The Structures of Mathematical Physics

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

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.

Zusammenfassung

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

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2022
Fachbereich:	Theoretische Physik
Genre:	Physik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Seiten:	280
Inhalt:	xxii 258 S. 86 s/w Illustr. 258 p. 86 illus.
ISBN-13:	9783030734510
ISBN-10:	303073451X
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Starkovich, Steven P.
Auflage:	1st ed. 2021
Hersteller:	Springer International Publishing
Maße:	235 x 155 x 16 mm
Von/Mit:	Steven P. Starkovich
Erscheinungsdatum:	23.07.2022
Gewicht:	0,429 kg

preigu-id: 122058034