THE MATHEMATICAL INTELLIGENCER Vol. 33 2011
SPIS TREŚCI
nr 1
ARTICLES 46 Interview with Professor Ngo Bao Chau / Neal Koblitz 61 Cooking the Classics / Ian Stewart 72 The Problem of Malfatti: Two Centuries of Debate / Marco Andreatta, Andras Bezdek, Jan P. Boronski 85 Benford's Law Strikes Back: No Simple Explanation in Sight for Mathematical Gem / Arno Berger, Theodore P. Hill 92 Associative Binary Operations and the Pythagorean Theorem / Denis Bell
DEPARTMENTS 1 LETTER / Jean-Michel Kantor
NOTE 2 Young Gauss meets dynamical systems / Constantin P. Niculescu 77 Spinoza and the icosahedron / Eugene A. Katz
VIEWPOINT 5 One, two, many: individuality and collectivity in mathematics / Melvyn B. Nathanson 9 Analyzing massively collaborative mathematics projects / Dinesh Sarvate, Susanne Wetzel, Wayne Patterson 19 Numbers as moments of multisets: a new old formulation of arithmetic / Ivor Grattan-Guinness 30 Mathematically Bent. Hardy and Ramanujan / Colin Adams 33 Mathematical Entertainments. Mathematical vanity plates / Donald E. Knuth 51 Mathematical Communities. Martin Gardner (1914 2010) / Marjorie Senechal 55 Years Ago. Puzzles and paradoxes and their (sometimes) profounder implications / David E. Rowe 78 Mathematical Tourist. The geometry of Christopher Wren and Robert Hooke: a walking tour in London / Maria Zack
REVIEWS 96 A disappearing number by Complicite / Reviewed Mary W. Gray 99 The world of Maria Gaetana Agnesi, mathematician of god by Massimo Mazzotti / Reviewed J. B. Shank 105 Deciphering the cosmic number: The strange friendship of Wolfgang Pauli and Carl Jung by Arthur I. Miller / Reviewed Gunther Neumann 108 Introduction to grid computing (numerical analysis and scientific computing series) by Frederic Magoules, Jie Pan, Kiat An Tan, and Abhinit Kumar / Reviewed Juha Haataja 109 Mathletics how gamblers, managers, and sports enthusiasts use mathematics in baseball, basketball, and football by Wayne L. Winston / Reviewed Ronald Gould 111 Mathematics in games, sports, and gambling the games people play by Ronald J. Gould / Reviewed Wayne L. Winston
STAMP CORNER 112 Recent mathematical stamps: 2006 / Robin Wilson nr 2
ARTICLES 7 A Fractal Version of the Pinwheel Tiling New surprises from the surprising pinwheel tiling / Natalie Priebe Frank and Michael F. Whittaker 22 Min Matrices and Mean Matrices. An innocent integer matrix leads backward to Cauchy and forward to modern probability theory / Rajendra Bhatia 29 Lost and Found: An Unpublished £(2) Proof. This Euler argument has hitherto gone unpublished, for a very good reason / Paul Levrie 42 John von Neumann, the Mathematician. Lest we forget. .not that we need reminding! / Domokos Szasz 52 The 1958 Pekeris Accad WEIZAC Ground Breaking Collaboration that Computed Ground States of Two Electron Atoms (and its 2010 Redux). The pioneers did not have it easy / Christoph Koutschan, Doron Zeilberger
DEPARTMENTS NOTES 1 The fundamental theorem of algebra: an elementary and direct proof / Oswaldo Rio Branco de Oliveira 3 One line proof of the am gm inequality / O. A. S. Karamzadeh
VIEWPOINT 4 Finance and mathematics: a lack of debate / Jonathan Korman
MATHEMATICALLY BENT 18 CSI: MSRI / Colin Adams
MATHEMATICAL ENTERTAINMENTS 33 Minimizing the footprint of your laptop (on your bedside table) / Burkard Polster
YEARS AGO 36 Personal reflections on dirk Jan Struik / Joseph W. Dauben
MATHEMATICAL TOURIST 58 Mathematical flavor of southwestern moscow / Natasha Rozhkovskaya
REVIEWS 62 Einstein's unification / Jeroen van Dongen Reviewed, N. P. Landsman 65 Here's looking at euclid: a surprising excursion through the astonishing world of math / Alex Bellas, John J. Watkins 68 Duel at dawn: heroes, martyrs, and the rise of modern mathematics / Amir Alexander, Stepenka Bilovd 70 Putnam and beyond / Rdzvan Gelca, Titu Andreescu, Bogdan D. Suceavd, Jack B. Gaumer 73 THEORIES OF MATHEMATICS EDUCATION: SEEKING NEW FRONTIERS / Bharath Sriraman, Lyn English, Kristin L. Umland 75 Arguments for the existence of GOD / Rebecca Newberger Goldstein, Ulf Persson
