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Mathematics of the 19th century: mathematical logic, algebra, number theory, probability theory

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 dis...

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Detalles Bibliográficos
Autores principales: Kolmogorov, A, Yushkevich, A
Lenguaje:eng
Publicado: Springer 1992
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-0348-5112-1
http://cds.cern.ch/record/2006169
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author Kolmogorov, A
Yushkevich, A
author_facet Kolmogorov, A
Yushkevich, A
author_sort Kolmogorov, A
collection CERN
description 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.
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spelling cern-20061692021-04-21T20:23:45Zdoi:10.1007/978-3-0348-5112-1http://cds.cern.ch/record/2006169engKolmogorov, AYushkevich, AMathematics of the 19th century: mathematical logic, algebra, number theory, probability theoryMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:20061691992
spellingShingle Mathematical Physics and Mathematics
Kolmogorov, A
Yushkevich, A
Mathematics of the 19th century: mathematical logic, algebra, number theory, probability theory
title Mathematics of the 19th century: mathematical logic, algebra, number theory, probability theory
title_full Mathematics of the 19th century: mathematical logic, algebra, number theory, probability theory
title_fullStr Mathematics of the 19th century: mathematical logic, algebra, number theory, probability theory
title_full_unstemmed Mathematics of the 19th century: mathematical logic, algebra, number theory, probability theory
title_short Mathematics of the 19th century: mathematical logic, algebra, number theory, probability theory
title_sort mathematics of the 19th century: mathematical logic, algebra, number theory, probability theory
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-0348-5112-1
http://cds.cern.ch/record/2006169
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