The structures of mathematical physics [electronic resource] : an introduction / Steven P. Starkovich.

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The structures of mathematical physics [electronic resource] : an introduction / Steven P. Starkovich.

9783030734497 (electronic bk.)
3030734498 (electronic bk.)
303073448X
9783030734480

Cham : Springer, 2021.

English

1 online resource

10.1007/978-3-030-73449-7 doi

QC20

530.15

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed August 9, 2021).

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