The American Mathematical Monthly, Volume 117

Volume 117, Number 1, January 2010

Articles

• 
  Aaron Abrams, Skip Garibaldi:
  Finding Good Bets in the Lottery, and Why You Shouldn't Take Them. 3-26
• 
  Deborah E. Berg, Serguei Norine, Francis Edward Su, Robin Thomas, Paul Wollan:
  Voting in Agreeable Societies. 27-39
• 
  Christopher Hardin:
  Agreement in Circular Societies. 40-49
• 
  Barry Lewis:
  Revisiting the Pascal Matrix. 50-66

Notes

• 
  Mircea I. Cirnu:
  Newton's Identities and the Laplace Transform. 67-71
• 
  Kurt Girstmair:
  Farey Sums and Dedekind Sums. 72-78
• 
  Friedrich Pillichshammer:
  Euler's Constant and Averages of Fractional Parts. 78-83
• 
  Richard Bagby:
  A Simple Proof that Γ'(1) = -γ. 83-85

Problems and solutions

• 
  Problems and Solutions. 86-93

Reviews

• 
  Amir Alexander:
  Review: The Shape of Content: Creative Writing in Mathematics and Science by Chandler Davis; Marjorie Wikler Senechal; Jan Zwicky. 94-96

Volume 117, Number 2, February 2010

Articles

• 
  Natalie Priebe Frank, Sean M. Hart:
  A Dynamical System Using the Voronoï Tessellation. 99-112
• 
  David Sherman:
  Variations on Kuratowski's 14-Set Theorem. 113-123
• 
  Tamás Keleti, Elliot Paquette:
  The Trouble with von Koch Curves Built from ngons. 124-137
• 
  Lutz Dümbgen, Sara A. van de Geer, Mark Veraar, Jon A. Wellner:
  Nemirovski's Inequalities Revisited. 138-160

Notes

• 
  John E. Wetzel:
  An Ancient Elliptic Locus. 161-167
• 
  Lara Pudwell, Eric S. Rowland:
  Counting Interesting Elections. 167-174
• 
  Sam B. Nadler Jr.:
  A Proof of Darboux's Theorem. 174-175
• 
  Emmanuel Lesigne:
  On the Behavior at Infinity of an Integrable Function. 175-181

Problems and solutions

• 
  Problems and Solutions. 182-189

Reviews

• 
  Daniel S. Silver:
  Review: Tools of American Mathematics Teaching, 1800-2000 by Peggy Aldrich Kidwell; Amy Ackerberg-Hastings; David Lindsay Roberts. 190-192

Volume 117, Number 3, March 2010

Articles

• 
  Barbara Faires:
  Yueh-Gin Gung and Dr. Charles Y. Hu Award for 2010 to Kenneth A. Ross for Distinguished Service to Mathematics. 195-197
• 
  Marvin J. Greenberg:
  Old and New Results in the Foundations of Elementary Plane Euclidean and Non-Euclidean Geometries. 198-219
• 
  David A. Levin, Yuval Peres:
  Pólya's Theorem on Random Walks via Pólya's Urn. 220-231
• 
  Alexander Borisov, Mark Dickinson, Stuart Hastings:
  A Congruence Problem for Polyhedra. 232-249
• 
  Jan Hilmar, Chris Smyth:
  Euclid Meets Bézout: Intersecting Algebraic Plane Curves with the Euclidean Algorithm. 250-260

Notes

• 
  Jun Tanaka, Peter F. McLoughlin:
  A Realization of Measurable Sets as Limit Points. 261-266
• 
  Dan McQuillan, R. Bruce Richter:
  A Parity Theorem for Drawings of Complete and Complete Bipartite Graphs. 267-273
• 
  Sanjay Kumar Khattri:
  Three Proofs of the Inequality e < (1 + (1/n))^n+0.5. 273-277

Problems and solutions

• 
  Problems and Solutions. 278-285

Review

• 
  Anil Nerode:
  Review: Alfred Tarski: Life and Logic by Anita Burdman Feferman; Solomon Feferman. 286-288

Volume 117, Number 4, April 2010

Articles

• 
  Adrian Rice:
  "To a Factor prés": Cayley's Partial Anticipation of the Weierstrass γ-Function. 291-302
• 
  Geoffrey Pearce:
  Transitive Decompositions of Graphs and Their Links with Geometry and Origami. 303-310
• 
  Warren P. Johnson:
  Trigonometric Identities à la Hermite. 311-327
• 
  David Burton, John Coleman:
  Quasi-Cauchy Sequences. 328-333
• 
  Grahame Bennett:
  p-Free ℓ^p Inequalities. 334-351

