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

By Jean Dieudonné

Since the early a part of the 20 th century, topology has steadily unfold to many different branches of arithmetic, and this booklet demonstrates how the topic keeps to play a crucial position within the box. Written by way of a world-renowned mathematician, this vintage textual content strains the historical past of algebraic topology starting with its production within the early 1900s and describes intimately the real theories that have been found earlier than 1960. in the course of the paintings of Poincaré, de Rham, Cartan, Hureqicz, etc, this ancient booklet additionally makes a speciality of the emergence of recent rules and strategies that experience led 21st-century mathematicians in the direction of new learn directions.

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This ebook is a well-informed and exact research of the issues and improvement of algebraic topology, from Poincaré and Brouwer to Serre, Adams, and Thom. the writer has tested every one major paper alongside this path 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 appeared to current insuperable stumbling blocks to scholarship. This booklet demonstrates in relation to topology how those hindrances will be conquer, with enlightening results.... inside its selected obstacles the assurance of this ebook is great. learn it!

—MathSciNet

[The writer] strains the improvement of algebraic and differential topology from the cutting edge paintings via Poincaré on the flip of the century to the interval round 1960. [He] has given an outstanding account of the expansion of those fields.… the main points are interwoven with the narrative in a really friendly fashion.… [The writer] has past written histories of practical research and of algebraic geometry, yet neither e-book used to be on this kind of grand scale as this one. He has made it attainable to track the real 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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1007/978-0-8176-4907-4_2, © Birkhäuser Boston, a part of Springer Science+Business Media, LLC 2009 J.

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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