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Mathematics of the 19th Century

mathematical logic, algebra, number theory, probability theory

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This multi-authored work is a continuation of the History of Mathematics from antiquity to the early nineteenth century, which was published in three volumes from 1970 to 1972. The discussion of twentieth-century mathematics concludes in the 1930s. Our objectives mirror those stated in the preface to the earlier edition, viewing the development of mathematics not just as a refinement of concepts and techniques for understanding spatial forms and quantitative relationships, but also as a social process. Established mathematical structures can evolve autonomously, yet their development is ultimately influenced by practical activities and societal needs. We aim to explore the forces shaping mathematical progress, focusing on the interplay between mathematics and social structures, technology, natural sciences, and philosophy. Through an analysis of mathematical history, we seek to clarify the interconnections among various mathematical disciplines and assess achievements in light of the current state and future of the field. The challenges we face in this endeavor are significantly greater than those encountered in the preparation of the previous three-volume edition.

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Mathematics of the 19th Century, A.P. Yushkevich, A. N. Kolmogorov

Langue
Année de publication
1992
Reliure
(rigide)
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Titre
Mathematics of the 19th Century
Sous-titre
mathematical logic, algebra, number theory, probability theory
Langue
Anglais
Éditeur
Birkhäuser
Publié
1992
Format
rigide
Pages
308
ISBN10
3764325526
ISBN13
9783764325527
Séries
Description
This multi-authored work is a continuation of the History of Mathematics from antiquity to the early nineteenth century, which was published in three volumes from 1970 to 1972. The discussion of twentieth-century mathematics concludes in the 1930s. Our objectives mirror those stated in the preface to the earlier edition, viewing the development of mathematics not just as a refinement of concepts and techniques for understanding spatial forms and quantitative relationships, but also as a social process. Established mathematical structures can evolve autonomously, yet their development is ultimately influenced by practical activities and societal needs. We aim to explore the forces shaping mathematical progress, focusing on the interplay between mathematics and social structures, technology, natural sciences, and philosophy. Through an analysis of mathematical history, we seek to clarify the interconnections among various mathematical disciplines and assess achievements in light of the current state and future of the field. The challenges we face in this endeavor are significantly greater than those encountered in the preparation of the previous three-volume edition.