 88-89
- Erik Talvila:
Review: A Garden of Integrals by Frank E. Burk. 90-94
Volume 116, Number 2, February 2009
- Thomas L. Bartlow, David E. Zitarelli:
Who Was Miss Mullikin? 99-114 - Tom M. Apostol, Mamikon A. Mnatsakanian:
A New Look at the So-Called Trammel of Archimedes. 115-133 - Frank Morgan:
Manifolds with Density and Perelman's Proof of the Poincaré Conjecture. 134-142 - Joseph Bak, Pisheng Ding:
Shape Distortion by Analytic Functions. 143-150 - Christian Haase, Josef Schicho:
Lattice Polygons and the Number 2i + 7. 151-165
- Stephen K. Lucas:
Approximations to π Derived from Integrals with Nonnegative Integrands. 166-172 - Juan Pablo Pinasco:
New Proofs of Euclid's and Euler's Theorems. 172-174 - Janusz Januszewski:
A Note on Covering a Square of Side Length 2 + with Unit Squares. 174-178
- Alun Wyn-jones:
Problem 11411. 179 - Omran Kouba:
Problem 11412. 179 - Mihály Bencze:
Problem 11413. 179 - Marian Tetiva:
Problem 11414. 179-180 - Finbar Holland:
Problem 11415. 180 - Yaming Yu:
Problem 11416. 180 - Cezar Lupu:
Problem 11417. 180
- Steve Butler, Jia Mao:
Graphs with Few Edges, All in Short Cycles: 11265. 180-181 - Marian Tetiva, Robin Chapman:
Partitioning Values of a Polynomial into Sets of Equal Sum: 11266. 181-183 - Eugene A. Herman, Richard Stong:
Commuting Transformations: 11267. 183 - Ovidiu Furdui, Vitaly Stakhovsky:
An Inequality with Trig: 11308. 183-184 - Roman Witula, Damian Slota, Arman Darbinyan, David Borwein:
A Trig-Of-Trig Inequality: 11309. 184-185 - Stephen J. Herschkorn:
A Game with Coins and Balls: 11311. 185-186
- V. S. Varadarajan:
Review: Introduction to Calculus and Classical Analysis by Omar Hijab. 187-190
Volume 116, Number 3, March 2009
- Barbara Faires:
Yueh-Gin Gung and Dr. Charles Y. Hu Award for 2009 to Robert E. Megginson for Distinguished Service to Mathematics. 195-196 - Alan H. Schoenfeld:
Working with Schools: The Story of a Mathematics Education Collaboration. 197-217 - Russell A. Gordon:
Some Integrals Involving the Cantor Function. 218-227 - Jerzy Kocik, Andrzej Solecki:
Disentangling a Triangle. 228-237 - Aaron Melman:
Overshooting Properties of Newton-Like and Ostrowski-Like Methods. 238-250 - Serge Troubetzkoy:
Dual Billiards, Fagnano Orbits, and Regular Polygons. 251-260
- Shirley Llamado Yap:
The Poincaré Lemma and an Elementary Construction of Vector Potentials. 261-267 - Emmanuel Preissmann, Maurice Mischler:
Seating Couples around the King's Table and a New Characterization of Prime Numbers. 268-272 - Amir Akbary, Zachary Friggstad:
Superabundant Numbers and the Riemann Hypothesis. 273-275
- George Lamb:
Problem 11418. 276 - Vasile Mihai:
Problem 11419. 276 - Kent Holing:
Problem 11420. 277 - Sergio Falcón, Ángel Plaza:
Problem 11421. 277 - Christopher J. Hillar:
Problem 11422. 277 - Gregory Minton:
Problem 11423. 277 - Emeric Deutsch:
Problem 11424. 277
- Donald E. Knuth, Richard Stong:
Reversal by Swaps: 11264 [2007, 77]. 277-278 - Cezar Lupu, Li Zhou:
From Integral to Derivative: 11313 [2007, 744]. 279 - Yakub N. Aliyev, Marian Tetiva:
A Floor Equation: 11314 [2007, 744]. 279-281 - Ovidiu Furdui, et al.:
Convergence of an Improper Integral with Three Parameters: 11316 [2007, 745]. 281-283 - David Beckwith, et al.:
Sum of Digits: 11319 [2008, 835]. 283
- Philip D. Straffin:
Mr. Hopkins' Men: Cambridge Reform and British Mathematics in the 19th Century by Alex D. D. Craik. 284-288
