Title | Mathematics of the 19th Century [electronic resource] : Mathematical Logic Algebra Number Theory Probability Theory / edited by A. N. Kolmogorov, A. P. Yushkevich |
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Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 1992 |

Connect to | http://dx.doi.org/10.1007/978-3-0348-5112-1 |

Descript | XIV, 308 p. 41 illus. online resource |

SUMMARY

This multi-authored effort, Mathematics of the nineteenth century (to be folยญ 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 matheยญ matical progress. We examine the interaction of mathematics with the social structure, technology, the natural sciences, and philosophy. Throughan analยญ 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

CONTENT

One Mathematical Logic -- Two Algebra and Algebraic Number Theory -- Three Problems of Number Theory -- Four The Theory of Probability -- Addendum (by O. B. She?nin) -- 1. French and German Quotations -- 2. Notes -- Additional Bibliography -- Bibliography (by F.A. Medvedev) -- Abbreviations -- Index of Names

Mathematics
History
Science
Mathematics
History of Mathematical Sciences
History of Science
Science general