Discrete thoughts : essays on mathematics, science, and philosophy

Mark Kac, Gian-Carlo Rota, and Jacob T. Schwartz

This is a volume of essays and reviews that delightfully explores mathematics in all its moods - from the light and the witty, and humorous to serious, rational, and cerebral. These beautifully written articles from three great modern mathematicians will provide a source for supplemental reading for almost any math class. Topics include: logic, combinatorics, statistics, economics, artificial intelligence, computer science, and broad applications of mathematics. Readers will also find coverage of history and philosophy, including discussion of the work of Ulam, Kant, and Heidegger, among others.

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  • Preface.- Acknowledgements.- Discrete thoughts.- Mathematics: Tensions.- The Pernicious Influence of Mathematics on Science.- Statistics.- Statistics and Its History.- Combinatorics.- Computer Science.- Mathematics: Trends.- The Future of Computer Science.- Economics, Mathematical and Empirical.- Complicating Mathematics.- Mathematics and Its History.- Academic Responsibility.- Husserl and the Reform of Logic.- Husserl.- Artificial Intelligence.- Computing and Its History.- Will Computers Replace Humans?.- Computer-Aided Instruction.- Misreading the History of Mathematics.- The Wonderful World of Uncle Stan.- Ulam.- Kant.- Heidegger.- Doing Away with Science.- More Discrete Thoughts

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書名 Discrete thoughts : essays on mathematics, science, and philosophy
著作者等 Kac, Mark
Rota, Gian-Carlo
Schwartz, Jacob T.
Schwartz Jacob
シリーズ名 Modern Birkhäuser classics
出版元 Birkhäuser
刊行年月 c2008
版表示 Rev. and corr. ed./ with the assistance of Peter Renz
ページ数 xii, 264 p.
大きさ 24 cm
ISBN 9780817647742
NCID BA86031216
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言語 英語
出版国 アメリカ合衆国