Volume 116, Number 4, April 2009
- Michael F. Barnsley:
Transformations between Self-Referential Sets. 291-304 - B. Ross Barmish, Nigel Boston:
Risk and Return Considerations in "The Weakest Link". 305-315 - Hajrudin Fejzic, Chris Freiling, Dan Rinne:
Descartes' Rule of Signs, Alternations of Data Sets, and Balanced Differences. 316-327 - Douglas Drinen, Kathleen Grace Kennedy, William M. Priestley:
An Optimization Problem with a Surprisingly Simple Solution. 328-341 - Ethan D. Bloch:
A Simple Proof of a Generalized No Retraction Theorem. 342-350
- Bruce Solomon:
Central Cross-Sections Make Surfaces of Revolution Quadric. 351-355 - Idris David Mercer:
On Furstenberg's Proof of the Infinitude of Primes. 355-356 - Jerry J. Koliha:
Mean, Meaner, and the Meanest Mean Value Theorem. 356-361 - Giedrius Alkauskas:
A Curious Proof of Fermat's Little Theorem. 362-364
- Erwin Just:
Problem 11425. 365 - M. L. Glasser:
Problem 11426. 365 - Viorel Bandila:
Problem 11427. 365 - Walter Blumberg:
Problem 11428. 365 - Cezar Lupu:
Problem 11429. 365-366 - He Yi:
Problem 11430. 366 - Finbarr Holland, Stephen Wills:
Problem 11431. 366
- Marian Tetiva, Robin Chapman:
Partitioning Values of a Polynomial into Sets of Equal Sum: 11266 [2007, 77]. 366-368 - Sergey Sadov, Harris Kwong:
The Determinant of a Spiral Matrix: 11270 [2007, 78]. 368-369 - Iliya Bluskov:
Covering the Chessboard with Sets of Non-Attacking Queens: 11271 [2007, 164]. 369-370 - Sergey Sadov, Kim McInturff:
Determinant of Another Spiral Matrix: 11293 [2007, 451]. 370-371 - Jakob Jonsson, Annie Carter, David Callan:
Oddly Triangulated Polygons: 11298 [2007, 547]. 371-372 - Mohammad Farrokhi Derakhshandeh Ghouchan, T. S. Michael:
A Characterization of Permutation Matrices: 11303 [2007, 548]. 372
- James W. Vick:
Review: Topology Now! by Robert Messer; Philip Straffin; Introduction to Topology: Pure and Applied by Colin Adams; Robert Franzosa. 373-375 - Kristopher Tapp:
Review: Differential Geometry and Its Applications by John Oprea. 375-377 - Daniel J. Velleman:
Editor's Endnotes. 378-382
Volume 116, Number 5, May 2009
- Jonathan M. Borwein, Neil J. Calkin, Dante Manna:
Euler-Boole Summation Revisited. 387-412 - Mira Bhargava:
Groups as Unions of Proper Subgroups. 413-422 - Rick Mabry, Paul Deiermann:
Of Cheese and Crust: A Proof of the Pizza Conjecture and Other Tasty Results. 423-438 - Nieves Alamo, Carlos Criado:
Parallel Transport and Thomas-Wigner Rotation. 439-446
- Daniel Heath, I. M. Isaacs, John Kiltinen, Jessica Sklar:
Symmetric and Alternating Groups Generated by a Full Cycle and Another Element. 447-451 - Michael J. Evans, Paul D. Humke:
Revisiting a Century-Old Characterization of Baire Class One, Darboux Functions. 451-455 - Chris Bernhardt:
A Proof of the Cayley-Hamilton Theorem. 456-457 - Peter Wagner:
A New Constructive Proof of the Malgrange-Ehrenpreis Theorem. 457-462
- Marian Tetiva:
Problem 11432. 463 - Marius Cavachi:
Problem 11433. 463 - Slavko Simic:
Problem 11434. 463 - Panagiote Ligouras:
Problem 11435. 463 - Yakub N. Aliyev:
Problem 11436. 463-464 - Tamás Erdélyi:
Problem 11437. 464 - David H. Bailey:
Problem 11438. 464
- Marian Tetiva, Byron Schmuland:
A Sequence of Partitions into Sets with Equal Sum: 11273 [2007, 164]. 464-465 - Max A. Alekseyev, John Henry Steelman:
Counting Permutations with Two Displacement Values: 11281 [2007, 259]. 465 - John Abbot, John Wilkinson:
