The art of the intelligible.An elementary survey of mathematics in its conceptual development

The art of the intelligible.An elementary survey of mathematics in its conceptual development J. Bell is available to download

The art of the intelligible.The art of the ... Textbook An elementary survey of mathematics in its conceptual development J. Bell
Type:	eBook
Released:	1999
Publisher:	Springer
Page Count:	251
Format:	pdf
Language:	English
ISBN-10:	0792359720
ISBN-13:	9780792359722

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 Godel 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.