The structures of mathematical physics : an introduction / Steven P. Starkovich.

Format:

Book

Author/Creator:

Starkovich, Steven P.

Language:

English

Subjects (All):

Mathematical physics.

Genre:

Electronic books.

Physical Description:

1 online resource

Place of Publication:

Cham : Springer, 2021.

System Details:

text file

Summary:

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.

Contents:

Preface and Acknowledgements

Sets and Relations

Mappings and Functions

Rings and Fields

Linear Vector Spaces

Algebras

Basic Topology and Topological Groups

Topological Vector Spaces

Measure, Integration and Hilbert Space

Operators and Spectra

Annotated Bibliography and a Guide to Further Reading

Index.

Notes:

Includes bibliographical references and index.

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

ISBN:

9783030734497

3030734498

OCLC:

1261304406

Access Restriction:

Restricted for use by site license.