Irreducible Polynomials from a Theorem of Fermat: 11283 [2007, 260]. 465-466 - Greg Oman, Manuel Reyes:
Rings That are Fields: 11284 [2007, 358]. 466 - Marc LeBrun:
Descending Dungeons: 11286 [2007, 358]. 466-467 - Christopher J. Hillar, Saïd Amghibech:
A Polynomial Identity: 11288 [2007, 359]. 468 - David Callan, Robin Chapman:
Divisibility of a Central Binomial Sum: 11292&11307 [2007, 451&640]. 468-470 - Mohammad Farrokhi Derakhshandeh Ghouchan, Tuomas Hytönen:
The Prime Exponentiation of an Integer: 11315 [2007, 744]. 470
- Allen Holder:
Understanding and Using Linear Programming by Jiří Matoušek; Bernd Gärtner; Introduction to Optimization by Pablo Pedregal. 471-476
Volume 116, Number 6, June-July 2009
- Alissa S. Crans, Thomas M. Fiore, Ramon Satyendra:
Musical Actions of Dihedral Groups. 479-495 - Julius B. Barbanel, Steven J. Brams, Walter Stromquist:
Cutting a Pie Is Not a Piece of Cake. 496-514 - Jack S. Calcut:
Gaussian Integers and Arctangent Identities for π. 515-530
- Kevin Beanland, James W. Roberts, Craig Stevenson:
Modifications of Thomae's Function and Differentiability. 531-535 - Ulrich Abel, Mircea Ivan:
Over-Iterates of Bernstein's Operators: A Short and Elementary Proof. 535-538 - Paul Levrie, Walter Daems:
Evaluating the Probability Integral Using Wallis's Product Formula for π. 538-541 - Gerald Kuba:
Counting Fields of Complex Numbers. 541-546
- Stephen Herschkorn:
Problem 11439. 547 - Stefano Siboni:
Problem 11440. 547 - Yakub N. Aliyev:
Problem 11441. 547 - José Luis Díaz-Barrero, José Gibergans-Báguena:
Problem 11442. 547-548 - Eugen J. Ionascu:
Problem 11443. 548 - Marian Tetiva:
Problem 11444. 548 - H. A. ShahAli:
Problem 11445. 548
- Donald E. Knuth, Julian L. Hook:
Sums and Powers, Set Counting, and Coefficient Tracking: 11274 [2007, 165]. 548-549 - Dragomir Z. Dokovic, Richard Stong:
A Unipotent Matrix: 11282 [2007, 260]. 549-550 - Vahan Mkrtchyan, Codrut Grosu:
Disjoint Maximum-Sized Matchings: 11305 [2007, 640]. 550-551 - Erwin Just, Tom Kezlan:
An Exponential Condition for Commutativity: 11310 [2007, 641]. 551-552 - David Callan, Marc Renault:
Uniformly Distributed Valleys: 11312 [2007, 744]. 552-553 - Michel Bataille, John Cade:
From Quadrilateral to Trapezoid: 11317 [2007, 745]. 553-554
- Branko Grünbaum:
The Symmetries of Things by John H. Conway; Heidi Burgiel; Chaim Goodman-Strauss. 555-562
Volume 116, Number 7, August-September 2009
- Nayandeep Deka Baruah, Bruce C. Berndt, Heng Huat Chan:
Ramanujan's Series for 1/π: A Survey. 567-587 - Greg Martin, Erick B. Wong:
Almost All Integer Matrices Have No Integer Eigenvalues. 588-597 - Tom M. Apostol, Mamikon A. Mnatsakanian:
New Insight into Cycloidal Areas. 598-611 - Richard W. Kenyon, Peter Winkler:
Branched Polymers. 612-628
- Shui-Hung Hou:
On a Theorem of Abel. 629-630 - Jonathan Sondow:
Ramanujan Primes and Bertrand's Postulate. 630-635 - Shawn Hedman, David Rose:
Light Subsets of N with Dense Quotient Sets. 635-641 - Juan Sabia, Susana Tesauri:
The Least Prime in Certain Arithmetic Progressions. 641-643 - Oliver Deiser:
A Simple Continuous Bijection from Natural Sequences to Dyadic Sequences. 643-646
- Christopher J. Hillar:
Problem 11446. 647 - Ovidiu Furdui, Campia Turzii:
Problem 11447. 647 - Wei-Dong Jiang:
Problem 11448. 647 - Michel Bataille:
Problem 11449. 647 - Cosmin Pohoata:
