Overview
- Unique presentation suitable for both undergraduate and beginning graduate students in physics and mathematics
- Emphasizes narration, worked examples and applications rather than formal mathematical proofs
- Excellent for self-study, with a guide to further reading in each chapter
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Table of contents (8 chapters)
Keywords
About this book
This textbook serves as an introduction to groups, rings, fields, vector and tensor spaces, algebras, topological spaces, differentiable manifolds and Lie groups --- mathematical structures which are foundational to modern theoretical physics. It is aimed primarily at undergraduate students in physics and mathematics with no previous background in these topics. Applications to physics --- such as the metric tensor of special relativity, the symplectic structures associated with Hamilton's equations and the Generalized Stokes's Theorem --- appear at appropriate places in the text. Worked examples, end-of-chapter problems (many with hints and some with answers) and guides to further reading make this an excellent book for self-study. Upon completing this book the reader will be well prepared to delve more deeply into advanced texts and specialized monographs in theoretical physics or mathematics.
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Authors and Affiliations
About the author
Steven P. Starkovich is Associate Professor Emeritus of Physics at Pacific Lutheran University, where he served for seven years as Provost and Senior Vice President for Academic Affairs. His 20 years of classroom teaching spanned the entire undergraduate physics curriculum. He received his PhD in Physics from the University of Victoria in British Columbia, specializing in general relativity and cosmology.
Bibliographic Information
Book Title: The Structures of Mathematical Physics
Book Subtitle: An Introduction
Authors: Steven P. Starkovich
DOI: https://doi.org/10.1007/978-3-030-73449-7
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-73448-0Published: 22 July 2021
Softcover ISBN: 978-3-030-73451-0Published: 23 July 2022
eBook ISBN: 978-3-030-73449-7Published: 21 July 2021
Edition Number: 1
Number of Pages: XXII, 258
Number of Illustrations: 86 b/w illustrations
Topics: Mathematical Methods in Physics, Mathematical Physics, Mathematical Applications in the Physical Sciences