The Mathematical Intelligencer Vol 33 No 1 March 2011

Bourbaki’s Structures and Structuralism......Page 1
Young Gauss Meets Dynamical Systems......Page 2
References......Page 4
Bers Mafia......Page 5
The Polymath Project......Page 6
The New Way is Opened......Page 9
A Promising Start......Page 10
Examples of Exceptional Forms of Collaboration in Mathematics......Page 11
The Graph Theory Model of a Polymath......Page 12
Case Study I: International Mathematical Olympiad 2009 Question 6 (Mini-polymath1 or IMOq6)......Page 13
Comparisons......Page 14
Further Questions......Page 15
References......Page 17
Taking Numbers for Granted......Page 19
Experience is Unavoidable......Page 20
The Strangely Distinct Histories of Set Theory and Multiset Theory......Page 21
Parts and Moments......Page 22
Non-negative Finite Cardinals......Page 23
The Statuses of Zero, Counting, and One......Page 24
Other Numbers, and Arithmetic......Page 25
Aspects of Arithmetic......Page 26
Bibliography......Page 27
Hardy and Ramanujan......Page 30
The Old Rules......Page 33
Four-Letter Words......Page 34
A Complete List......Page 35
The Character Set......Page 36
Examples on the Road......Page 37
Bond; James Bond......Page 39
Real Numbers......Page 40
Large Numbers......Page 41
Computer Science......Page 42
Other Countries......Page 43
References......Page 44
Interview with Professor Ngô Ba’o Châu......Page 46
Martin Gardner(1914–2010)......Page 51
In Remembrance of Martin Gardner......Page 55
Implications for Foundations of Geometry......Page 56
Doodlings of a Physicist......Page 57
On Machian Thought Experiments......Page 58
References......Page 59
Root Two is Irrational......Page 61
The GCD as a Dynamical System......Page 62
Infinitude of Primes......Page 63
Quartics......Page 64
Trisection of Angles......Page 65
The Reals are Uncountable......Page 66
Squares and Rectangles......Page 67
Courant-Robbins Train......Page 68
References......Page 71
Malfatti’s Marble Problem and Its History......Page 72
Two Circles in a Triangle......Page 74
Two Circles in Other Regions and Other Generalizations......Page 75
References......Page 76
Spinoza and the Icosahedron......Page 77
The Geometry of Christopher Wren and Robert Hooke: A Walking Tour in London......Page 78
The Tour......Page 79
Further Reading......Page 83
It’s All About Digits......Page 85
Simple Explanations? Are You Sure?......Page 86
References......Page 90
Associative Binary Operations and the Pythagorean Theorem......Page 92
References......Page 95
A Disappearing Numberby Complicite......Page 96
References......Page 98
The World of Maria Gaetana Agnesi, Mathematician of God by Massimo Mazzotti......Page 99
Deciphering the Cosmic Number: The Strange Friendship of Wolfgang Pauli and Carl Jung by Arthur I. Miller......Page 105
References......Page 106
Introduction to Grid Computing (Numerical Analysis and Scientific Computing Series) by Frédéric Magoulès, Jie Pan, Kiat-An Tan, and Abhinit Kumar......Page 108
Mathletics---How Gamblers, Managers, and Sports Enthusiasts Use Mathematics in Baseball, Basketball, and Football by Wayne L. Winston......Page 109
Mathematics in Games, Sports, and Gambling---The Games People Play by Ronald J. Gould......Page 111
Snowflake......Page 112