Problem 11450. 647 - Greg Oman:
Problem 11451. 648 - Donald E. Knuth:
Problem 11452. 648
- Roman Witula, Damian Slota, et al.:
An Iteration Convergence: 11318 [2007, 745]. 648-649 - Donald E. Knuth, O. P. Lossers:
Solving a Recurrence by Binary Expansion: 11320 [2007, 835]. 649 - Christopher J. Hillar, Bruce S. Burdick, Roger Williams:
Polynomials Not Associated with Symmetric Matrices: 11321 [2007, 835]. 649-650 - Jonathan Sondow, George Lamb Tucson:
A Double Integral: 11322 [2007, 835]. 650 - Jody M. Lockhart, William P. Wardlaw, O. P. Lossers:
On the Sum of Integer Powers of a Matrix: 11323 [2007, 835]. 650-651 - Martin Kochanski, Richard Stong:
Measuring the Growth Rate of a Bernoulli Polynomial: 11324 [2007, 836]. 651-653 - Finbarr Holland, Michael Vowe:
A Triangle Inequality from 1953: 11325 [2007, 836]. 653-654 - José Luis Díaz-Barrero, Pál Péter Dályay:
A Problem Rescued from Incorrectness: 11326 [2007, 836]. 654-655 - Rick Mabry, Debbie Shepherd, Kenneth Schilling:
A Chancy Function: 11327 [2007, 925]. 655-656 - Dmitris Vartziotis, Michel Bataille:
Van Aubel's Theorem: 11328 [2007, 925]. 656
- Neil Falkner:
Review: Basic Real Analysis by Anthony W. Knapp; Advanced Real Analysis by Anthony W. Knapp. 657-664
Volume 116, Number 8, October 2009
- Zajj Daugherty, Alexander K. Eustis, Gregory Minton, Michael E. Orrison:
Voting, the Symmetric Group, and Representation Theory. 667-687 - Steven V. Sam:
A Bijective Proof for a Theorem of Ehrhart. 688-701 - J. Scott Provan:
Sudoku: Strategy versus Structure. 702-707 - Michael A. Bukatin, Ralph Kopperman, Steve Matthews, Homeira Pajoohesh:
Partial Metric Spaces. 708-718 - Leonard F. Klosinski, Gerald L. Alexanderson, Loren C. Larson:
The Sixty-Ninth William Lowell Putnam Mathematical Competition. 719-726
- Ezra Brown, Nicholas A. Loehr:
Why Is PSL(2, 7) ≅ GL(3, 2)? 727-732 - David V. Feldman, Daniel A. Klain:
Angles as Probabilities. 732-735 - Villo Csiszár:
Jump Home and Shift: An Acyclic Operation on Permutations. 735-738 - Hojoo Lee:
Ptolemy Meets Erdős and Mordell Again. 738-742 - Anca I. Bonciocat, Nicolae C. Bonciocat:
On the Irreducibility of Polynomials with Leading Coefficient Divisible by a Large Prime Power. 743-745
- Michel Bataille:
Problem 11449. 746 - Richard P. Stanley:
Problem 11453. 746 - Azer Kerimov:
Problem 11454. 746 - Christian Blatter:
Problem 11455. 746 - Raymond Mortini:
Problem 11456. 747 - M. L. Glasser:
Problem 11457. 747 - Cezar Lupu:
Problem 11458. 747 - Pál Péter Dályay:
Problem 11459. 747
- Tewodros Amdeberhan, Victor H. Moll, Hongwei Chen:
Two Log Gamma Integrals: 11329 [2007, 925]. 747-748 - Marian Tetiva, João Guerreiro:
A New Lower Bound for the Sum of the Altitudes: 11330 [2007, 925]. 748-749 - Marian Tetiva, Peter Nüesch:
A Bisector Inequality: 11337 [2008, 71]. 749-750 - Ovidiu Furdui, O. P. Lossers:
A Gamma Limit: 11338 [2008, 71]. 750 - Óscar Ciaurri, Luz Roncal, Nora Thornber:
Raindrops Flying from a Spinning Umbrella: 11340 [2008, 72]. 750-752 - Cezar Lupu, Marian Tetiva:
An Application of Popovidu's Inequality: 11341 [2008, 166]. 752-753 - Roger Cuculière, Richard Stong:
A Functional Equation: 11345 [2008, 166]. 753
- Judy A. Holdener:
Review: Roots to Research: A Vertical Development of Mathematical Problems by Judith D. Sally; Paul J. Sally, . 754-758
Volume 116, Number 9, November 2009
- Mike Paterson, Yuval Peres, Mikkel Thorup, Peter Winkler, Uri Zwick:
Maximum Overhang. 763-787 - Persi Diaconis, Jason Fulman:
Carries, Shuffling, and an Amazing Matrix. 788-803 - Luis Verde-Star:
Rational Functions. 804-827
- Theo De Jong:
Lagrange Multipliers and the Fundamental Theorem of Algebra. 828-830 - David M. Einstein, Christopher Carl Heckman, Timothy S. Norfolk:
On Sara's Dove Bar Habit. 831-835 - Bakir Farhi:
An Identity Involving the Least Common Multiple of Binomial Coefficients and Its Application. 836-839 - Valerio De Angelis:
Stirling's Series Revisited. 839-843
- Cosmin Pohoata:
Problem 11460. 844 - Panagiote Ligouras:
Problem 11461. 844 - Nadezhda Alexandrova:
Problem 11462. 844 - Xiang Qian Chang:
Problem 11463. 844 - David Beckwith:
Problem 11464. 845 - Pantelimon George Popescu:
Problem 11465. 845 - Yongge Tian:
Problem 11466. 845
- Richard Bagby, David Beckwith, Sag Harbor, Douglas B. Tyler:
A Weighted Sample of the Riemann Zeta Function: 11331 [2007, 926]. 845-846 - Roberto Tauraso, Kenneth Schilling:
Irrational Symmetry: 11332 [2007, 926]. 846-847 - Pablo Fernández Refolio, John B. Zacharias:
Baking a Pi with Factorials: 11333 [2007, 926]. 847 - Jonathan Bober, Jeffrey C. Lagarias, Byron Schmuland:
Very Composite Numbers: 11334 [2008, 71]. 847-848 - Donald E. Knuth, et al.:
Near-deBruijn Cycles: 11336 [2008, 71]. 848-849 - Mihály Bencze, Julien Grivaux:
More AGM Inequalities: 11347 [2008, 167]. 849-851
- Victor J. Katz:
Mathematical Masterpieces: Further Chronicles by the Explorers by Arthur Knoebel; Reinhard Laubenbacher; Jerry Lodder; David Pengelley. 852-856 - Daniel J. Velleman:
Editor's Endnotes. 857-858
Volume 116, Number 10, December 2009
- Volume Information.
- Peter D. Lax:
Rethinking the Lebesgue Integral. 863-881 - Reinhard C. Laubenbacher, Bernd Sturmfels:
Computer Algebra in Systems Biology. 882-891 - Bob Palais, Richard Palais, Stephen Rodi:
A Disorienting Look at Euler's Theorem on the Axis of a Rotation. 892-909 - Bettina Richmond, Tom Richmond:
How to Recognize a Parabola. 910-922
- Robert Beals:
On Orders of Subgroups in Abelian Groups: An Elementary Solution of an Exercise of Herstein. 923-926 - Alexander E. Holroyd, Terry Soo:
A Nonmeasurable Set from Coin Flips. 926-928 - John Brillhart:
A Note on Euler's Factoring Problem. 928-931 - Joseph B. Keller, Ravi Vakil:
the Value of π in. 931-935 - Lucio R. Berrone:
The Associativity of the Pythagorean Law. 936-939
- Xiang Qian Chang:
Problem 11467. 940 - Cosmin Pohoata:
Problem 11468. 940 - Slavko Simic:
Problem 11469. 940 - Marian Tetiva:
Problem 11470. 941 - Finbarr Holland:
Problem 11471. 941 - Mahdi Makhul:
Problem 11472. 941 - Paolo Perfetti:
Problem 11473. 941
- Juan López González, O. P. Lossers:
Multiples of 6 Whose Successors Have Greater Divisor Sum: 11335 [2008, 71]. 941-942 - José Luis Díaz-Barrero, Mihai Cipu:
A Fibonacci Inequality: 11339 [2008, 72]. 942-943 - Luis H. Gallardo, Sam Vandervelde:
A Square in a Finite Field: 11342 [2008, 166]. 943-944 - David Beckwith, et al.:
The Number of Balanced Senates from n States: 11343 [2008, 166]. 944-945 - Albert Stadler, Allen Stenger:
A Möbius Function Identity: 11344 [2008, 166]. 945-946 - Errata and End Notes for 2008. 947
- Michael Henle:
Review: Music: A Mathematical Offering by David J. Benson; Musimathics: The Mathematical Foundations of Music by Gareth Loy. 948-955
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