Notes

• 
  Timothy Marshall:
  A Short Proof of ζ(2) = π²/6. 352-353
• 
  So-Eun Park:
  The Group of Symmetries of the Tower of Hanoi Graph. 353-360
• 
  Li Zhou, Lubomir Markov:
  Recurrent Proofs of the Irrationality of Certain Trigonometric Values. 360-362
• 
  John Curran:
  Groups of Cube-Free Odd Order. 363-365
• 
  Mark Kozek:
  An Asymptotic Formula for Goldbach's Conjecture with Monic Polynomials in ℤ[x]. 365-369

Problems and solutions

• 
  Problems and Solutions. 370-377

Reviews

• 
  Sanford L. Segal:
  Review: Plato's Ghost: The Modernist Transformation of Mathematics by Jeremy Gray. 378-380

Volume 117, Number 5, May 2010

Articles

• 
  Matthew Richey:
  The Evolution of Markov Chain Monte Carlo Methods. 383-413
• 
  A. B. Kharazishvili, T. Sh. Tetunashvili:
  On Some Coverings of the Euclidean Plane with Pairwise Congruent Circles. 414-423
• 
  Sherman Stein:
  Transversals in Rectangular Arrays. 424-433
• 
  Cristinel Mortici:
  Product Approximations via Asymptotic Integration. 434-441

Notes

• 
  Francisco J. Freniche:
  On Riemann's Rearrangement Theorem for the Alternating Harmonic Series. 442-448
• 
  Richard Steiner:
  Modular Divisor Functions and Quadratic Reciprocity. 448-451
• 
  Peter R. Mercer:
  Another Application of Siebeck's Theorem. 452-454
• 
  Alan C. Lazer, Mark Leckband:
  The Fundamental Theorem of Algebra via the Fourier Inversion Formula. 455-457

Problems and solutions

• 
  Problems and Solutions. 458-465

Reviews

• 
  Carol S. Schumacher:
  Review: Elementary Functional Analysis. by Barbara D. MacCluer. 466-468

Editor's Endnotes

• 
  Editor's Endnotes. 469-470

Volume 117, Number 6, June-July 2010

Articles

• 
  James T. Smith:
  Definitions and Nondefinability in Geometry. 475-489
• 
  Hartmut Logemann, Eugene P. Ryan:
  Volterra Functional Differential Equations: Existence, Uniqueness, and Continuation of Solutions. 490-511
• 
  Stan Gudder:
  Finite Quantum Measure Spaces. 512-527
• 
  David Borwein, Jonathan M. Borwein, Isaac E. Leonard:
  L_p Norms and the Sinc Function. 528-539

Notes

• 
  John H. Elton:
  Indefinite Quadratic Forms and the Invariance of the Interval in Special Relativity. 540-547
• 
  Brian S. Thomson:
  Monotone Convergence Theorem for the Riemann Integral. 547-550
• 
  Marco Manetti:
  A Proof of a Version of a Theorem of Hartogs. 550-552
• 
  Timothy W. Jones:
  Discovering and Proving that π Is Irrational. 553-557

Problems and solutions

• 
  Problems and Solutions. 558-565

Reviews

• 
  Charles R. Hampton:
  Review: Mathematical Modeling: A Case Studies Approach. by Reinhard Illner; C. Sean Bohum; Samantha McCollum; Thea van Roode. 566-568

Volume 117, Number 7, August 2010

Articles

• 
  William Cavendish, John H. Conway:
  Symmetrically Bordered Surfaces. 571-580
• 
  Sam Northshield:
  Stern's Diatomic Sequence 0, 1, 1, 2, 1, 3, 2, 3, 1, 4, ... 581-598
• 
  Peter J. Olver:
  Dispersive Quantization. 599-610
• 
  Thomas Stoll:
  A Fancy Way to Obtain the Binary Digits of 759250125√2. 611-617
• 
  Tewodros Amdeberhan, Olivier Espinosa, Victor H. Moll, Armin Straub:
  Wallis-Ramanujan-Schur-Feynman. 618-632

Notes

• 
  Mike Krebs, Thomas Wright:
  On Cantor's First Uncountability Proof, Pick's Theorem, and the Irrationality of the Golden Ratio. 633-637
• 
  Filip Najman:
  The Diophantine Equation x⁴ ± y⁴ = iz² in Gaussian Integers. 637-641
• 
  Christopher Frayer, James A. Swenson:
  Polynomial Root Motion. 641-646
• 
  Aviezri S. Fraenkel:
  From Enmity to Amity. 646-648

