Download e-book for kindle: A History of Algebraic and Differential Topology, 1900 - by Jean Dieudonné

By Jean Dieudonné

ISBN-10: 0817649069

ISBN-13: 9780817649067

ISBN-10: 0817649077

ISBN-13: 9780817649074

Since the early a part of the twentieth century, topology has progressively unfold to many different branches of arithmetic, and this publication demonstrates how the topic keeps to play a significant function within the box. Written via a world-renowned mathematician, this vintage textual content lines the background of algebraic topology starting with its production within the early 1900s and describes intimately the real theories that have been chanced on ahead of 1960. in the course of the paintings of Poincaré, de Rham, Cartan, Hureqicz, and so on, this old e-book additionally makes a speciality of the emergence of recent rules and techniques that experience led 21st-century mathematicians in the direction of new learn directions.

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This ebook is a well-informed and unique research of the issues and improvement of algebraic topology, from Poincaré and Brouwer to Serre, Adams, and Thom. the writer has tested each one major paper alongside this direction and describes the stairs and technique of its proofs and its relation to different paintings. formerly, the background of the numerous technical advancements of 20th-century arithmetic had looked as if it would current insuperable stumbling blocks to scholarship. This ebook demonstrates relating to topology how those stumbling blocks may be conquer, with enlightening results.... inside its selected obstacles the assurance of this ebook is great. learn it!

—MathSciNet

[The writer] lines the improvement of algebraic and differential topology from the leading edge paintings through Poincaré on the flip of the century to the interval round 1960. [He] has given a good account of the expansion of those fields.… the main points are interwoven with the narrative in a truly friendly fashion.… [The writer] has past written histories of useful research and of algebraic geometry, yet neither e-book was once on the sort of grand scale as this one. He has made it attainable to track the $64000 steps within the progress of algebraic and differential topology, and to respect the exertions and significant advances made by way of the founders.

—Zentralblatt MATH

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J. 1007/978-0-8176-4907-4_2, © Birkhäuser Boston, a part of Springer Science+Business Media, LLC 2009 J.

1007/978-0-8176-4907-4_2, © Birkhäuser Boston, a part of Springer Science+Business Media, LLC 2009 J.

1007/978-0-8176-4907-4_2, © Birkhäuser Boston, a part of Springer Science+Business Media, LLC 2009 J.

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A History of Algebraic and Differential Topology, 1900 - 1960 by Jean Dieudonné


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