The American Mathematical Monthly, Volume 113

Volume 113, Number 1, January 2006

• 
  Andrew Granville, Greg Martin:
  Prime Number Races. 1-33
• 
  John W. Hagood, Brian S. Thomson:
  Recovering a Function from a Dini Derivative. 34-46
• 
  Marc Frantz:
  Some Graphical Solutions of the Kepler Problem. 47-56

Notes

• 
  Henry Cohn:
  A Short Proof of the Simple Continued Fraction Expansion of. 57-62
• 
  Thomas J. Osler:
  A Proof of the Continued Fraction Expansion of 1/M. 62-66
• 
  Xiongping Dai:
  Continuous Differentiablity of Solutions of ODEs with Respect to Initial Conditions. 66-70
• 
  Stephen P. Boyd, Persi Diaconis, Jun Sun, Lin Xiao:
  Fastest Mixing Markov Chain on a Path. 70-74

The Evolution of...

• 
  Pawel Strzelecki, Abe Shenitzer:
  The Poincaré Conjecture? 75-78

Problems and Solutions

• 
  Folkmar Bornemann:
  Problem 11194. 79
• 
  Marian Tetiva:
  Problem 11195. 79
• 
  Mohammad Hossein Mehrabi:
  Problem 11196. 79
• 
  Oleg Faynshteyn:
  Problem 11197. 79
• 
  P. R. Parthasarathy:
  Problem 11198. 79
• 
  Aliyev Yakub:
  Problem 11199. 80
• 
  Joel Zinn:
  Problem 11200. 80

Solutions

• 
  Amol J. Sasane, Robin Chapman:
  Diagonals of a Regular Polygon: 10924. 80-81
• 
  Nick MacKinnon, Kenneth Schilling:
  Optimal Strategy for a Number-Guessing Game: 11051. 81-82
• 
  C. T. Stretch, et al.:
  A Point with Given Distances: 11057. 82-83
• 
  Mark Bowron, Bruce S. Burdick:
  Closure, Complement, and Union: 11059. 83
• 
  Roberto Tauraso, Richard Stong:
  Commuting Analytic Maps: 11070. 83-84
• 
  Matthias Beck, Jesús A. De Loera, Mike Develin, Julian Pfeifle:
  Some Linear Recurrences: 11085. 84-85
• 
  Richard Holzsager, Anton R. Schep:
  Rearranged Series: 11088. 85
• 
  Michel Bataille, O. P. Lossers:
  Simple Roots for Polynomials: 11094. 85-86

Reviews

• 
  Charles Radin:
  The Pursuit of Perfect Packing by Tomaso Aste; Denis Weaire; Kelper's Conjecture by George G. Szpiro. 87-90
• 
  Shandelle M. Henson:
  Complexities: Women in Mathematics by Bettye Anne Case; Anne M. Leggett. 91-93

Volume 113, Number 2, February 2006

• 
  Jeffrey C. Lagarias:
  Wild and Wooley Numbers. 97-108
• 
  Alejo Blaya, Víctor Jiménez López:
  Is Trivial Dynamics That Trivial? 109-133
• 
  Vladimir Pozdnyakov, Martin Kulldorff:
  Waiting Times for Patterns and a Method of Gambling Teams. 134-143
• 
  Louis A. Talman:
  Simpson's Rule Is Exact for Quintics. 144-155

Notes

• 
  Herbert A. Medina:
  A Sequence of Polynomials for Approximating Arctangent. 156-161
• 
  Reinhard Diestel, Carsten Thomassen:
  A Cantor-Bernstein Theorem for Paths in Graphs. 161-165
• 
  John Konvalina, Jack Heidel, Jim Rogers:
  A Mean Paradox. 166-169
• 
  Enrique Arrondo:
  Another Elementary Proof of the Nullstellensatz. 169-171
• 
  P. L. Robinson:
  The Sphere Is Not Flat. 171-173
• 
  Daniel J. Velleman:
  A Note on λ-Permutations. 173-178

