Musings of the Masters: An Anthology of Mathematical Reflections

Portada
Raymond Ayoub
MAA, 2004 - 277 pàgines
The anthology is a collection of articles contiguous to the humanities written by renowned mathematicians of the twentieth century. The articles cover a variety of topics that, for want of a better name, shall be referred to as humanistic. An important criterion, thereby limiting the choice, is that the articles should be accessible to the literate reader who may or may not have technical knowledge of mathematics. The articles span roughly a century in time and a wide range in subject. They are by mathematicians acknowledged by their peers as outstanding creators whose work has added richly to the discipline. Each article is preceded by a brief biographical sketch of the author and a brief indication of the content. The material is accessible to a wide audience, lay as well as academic.
 

Continguts

Mathematics and Thinking Mathematically Mary Cartwright
3
Mathematical Invention Henri Poincaré
17
Thoughts on the Heuristic Method Jacques Hadamard
31
Mathematical Proof G H Hardy
45
The Unity of Knowledge Hermann Weyl
65
Mathematics and the Arts Marston Morse
81
Intuition Reason and Faith in Science George David Birkhoff
95
Logic and the Understanding of Nature David Hilbert
115
The Mathematician John von Neumann
169
The Community of Scholars André Lichnerowicz
185
Why and How André Weil
199
Does God Exist? Paul Lévy
217
Goethe and Mathematics Wilhelm Maak
231
Leonardo and Mathematics Francesco Severi
247
The Highest Good Norbert Wiener
257
Sources of the Articles
271

The Cultural Basis of Mathematics Raymond Wilder
129
Presidential Address to the British Association J J Sylvester
151

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Sobre l'autor (2004)

Raymond Ayoub is a Professor Emeritus of Mathematics at the University of Pennsylvania.

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