Discrete thoughts : essays on mathematics, science, and philosophy
著者
書誌事項
Discrete thoughts : essays on mathematics, science, and philosophy
(Modern Birkhäuser classics)
Birkhäuser, c2008
Rev. and corr. ed./ with the assistance of Peter Renz
- : pbk.
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注記
Includes bibliographical references (p.[265-266])
"Reprint of the 1992 second edition" -- T.p.
"Originally published as a monograph" -- T.p. verso
内容説明・目次
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
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