Problems and Solutions

• 
  Robert Russell:
  Problem 11201. 179
• 
  Grahame Bennett:
  Problem 11202. 179
• 
  Fuxiang Yu:
  Problem 11203. 179
• 
  Christopher J. Hillar:
  Problem 11204. 179
• 
  Wu Wei Chao, Guang Zhou:
  Problem 11205. 179
• 
  Mircea Ivan, Alexandru Lupas:
  Problem 11206. 180
• 
  Michael W. Botsko:
  Problem 11207. 180

Solutions

• 
  Andrei Jorza, Edward T. Ordman, Richard Stong:
  No Three Faces with the Same Number of Edges: 10856. 180-183
• 
  Danrun Huang, Daniel Scully, Achava Nakhash, Karl David:
  The Limit of a Set-Valued Process: 11052. 183
• 
  Vicentiu D. Radulescu, Richard Stong:
  An Example With Periodic Orbits: 11073. 184-186
• 
  Christopher J. Hillar, Darren L. Rhea, Godfrey L. Isaacs:
  An Oldie: 11098. 186

Review

• 
  David E. Zitarelli:
  R. L. Moore: Mathematician and Teacher by John Parker. 187-192

Volume 113, Number 3, March 2006

• 
  Wayne Roberts:
  Yueh-Gin Gung and Dr. Charles Y. Hu Award to Hyman Bass for Distinguished Service to Mathematics. 193-195
• 
  David Pengelley, Fred Richman:
  Did Euclid Need the Euclidean Algorithm to Prove Unique Factorization? 196-205
• 
  Lluiotas Bibiloni, Pelegriota Viader, Jaume Paradiotas:
  On a Series of Goldbach and Euler. 206-220
• 
  Rajendra Bhatia:
  Infinitely Divisible Matrices. 221-235
• 
  Harold P. Boas:
  Reflections on the Arbelos. 236-249

Notes

• 
  Robert E. Hartwig:
  Note on a Linear Difference Equation. 250-256
• 
  Lech Maligranda:
  Simple Norm Inequalities. 256-260
• 
  Alexander Givental:
  The Pythagorean Theorem: What Is It About? 261-265
• 
  YiChuan Yang:
  A Lattice-Ordered Skew Field Is Totally Ordered If Squares Are Positive. 265-266

Problems and Solutions

• 
  Li Zhou:
  Problem 11208. 267
• 
  Alexander Dubinov, Irina Dubinova:
  Problem 11209. 267
• 
  Michael S. Becker:
  Problem 11210. 267
• 
  Mihály Bencze:
  Problem 11211. 268
• 
  David Beckwith:
  Problem 11212. 268
• 
  Stanley Rabinowitz:
  Problem 11213. 268
• 
  Solomon W. Golomb:
  Problem 11214. 268

Solutions

• 
  Richard Bagby, et al.:
  Differentiable Distance: 11093. 268-269
• 
  Vasile Mihai, O. P. Lossers:
  Trapezoid Inscribed in Ellipse: 11095. 269
• 
  Calin Popescu, Richard Stong:
  A Subset-Sum Inequality: 11100. 269-270
• 
  Earl F. Skelton, Zoltán Vörös:
  An Inverse Tangent Integral: 11101. 270-271
• 
  Vicentiu D. Radulescu, et al.:
  Periodic Solution of a Differential Equation: 11104. 271-273
• 
  Juan-Bosco Romero Márquez, Rick Luttmann, Miguel de Guzman, G. Donald Chakerian, Li Zhou:
  Cevians and Centroids: 11105. 273-274
• 
  Michel Émery, et al.:
  A Sum Inequality: 11107. 274
• 
  Marius Ghergu, et al.:
  Set Inclusion and Density: 11110. 274

Reviews

• 
  Michael Beeson:
  A Tour through Mathematical Logic by Robert S. Wolf. 275-280

