Discrete Thoughts: Essays on Mathematics, Science and Philosophy / Edition 2

Discrete Thoughts: Essays on Mathematics, Science and Philosophy / Edition 2

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

ISBN-10: 0817636366

ISBN-13: 9780817636364

Pub. Date: 06/28/1993

Publisher: Birkhauser Verlag

This is a volume of essays and reviews that delightfully explore mathematics in all its moods — from the light and the witty, and humorous to serious, rational, and cerebral. Topics include: logic, combinatorics, statistics, economics, artificial intelligence, computer science, and applications of mathematics broadly. You will also find history and…  See more details below

Overview

This is a volume of essays and reviews that delightfully explore mathematics in all its moods — from the light and the witty, and humorous to serious, rational, and cerebral. Topics include: logic, combinatorics, statistics, economics, artificial intelligence, computer science, and applications of mathematics broadly. You will also find history and philosophy covered, including discussion of the work of Ulam, Kant, Heidegger among others.
"...these papers reflect on mathematics and its influence on human society. They can help the specialist to notice what is going on around him, and they may lead educated people from other domains to a better understanding of mathematics. Many of these papers can advise educators how to form a modern mathematics education, which develops approved ideas and institutions...I admire the stimulating perspectives of the authors."—-American Mathematical Society
"‘Mathematicians, like Proust and everyone else, are at their best when writing about their first love’ … They are among the very best we have; and their best is very good indeed. … One approaches this book with high hopes. Happily, one is not disappointed."—- From The Mathematical Intelligencer
"Mathematics is shaped by the consistent concerns and styles of powerful minds —three of which are represented here. Kac’s work is marked by deep commitment and breadth of inquiry. Rota is the easiest of these authors to read…a delight: witty and urbane, with a clear and interesting agenda and an astonishing intellectual range. To read him is to be a part of a pleasant and rewarding conversation.—Mathematics Magazine

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Product Details

ISBN-13:
9780817636364
Publisher:
Birkhauser Verlag
Publication date:
06/28/1993
Edition description:
2nd ed. 1992
Pages:
266
Product dimensions:
6.16(w) x 9.27(h) x 0.65(d)

Table of Contents

Preface
Acknowledgments
1Discrete Thoughts1
2Mathematics: Tensions7
3The Pernicious Influence of Mathematics on Science19
4Statistics27
5Statistics and Its History37
6Combinatorics49
7Computer Science63
8Mathematics: Trends77
9The Future of Computer Science105
10Economics, Mathematical and Empirical117
11Complicating Mathematics153
12Mathematics and Its History157
13Academic Responsibility163
14Husserl and the Reform of Logic167
15Husserl175
16Artificial Intelligence183
17Computing and Its History191
18Will Computers Replace Humans?195
19Computer-Aided Instruction207
20Misreading the History of Mathematics231
21The Wonderful World of Uncle Stan235
22Ulam239
23Kant243
24Heidegger247
25Doing Away with Science253
26More Discrete Thoughts263

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