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Principal Bundles: The Classical Case

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Published in Principal Bundles: The Classical Case (Universitext)

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Principal Bundles: The Classical Case (Universitext)

by Fritz Keinert

5 out of 5

Language	:	English
File size	:	4840 KB
Screen Reader	:	Supported
Print length	:	295 pages
X-Ray for textbooks	:	Enabled

A Comprehensive Guide to the Mathematical Theory

Principal bundles are foundational structures in differential geometry that arise in various applications such as physics, gauge theory, and topology. This book provides a comprehensive and accessible to the theory of principal bundles, suitable for graduate students and researchers in mathematics and theoretical physics.

Key Features

Self-contained and comprehensive treatment of the classical theory of principal bundles
Clear and detailed exposition, with many examples and exercises
Covers a wide range of topics, including:
- The definition and basic properties of principal bundles
- Connections on principal bundles
- Curvature and characteristic classes
- Applications to gauge theory and topology

Audience

This book is intended for graduate students and researchers in mathematics and theoretical physics who are interested in learning about the theory of principal bundles. It is also suitable for advanced undergraduates with a strong background in differential geometry.

About the Author

Universitext is a series of textbooks that provide concise and accessible s to important topics in mathematics and theoretical physics. The books in this series are written by leading experts in their fields and are designed to be self-contained and suitable for a wide audience.

Reviews

"This book is an excellent to the theory of principal bundles. It is well-written and comprehensive, and it provides a clear and detailed exposition of the subject matter. The book is also self-contained, and it includes many examples and exercises that help to illustrate the concepts discussed in the text."
— Professor David Freed, University of California, Berkeley

"This book is a valuable resource for students and researchers who are interested in learning about the theory of principal bundles. It is well-written and comprehensive, and it provides a clear and detailed exposition of the subject matter. The book is also self-contained, and it includes many examples and exercises that help to illustrate the concepts discussed in the text."
— Professor Nigel Hitchin, University of Oxford