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Fibre bundles

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Published by Springer-Verlag in New York .
Written in English

Subjects:

  • Fiber bundles (Mathematics)

Book details:

Edition Notes

Includes bibliographical references (p. [339]-347) and index.

StatementDale Husemoller.
SeriesGraduate texts in mathematics ;, 20
Classifications
LC ClassificationsQA612.6 .H87 1993
The Physical Object
Paginationxix, 353 p. ;
Number of Pages353
ID Numbers
Open LibraryOL1397212M
ISBN 100387940871
LC Control Number93004694

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  Fibre bundles, now an integral part of differential geometry, are also of great importance in modern physics--such as in gauge theory. This book, a succinct introduction to the subject by renown mathematician Norman Steenrod, was Cited by: Fibre bundles play an important role in just about every aspect of modern geometry and topology. Basic properties, homotopy classification, and characteristic classes of fibre bundles have become an essential part of graduate mathematical education for students in geometry and mathematical : Springer-Verlag New York.   Fibre Bundles. Book ratings by Goodreads. Goodreads is the world’s largest husemller for readers with over 50 million reviews. We’re featuring millions of their reader ratings on our book pages to help you find your new favourite book. Fiber bundles became their own object of study in the period – The first general definition appeared in the works of Whitney. Whitney came to the general definition of a fiber bundle from his study of a more particular notion of a sphere bundle, that is a fiber bundle whose fiber is a sphere of arbitrary dimension.

of fibre bundle had been clearly formulated, the homotopy classification of fibre bundles achieved, and the theory of characteristic classes of fibre bundles developed by several mathematicians: Chern, Pontrjagin, Stiefel, and Whitney. Steenrod's book, which appeared in , gave a coherent treat­ ment of the subject up to that time. Fibre bundles, now an integral part of differential geometry, are also of great importance in modern physics--such as in gauge theory. This book, a succinct introduction to the subject by renown mathematician Norman Steenrod, was the first to present the subject systematically. It begins with a general introduction to bundles, including such topics as differentiable manifolds . Fibre Bundles (Graduate Texts in Mathematics) (v. 20): Dale Husemoller. I wish to study the book ‘Fibre Bundles’ by Dale Husemoller. How much Algebraic Topology is required for studying this book? Would a. Fibre bundles/Dale Husemoller.—3rd ed. p. cm.—(Graduate texts in mathematics ;20) Includes bibliographical references and index. ISBN. Fibre Bundles and Differential Geometry By J.L. Koszul Notes by S. Ramanan No part of this book may be reproduced in any form by print, microfilm or any other means without written permission from the Tata Insti-tute of Fundamental Research, Apollo Pier Road, Bombay-1 Tata Institute of Fundamental Research, Bombay

N. Poncin, Fiber bundles and connections 5 2 Fiber bundles De nition and rst remarks We will see that many basic concepts in Theoretical Physics can be interpreted in terms of ber bundles. In the main, a ber bundle is a manifold that locally looks like a product manifold. Well-known examples are the tangent and the cotangent bundles. FIBRE BUNDLES by Norman Steenrod THE subject of fibre bundles, initiated fifteen years ago, has enjoyed an intensive development by a number of authors in the journals of mathematics. It embodies the main applications of topology to differential geometry, in particular, to the study of properties "in the large" of differential manifolds. Fibre bundles play an important role in every aspect of modern geometry and topology. Basic properties, homotopy classification, and characteristic classes of fibre bundles have become an essential part of graduate mathematical education for students in geometry and mathematical physics. In this third edition, two new chapters on the gauge group.   We give the definition of a fiber bundle with fiber F, trivializations and transition maps. This is a really basic stuff that we use a lot. Here are the topi.