Volume 113, Number 4, April 2006

• 
  Óscar Martín:
  Look-and-Say Biochemistry: Exponential RNA and Multistranded DNA. 289-307
• 
  Jasbir S. Chahal:
  Congruent Numbers and Elliptic Curves. 308-317
• 
  Jeremy Gibbons:
  Unbounded Spigot Algorithms for the Digits of Pi. 318-328
• 
  Bennet Vance:
  Counting Ordered Trees by Permuting Their Parts. 329-335

Notes

• 
  Nils Abramson, Jan Boman, Björn Bonnevier:
  Plane Intersections of Rotational Ellipsoids. 336-339
• 
  Oleg Mushkarov, Nikolai Nikolov:
  Semiregular Polygons. 339-344
• 
  R. B. Burckel:
  Fubinito (Immediately) Implies FTA. 344-347
• 
  T. W. Körner:
  On the Fundamental Theorem of Algebra. 347-348
• 
  Paul Melvin:
  A Topological Menagerie. 348-351
• 
  Eberhard Knobloch:
  Mathesis Perennis: Mathematics in Ancient, Renaissance, and Modern Times. 352-365

Problems and Solutions

• 
  Shmuel Rosset:
  Problem 11215. 366
• 
  Ted Chinburg, Shahriar Shahriari:
  Problem 11216. 366
• 
  Michel Bataille:
  Problem 11217. 366
• 
  Gary Gordon:
  Problem 11218. 366-367
• 
  R. A. Strubel:
  Problem 11219. 367
• 
  David Beckwith:
  Problem 11220. 367
• 
  Paolo Perfetti:
  Problem 11221. 367

Solutions

• 
  Dimiter Skordev, Gerry Myerson:
  An Impossible Difference Condition: 11074. 367-368
• 
  Donald E. Knuth, Robin Chapman:
  Cube-Free Sums: 11078. 368-369
• 
  Brian Cook, James Whitenton, Richard Stong:
  A Complex Identity: 11079. 369-370
• 
  Wu Wei Chao, et al.:
  A Divisibility Problem: 11082. 370-371
• 
  William P. Wardlaw, Jean-Pierre Grivaux:
  The Null Ideal of a Matrix: 11083. 371
• 
  H. A. ShahAli, Timothy D. LeSaulnier:
  Finding a Repeated Difference: 11084. 371-372
• 
  Stephen C. Locke, Richard Stong:
  Coloring Graphs with Few Odd Cycles: 11086. 372
• 
  Florian Luca, John Ferdinands:
  Sometimes Divides σk(): 11090. 372-373
• 
  Arturo Magidin, John Cade:
  The Order of a Product of Group Elements: 11092. 373

Reviews

• 
  Paul G. Goerss:
  Topology: A Geometric Approach by Terry Lawson. 374-377
• 
  Carol Wood:
  Alfred Tarski: Life and Logic by Anita Burdman Feferman; Solomon Feferman. 377-379
• 
  Ludwig Elsner:
  Geršgorin and His Circles by Richard S. Varga. 379-381

Volume 113, Number 5, May 2006

• 
  Michael J. Mossinghoff:
  A $1 Problem. 385-402
• 
  Le Baron O. Ferguson:
  What Can Be Approximated by Polynomials with Integer Coefficients. 403-414
• 
  Marcelo Sobottka, Luiz P. L. de Oliveira:
  Periodicity and Predictability in Chaotic Systems. 415-424
• 
  José A. Adell, Alberto Lekuona:
  The Simplest Example of a Normal Asymptotic Expansion. 425-442

Notes

• 
  Mowaffaq Hajja:
  The Arbitrariness of the Cevian Triangle. 443-447
• 
  Gilbert Helmberg:
  Curiosities concerning Weak Topology in Hilbert Space. 447-452
• 
  Hei-Chi Chan:
  More Formulas for π. 452-455
• 
  Detlef Gröger:
  On Gauss's Entry from January 6, 1809. 455-458

