The Structures of Mathematical Physics

The Structures of Mathematical Physics
Author :
Publisher : Springer Nature
Total Pages : 274
Release :
ISBN-10 : 9783030734497
ISBN-13 : 3030734498
Rating : 4/5 (97 Downloads)

Book Synopsis The Structures of Mathematical Physics by : Steven P. Starkovich

Download or read book The Structures of Mathematical Physics written by Steven P. Starkovich and published by Springer Nature. This book was released on 2021-07-21 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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