Kac / Rota / Schwartz Discrete Thoughts

Essays on Mathematics, Science and Philosophy
2. Auflage 1992
ISBN: 978-0-8176-4775-9
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 267 Seiten

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

Autoren/Hrsg.

Kac, Mark

Rota, Gian-Carlo

Schwartz, Jacob T.

Inhaltsverzeichnis

1;TABLE OF CONTENTS;9
2;PREFACE;11
3;ACKNOWLEDGMENTS;13
4;Discrete Thoughts;15
5;Mathematics: Tensions;19
6;The Pernicious Influence of Mathematics on Science;31
7;Statistics;38
8;Statistics and Its History;48
9;Combinatorics;60
10;Computer Science;74
11;Mathematics: Trends;88
12;The Future of Computer Science;115
13;Economics, Mathematical and Empirical;127
14;Complicating Mathematics;161
15;Mathematics and Its History;164
16;Academic Responsibility;169
17;Husserl and the Reform of Logic;173
18;Husserl;180
19;Artificial Intelligence;187
20;Computing and Its History;195
21;Will Computers Replace Humans?;198
22;Computer- Aided Instruction;210
23;Misreading the History of Mathematics;234
24;The Wonderful World of Uncle Stan;238
25;Ulam;241
26;Kant;244
27;Heidegger;248
28;Doing Away with Science;254
29;More Discrete Thoughts;264
30;Sources;266