Discrete thoughts : essays on mathematics, science, and philosophy
著者
書誌事項
Discrete thoughts : essays on mathematics, science, and philosophy
Birkhäuser, c1992
Rev. and corr. ed./ with the assistance of Peter Renz
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注記
Includes bibliographical references (p.[265-266])
内容説明・目次
- 巻冊次
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ISBN 9780817636364
内容説明
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.
目次
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
- 巻冊次
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ISBN 9783764336363
内容説明
This collection of essays and reviews on mathematics covers topics including logic, combinatorics, statistics, economics, artificial intelligence, computer science and other applications of maths. History and philosophy are also covered, including discussion of the work of Ulam, Kant, Heidegger and others.
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