Mathematics of the 19th Century

Mathematical Logic Algebra Number Theory Probability Theory

Authors: KOLMOGOROV, YUSHKEVICH

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About this book

This multi-authored effort, Mathematics of the nineteenth century (to be fol­ lowed by Mathematics of the twentieth century), is a sequel to the History of mathematics fram antiquity to the early nineteenth century, published in three 1 volumes from 1970 to 1972. For reasons explained below, our discussion of twentieth-century mathematics ends with the 1930s. Our general objectives are identical with those stated in the preface to the three-volume edition, i. e. , we consider the development of mathematics not simply as the process of perfecting concepts and techniques for studying real-world spatial forms and quantitative relationships but as a social process as weIl. Mathematical structures, once established, are capable of a certain degree of autonomous development. In the final analysis, however, such immanent mathematical evolution is conditioned by practical activity and is either self-directed or, as is most often the case, is determined by the needs of society. Proceeding from this premise, we intend, first, to unravel the forces that shape mathe­ matical progress. We examine the interaction of mathematics with the social structure, technology, the natural sciences, and philosophy. Throughan anal­ ysis of mathematical history proper, we hope to delineate the relationships among the various mathematical disciplines and to evaluate mathematical achievements in the light of the current state and future prospects of the science. The difficulties confronting us considerably exceeded those encountered in preparing the three-volume edition.

Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook $99.00
price for USA in USD
  • ISBN 978-3-0348-5112-1
  • Digitally watermarked, DRM-free
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  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Mathematics of the 19th Century
Book Subtitle
Mathematical Logic Algebra Number Theory Probability Theory
Authors
Copyright
1992
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0348-5112-1
DOI
10.1007/978-3-0348-5112-1
Edition Number
1
Number of Pages
XIV, 308
Number of Illustrations
41 b/w illustrations
Topics