The Art of the Intelligible - An Elementary Survey of Mathematics in its Conceptual Development (Paperback, Softcover reprint of the original 1st ed. 1999)

A compact survey, at the elementary level, of some of the most important concepts of mathematics. Attention is paid to their technical features, historical development and broader philosophical significance. Each of the various branches of mathematics is discussed separately, but their interdependence is emphasised throughout. Certain topics - such as Greek mathematics, abstract algebra, set theory, geometry and the philosophy of mathematics - are discussed in detail. Appendices outline from scratch the proofs of two of the most celebrated limitative results of mathematics: the insolubility of the problem of doubling the cube and trisecting an arbitrary angle, and the GAdel incompleteness theorems. Additional appendices contain brief accounts of smooth infinitesimal analysis - a new approach to the use of infinitesimals in the calculus - and of the philosophical thought of the great 20th century mathematician Hermann Weyl. Readership: Students and teachers of mathematics, science and philosophy. The greater part of the book can be read and enjoyed by anyone possessing a good high school mathematics background.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	The Western Ontario Series in Philosophy of Science, 63
Release date:	August 2001
First published:	1999
Authors:	J. Bell
Dimensions:	240 x 160 x 14mm (L x W x T)
Format:	Paperback
Pages:	250
Edition:	Softcover reprint of the original 1st ed. 1999
ISBN-13:	978-1-4020-0007-2
Categories:	Books > Science & Mathematics > Science: general issues > Philosophy of science Promotions
LSN:	1-4020-0007-3
Barcode:	9781402000072

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