Overview
- 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
Part of the book series: Universitext (UTX)
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Table of contents (18 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Reviews
“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)
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Principal Bundles
Book Subtitle: The Classical Case
Authors: Stephen Bruce Sontz
Series Title: Universitext
DOI: https://doi.org/10.1007/978-3-319-14765-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Softcover ISBN: 978-3-319-14764-2Published: 11 May 2015
eBook ISBN: 978-3-319-14765-9Published: 27 April 2015
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 1
Number of Pages: XV, 280
Number of Illustrations: 85 b/w illustrations
Topics: Mathematical Physics, Quantum Computing, Abstract Harmonic Analysis