Publisher: Springer
Year: 2009
Language: English
Pages: 70
Lovely Math Wedding Cakes......Page 1
Remark......Page 2
Bibliography......Page 3
The Role of the Untrue in Mathematics......Page 4
A Nightmare SeminarThere may be some resemblance, not least in poetic metre and form, to the famous Nightmare Song from W.S. Gilbert and A.S. Sullivan’s ‘Iolanthe’. This is by no means the first rhyme relating to the Riemann Hypothesis. Tom Apostol’s song ‘Where are the Zeros of Zeta of s?’ is well known.......Page 9
Happiness is a Warm Theorem......Page 10
The Continuing Story of Zeta......Page 13
A Journey of a Thousand Miles........Page 14
General Method......Page 15
References......Page 16
The Elementary Proof of the Prime Number Theorem......Page 18
E. G. Straus......Page 21
Ernst Straus......Page 22
References......Page 23
Mathematical Quiz: A Friendship of Lasting Value......Page 24
The Start: Two Pioneers......Page 25
The Highlight: The Minkowski-Hlawka Theorem......Page 27
From GN to Diophantine Approximation......Page 28
From GN to Convex and Discrete Geometry......Page 30
References......Page 31
A Mathematical Analysis of the Sleeping Beauty Problem......Page 32
The Original Problem Revisited......Page 33
Yet another variant: sleeping twins......Page 34
Bertrand’s Box......Page 35
Final Discussion......Page 36
References......Page 37
Gaussian Integral Puzzle......Page 38
Magic Integrand......Page 39
The Formula......Page 40
Cauchy’s Method......Page 41
On Picturing the Past: Arithmetic and Geometry as Wings of the Mind......Page 42
The Strasbourg Astronomical Clock......Page 43
Philip Melanchthon, Supporter of the Mathematical Sciences......Page 44
Arithmetic and Geometry as ‘‘Wings”......Page 45
Concluding Remark: The Wings of Mathematics......Page 47
Complexities. Women in Mathematics Bettye Ann Case and Anne M. Leggett, editors......Page 48
Yesterday and Long Ago by V.I. Arnold......Page 50
Episodes in the History of Modern Algebra (1800-1950) Jeremy J. Gray and Karen Hunger Parshall, editors......Page 53
Reference......Page 56
Kinship Rules Modeled by Group Theory......Page 57
The LÕvi-straussian Canonical Formula......Page 58
Contents of the Maranda Volume......Page 59
References......Page 60
Mathematics and Democracy: Designing Better Voting and Fair Division Procedures by Steven J. Brams......Page 62
References......Page 63
A Beautiful Math: John Nash, Game Theory, and the Modern Quest for a Code of Nature by Tom Siegfried......Page 64
Does Measurement Measure Up? How Numbers Reveal and Conceal the Truth by John M. Henshaw......Page 65
Number and Numbers by Alain Badiou, translated by Robin Mackay......Page 67
References......Page 69
Wolf Barth (b. 1926)......Page 70
