Mathematics of the 19th Century
Mathematical Logic Algebra Number Theory Probability Theory
Authors: KOLMOGOROV, YUSHKEVICH
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 About this book

This multiauthored 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 twentiethcentury mathematics ends with the 1930s. Our general objectives are identical with those stated in the preface to the threevolume edition, i. e. , we consider the development of mathematics not simply as the process of perfecting concepts and techniques for studying realworld 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 selfdirected 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 threevolume edition.
 Table of contents (4 chapters)


Mathematical Logic
Pages 134

Algebra and Algebraic Number Theory
Pages 35135

Problems of Number Theory
Pages 137209

The Theory of Probability
Pages 211282

Table of contents (4 chapters)
Bibliographic Information
 Bibliographic Information

 Book Title
 Mathematics of the 19th Century
 Book Subtitle
 Mathematical Logic Algebra Number Theory Probability Theory
 Authors

 KOLMOGOROV
 YUSHKEVICH
 Copyright
 1992
 Publisher
 Birkhäuser Basel
 Copyright Holder
 Springer Basel AG
 eBook ISBN
 9783034851121
 DOI
 10.1007/9783034851121
 Edition Number
 1
 Number of Pages
 XIV, 308
 Number of Illustrations
 41 b/w illustrations
 Topics