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Differential geometry : Cartan's generalization of Klein's Erlangen program / R. W. Sharpe ; S. S. Chern

Auteur principal : Sharpe, Richard W., 1942-, AuteurAuteur secondaire : Chern, Shiing-Shen, 1911-2004, PréfacierType de document : MonographieCollection : Graduate texts in mathematics, 166Langue : anglais.Pays : Etats Unis.Éditeur : New York : Springer, 1997Description : 1 vol. (XIX-421 p.) : ill. ; 25 cmISBN : 9780387947327.ISSN : 0072-5285.Bibliographie : Bibliogr. p. [411]-415. Index.Sujet MSC : 53-01, Differential geometry, Instructional exposition (textbooks, tutorial papers, etc.)
53C05, Differential geometry -- Global differential geometry, Connections, general theory
55R10, Algebraic topology -- Fiber spaces and bundles, Fiber bundles
En-ligne : Zentralblatt | MathSciNet
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Salle R
53 SHA (Browse shelf) Available 11758-01

This is the first book in the literature that fully explains why differential geometry is the study of a connection on a principal bundle. ... Every chapter begins with an informal discussion, in which the author explains to the reader what is really going on and why the topic is important and interesting. The rigorous treatment is supplemented with helpful remarks and a wide range of exercises. The book is recommended to graduate students and researchers interested in differential geometry. (Zentralblatt)

Bibliogr. p. [411]-415. Index

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