Problems and Solutions

• 
  Jonathan Sondow:
  Problem 11222. 459
• 
  Christopher J. Hillar, Lionel Levine:
  Problem 11123. 459
• 
  Dietrich Trenkler, Götz Trenkler:
  Problem 11224. 459
• 
  José Luis Díaz-Barrero:
  Problem 11225. 459
• 
  Franck Beaucoup, Tamás Erdélyi:
  Problem 11226. 460
• 
  Syrous Marivani:
  Problem 11227. 460
• 
  Marian Tetiva:
  Problem 11228. 460

Solutions

• 
  Emeric Deutsch, Marc Renault:
  A Variation on t-Catalan Paths: 11071. 460-461
• 
  David Callan, et al.:
  The Maximum Associativeness of Division: 11091. 462-463
• 
  Saïd Amghibech, José Heber Nieto:
  An Application of Newton's Identities: 11096. 463-464
• 
  Kevin Ford, Robin Chapman:
  Ratio of Consecutive Divisors: 11097. 464
• 
  Matthias Beck, Richard Ehrenborg, Thomas Zaslavsky, Michael Avidon, John H. Lindsey II:
  Magic Squares and Nontransitive Dice: 11099. 464-465
• 
  Gregory Galperin, Hillel Gauchman, Jany C. Binz:
  Another Summation Identity Involving Binomial Coefficients: 11103. 465-466
• 
  Emeric Deutsch, José Heber Nieto:
  Counting Elevated Schröder Paths: 11108. 466-467
• 
  Pál Péter Dályay, et al.:
  Periodic Solution to a Functional Equation: 11111. 467
• 
  Yongge Tian:
  On the Inverse of a Product of Orthogonal Projectors: 11112. 467-468

Reviews

• 
  Jeffrey Nunemacher:
  Prime Obsession by John Derbyshire; Stalking the Riemann Hypothesis by Dan Rockmore. 469-473

Volume 113, Number 6, June - July 2006

• 
  David H. Bailey, Jonathan M. Borwein, Vishaal Kapoor, Eric W. Weisstein:
  Ten Problems in Experimental Mathematics. 481-509
• 
  Aaron Levin:
  A Geometric Interpretation of an Infinite Product for the Lemniscate Constant. 510-520
• 
  Tom M. Apostol, Mamikon A. Mnatsakanian:
  Solids Circumscribing Spheres. 521-540

Notes

• 
  Filip Saidak:
  On Goldbach's Conjecture for Integer Polynomials. 541-545
• 
  Peter Shiu:
  Moment Sums Associated with Binary Linear Forms. 545-550
• 
  Jerry J. Koliha:
  A Fundamental Theorem of Calculus for Lebesgue Integration. 551-555
• 
  Carlos D'Andrea, Emiliano Gómez:
  The Broken Spaghetti Noodle. 555-557
• 
  Alan F. Beardon:
  Contractions of the Real Line. 557-558

The Evolution of...

• 
  Boris A. Kushner:
  The Constructive Mathematics of A. A. Markov. 559-566

Problems and Solutions

• 
  Ovidiu Furdui:
  Problem 11229. 567
• 
  Gregory Keselman:
  Problem 11230. 567
• 
  Christopher J. Hillar:
  Problem 11231. 567
• 
  Michael W. Botsko:
  Problem 11232. 567
• 
  Robert Downes:
  Problem 11233. 568
• 
  Jim Brennan, Richard Ehrenborg:
  Problem 11234. 568
• 
  Lenny Jones, Rachel Keller:
  Problem 11235. 568

Solutions

• 
  Stanley Rabinowitz, Roberto Tauraso:
  One from 1995: 10483. 568-569
• 
  Joel Zinn, Gagik Amirkhanyan:
  Related Divergent Series: 11076. 569-571
• 
  Sung Soo Kim, C. Ray Rosentrater:
  Another Stick-Breaking Game: 11089. 571-572
• 
  Leroy Quet, Peter Ørno:
  A Continued Fraction Related to π: 11102. 572-573
• 
  Solomon W. Golomb, Pat Costello:
  A Consequence of Dirichlet's Theorem: 11109. 573