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portada The Structures of Mathematical Physics: An Introduction
Type
Physical Book
Publisher
Author
Year
2021
Language
English
Pages
280
Format
Hardcover
ISBN13
9783030734480
Edition No.
1
Categories

The Structures of Mathematical Physics: An Introduction

Steven P. Starkovich (Author) · Springer International Publishing · Hardcover

The Structures of Mathematical Physics: An Introduction - Steven P. Starkovich

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Synopsis "The Structures of Mathematical Physics: An Introduction "

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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