Universitext

Principal Bundles

The Classical Case

Authors: Sontz, Stephen Bruce

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  • Provides a relatively quick path to a special topic in differential geometry: principal bundles, whose properties are then described in some detail
  • Presents important, modern geometric ideas in a form accessible to students and researchers in other areas
  • No previous knowledge of differential geometry is assumed
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書籍の購入

イーブック ¥3,368
¥6,738 (listprice)
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
有効期限: June 30, 2020
  • ISBN 978-3-319-14765-9
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: PDF, EPUB
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
  • ご購入後、すぐにダウンロードしていただけます。
ソフトカバー ¥4,211
¥8,423 (listprice)
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
有効期限: June 30, 2020
  • ISBN 978-3-319-14764-2
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
この教本について

This introductory graduate level text provides a relatively quick path to a special topic in classical differential geometry: principal bundles.  While the topic of principal bundles in differential geometry has become classic, even standard, material in the modern graduate mathematics curriculum, the unique approach taken in this text presents the material in a way that is intuitive for both students of mathematics and of physics. The goal of this book is to present important, modern geometric ideas in a form readily accessible to students and researchers in both the physics and mathematics communities, providing each with an understanding and appreciation of the language and ideas of the other.

著者について

Stephen Bruce Sontz is a Professor at Centro de Investigacion en Matematicas (CIMAT).  He received his Ph.D. from the University of Virginia, USA, in 1994.

レビュー

“He has written a book about principal bundles in the classical sense which is of great interest in and of itself … . a textbook which can be used in an advanced one-year course or for self-learning. … the book is also interesting for a physicist, because one can find the geometric basis of many mathematical tools used in physics. … reviewer has greatly enjoyed reading the book and acknowledges the author’s bravery in writing another text on differential geometry!” (Fernando Etayo Gordejuela, Mathematical Reviews, November, 2015)

“The present book deals with principle bundles and their relevance in physics with a ground work on differential geometry. … The book will be helpful to the graduate and under graduate students of mathematics and physics. It can also be an informative hand book of the researchers in differential geometry and physics.” (Uday Chand De, zbMATH 1321.53004, 2015)


Table of contents (18 chapters)

Table of contents (18 chapters)
  • Introduction

    Pages 1-5

    Sontz, Stephen Bruce

  • Basics of Manifolds

    Pages 7-29

    Sontz, Stephen Bruce

  • Vector Bundles

    Pages 31-48

    Sontz, Stephen Bruce

  • Vectors, Covectors, and All That

    Pages 49-57

    Sontz, Stephen Bruce

  • Exterior Algebra and Differential Forms

    Pages 59-79

    Sontz, Stephen Bruce

書籍の購入

イーブック ¥3,368
¥6,738 (listprice)
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
有効期限: June 30, 2020
  • ISBN 978-3-319-14765-9
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: PDF, EPUB
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
  • ご購入後、すぐにダウンロードしていただけます。
ソフトカバー ¥4,211
¥8,423 (listprice)
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
有効期限: June 30, 2020
  • ISBN 978-3-319-14764-2
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
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書誌情報

Bibliographic Information
Book Title
Principal Bundles
Book Subtitle
The Classical Case
Authors
Series Title
Universitext
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
イーブック ISBN
978-3-319-14765-9
DOI
10.1007/978-3-319-14765-9
ソフトカバー ISBN
978-3-319-14764-2
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XV, 280
Number of Illustrations
85 b/w illustrations
Topics