STAMP CORNER 78 Recent mathematical stamps: 2007. The Golden Ratio / Robin Wilson nr 3
ARTICLES 84 The Whirling Kites of Isfahan: Geometric Variations on a Theme / Peter R. Cromwell, Elisabetta Beltrami 94 Meissner's Mysterious Bodies / Bernd Kawohl, Christof Weber 110 Oscillatory Sums / Volker Betz, Vassili Gelfreich, Florian Theil 115 Geometry Where Direction Matters—Or Does It? / Horst Martini, Margarita Spirova, Konrad J. Swanepoel 138 Paul Cohen and Forcing in 1963 / Reuben Hersh
DEPARTMENTS LETTER TO THE EDITOR 79 Siobhan Roberts
NOTES 80 Cantor Bernstein's theorem in a semiring / Marcel Crabbe 81 A SIMPLE PROOF THAT ζ (2) = ∏2/6 / Michael D. Hirschhorn
POEMS 83 Mathematica / Laura Eleanor Holloway 106 Statistical Lament (After Joni Mitchell) / Robert J. Mac G. Dawson
MATHEMATICAL ENTERTAINMENTS 102 Creating clueless puzzles / Gerard Butters, Frederick Henle, James Henle, Colleen McGaughey
MATHEMATICALLY BENT 107 The Book / Colin Adams
YEARS AGO 126 Gustav Theodor Fechner: pioneer of the fourth dimension / Hans G. Fellner, William F. Lindgren
MATHEMATICAL TOURIST 141 James Stirling: mathematician and mine manager / Pieter Maritz
REVIEWS 148 Le dossier pythagore. Du chamanisme à la mécanique quantique by Pierre Brémaud / Reviewed by Takis Konstantopoulos 151 The music of pythagoras: how an ancient brotherhood cracked the code of the universe and lit the path from antiquity to outer space by Kitty Ferguson / Reviewed by Meredith Clement 153 Pythagoras: his life, teaching, and influence by Christoph Riedweg, translated by Steven Rendait / Reviewed by Meredith Clement 155 Mitt Liv som pythagoras ("my life as pythagoras,"a novel published in swedish) by Fredrik Lang / Reviewed by Johan Sten 157 Complex dynamics: families and friends by Dierk Schleicher (ed.) / Reviewed by Mary Rees 160 Fatou, Julia, Montel, the great prize of mathematical sciences of 1918, and beyond by Michèle Audin / Reviewed by Jean-Pierre Kahane 163 Esthétique et mathématiques: une exploration goodmanienne by Caroline Jullien / Reviewed by Nathalie Sinclair, David Pimm
STAMP CORNER 166 Recent mathematical stamps: 2007 2008 / Robin Wilson nr 4
ARTICLES 5 Minesweeper May Not Be NP Complete but Is Hard Nonetheless / Allan Scott, Ulrike Stege, Iris van Rooij 32 Removing Magic from the Normal Distribution and the Stirling and Wallis Formulas / Mikhail Kovalyov
POEMS 3 Divertimentum Ornithologicum / Pedro Poitevin 4 Elements: A Love Song / Manya Raman Sundstrom
DEPARTMENTS 1 Letters to the Editors / A. Azarang, Janusz Konieczny
MATHEMATICALLY BENT 18 Leonhard Euler and the seven bridges of Konigsberg / Colin Adams
MATHEMATICAL COMMUNITIES 21 "The word for world is forest": a long range funding source for women in math in developing countries / Neal Koblitz
MATHEMATICAL ENTERTAINMENTS 25 Geometric magic squares / Lee Sallows
YEARS AGO 37 An American goes to Europe: Three letters from Oswald Veblen to George Birkhoff in 1913/1914 / June Barrow-Green
THE MATHEMATICAL TOURIST 48 The Kepler memorial in Graz / Michael Longuet-Higgins
REVIEWS 50 Pursuit of genius: flexner, einstein, and the early faculty at the institute for advanced study by Steve Batterson / Marianne Freiberger, Rachel Thomas 51 Measure of the earth by Larrie D. Ferreiro Reviewed / Andrew J. Simoson 54 The tourist by Florian Henckel von Donnersmarck, Christopher McQuarrie, and Julian Fellowes / Mary W. Gray 57 Oxford handbook of the history of mathematics by Eleanor Robson and Jacqueline Stedall (eds.) / Staffan Rodhe 59 Biscuits of number theory by Arthur T. Benjamin and Ezra Brown (eds.) / John J. Watkins 61 Mathematics and reality by Mary Leng / Robert Thomas 63 Loving and hating mathematics by Reuben Hersh and Vera John Steiner / Jonathan M. Borwein, Judy-Anne Osborn
STAMP CORNER 70 Fields medallists / Anil Nawlakhe, Ujwala Nawlakhe, Robin Wilson
Oprac. BPK