The Structures of Mathematical Physics

An Introduction

Authors: Starkovich, Steven P.

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  • 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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About this Textbook

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.


About the authors

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.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 53,49 €
price for France (gross)
  • ISBN 978-3-030-73449-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 68,56 €
price for France (gross)
  • ISBN 978-3-030-73448-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
The Structures of Mathematical Physics
Book Subtitle
An Introduction
Authors
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-73449-7
DOI
10.1007/978-3-030-73449-7
Hardcover ISBN
978-3-030-73448-0
Edition Number
1
Number of Pages
XXII, 258
Number of Illustrations
86 b/w illustrations
Topics