Problems and solutions

• 
  Problems and Solutions. 649-656

Reviews

• 
  Peter Sin:
  Review: Finite Group Theory. by I. Martin Isaacs. 657-660

Volume 117, Number 8, October 2010

Articles

• 
  Gerald B. Folland:
  A Tale of Topology. 663-672
• 
  Jack S. Calcut:
  Grade School Triangles. 673-685
• 
  Mark A. Conger, Jason Howald:
  A Better Way to Deal the Cards. 686-700
• 
  Tom M. Apostol, Mamikon A. Mnatsakanian:
  Tanvolutes: Generalized Involutes. 701-713
• 
  Leonard F. Klosinski, Gerald L. Alexanderson, Loren C. Larson:
  The Seventieth William Lowell Putnam Mathematical Competition. 714-721

Notes

• 
  Alin Bostan, Philippe Dumas:
  Wronskians and Linear Independence. 722-727
• 
  Abbas Alhakim:
  A Simple Combinatorial Algorithm for de Bruijn Sequences. 728-732
• 
  Albert Nijenhuis:
  Short Gamma Products with Simple Values. 733-737
• 
  Miyeon Kwon:
  Dimension, Linear Functionals, and Norms in a Vector Space. 738-740

Problems and solutions

• 
  Problems and Solutions. 741-748

Reviews

• 
  Marion Deutsche Cohen:
  Review: Graph Theory: A Problem Oriented Approach: The Mathematical Association of America, Washington D.C., 2008, xvi + 205 pp., ISBN 978-0-88385-753-3, $55.50. by Daniel A. Marcus. 749-753

Volume 117, Number 9, November 2010

Articles

• 
  Francis Edward Su:
  Teaching Research: Encouraging Discoveries. 759-769
• 
  Harold P. Boas:
  Julius and Julia: Mastering the Art of the Schwarz Lemma. 770-785
• 
  Taras O. Banakh, Oleg Verbitsky, Yaroslav Vorobets:
  Fermat's Spiral and the Line Between Yin and Yang. 786-800
• 
  Karel Hrbacek, Olivier Lessmann, Richard O'Donovan:
  Analysis with Ultrasmall Numbers. 801-816

Notes

• 
  Hendrik Lenstra:
  Irreducible Cubics Modulo Five. 817-821
• 
  Mateusz Michalek:
  A Short Proof of Combinatorial Nullstellensatz. 821-823
• 
  Sam H. Creswell:
  A Continuous Bijection from ℓ² onto a Subset of ℓ² Whose Inverse Is Everywhere Discontinuous. 823-828
• 
  Nicolae Anghel:
  On a Question of Connes and Zagier Regarding Parallelograms Inscribed in a Pair of Confocal Ellipses. 828-831
• 
  Stephen M. Walk:
  A Streamlined Proof of an Essential Calculus Fact. 832-833

Problems and solutions

• 
  Problems and Solutions. 834-843

Reviews

• 
  Rebecca F. Goldin:
  Review: Statistical Models: Theory and Practice (Revised Edition). Cambridge University Press, New York, New York, 2009, xiv + 442 pp., ISBN 978-0-521-74385-3, $40. by David A. Freedman. 844-847

Volume 117, Number 10, December 2010

Articles

• 
  Frank A. Farris:
  The Gini Index and Measures of Inequality. 851-864
• 
  Gary Gordon, Elizabeth W. McMahon:
  Moving Faces to Other Places: Facet Derangements. 865-880
• 
  Oleg A. Ivanov:
  On the Number of Regions into Which n Straight Lines Divide the Plane. 881-888
• 
  Joel Langer, David A. Singer:
  When Is a Curve an Octahedron? 889-902
• 
  Monique Laurent, Alexander Schrijver:
  On Leonid Gurvits's Proof for Permanents. 903-911

Notes

• 
  Jonathan Sondow, Huang Yi:
  New Wallis- and Catalan-Type Infinite Products for α, e and. 912-917
• 
  Nadish de Silva:
  A Concise, Elementary Proof of Arzelà's Bounded Convergence Theorem. 918-920
• 
  Mihály Bessenyei:
  Functional Equations and Finite Groups of Substitutions. 921-927
• 
  Shibo Liu:
  On the Regularity of Operators Near a Regular Operator. 927-928

Problems and solutions

• 
  Problems and Solutions. 929-936

Reviews

• 
  Ethan Akin:
  Review: Proof and Other Dilemmas: Mathematics and Philosophy Mathematical Association of America, Washington, DC, 2008, xxxii + 346 pp., ISBN 978-0-88385-567-6, $53.95. by Bonnie Gold; Roger A. Simons. 937-940