Jean Dieudonné's A History of Algebraic and Differential Topology, 1900 - PDF

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By Jean Dieudonné

ISBN-10: 0817649069

ISBN-13: 9780817649067

ISBN-10: 0817649077

ISBN-13: 9780817649074

Since the early a part of the 20 th century, topology has progressively unfold to many different branches of arithmetic, and this publication demonstrates how the topic maintains to play a vital function within the box. Written through a world-renowned mathematician, this vintage textual content lines the heritage of algebraic topology starting with its production within the early 1900s and describes intimately the real theories that have been found prior to 1960. throughout the paintings of Poincaré, de Rham, Cartan, Hureqicz, and so forth, this ancient e-book additionally specializes in the emergence of latest rules and strategies that experience led 21st-century mathematicians in the direction of new learn directions.

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This e-book is a well-informed and precise 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 various technical advancements of 20th-century arithmetic had looked as if it would current insuperable hindrances to scholarship. This ebook demonstrates on the subject of topology how those hindrances could be triumph over, with enlightening results.... inside its selected barriers the assurance of this e-book is excellent. learn it!

—MathSciNet

[The writer] strains the advance of algebraic and differential topology from the cutting edge paintings by way of Poincaré on the flip of the century to the interval round 1960. [He] has given a very good account of the expansion of those fields.… the main points are interwoven with the narrative in a truly friendly fashion.… [The writer] has prior written histories of sensible research and of algebraic geometry, yet neither booklet used to be on this sort of grand scale as this one. He has made it attainable to track the real steps within the development of algebraic and differential topology, and to respect the labor and significant advances made by way of the founders.

—Zentralblatt MATH

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Extra info for A History of Algebraic and Differential Topology, 1900 - 1960

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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.

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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