Description |
1 online resource |
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 |
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 |
Bibliography |
Includes bibliographical references and index |
Notes |
Online resource; title from PDF title page (SpringerLink, viewed August 9, 2021) |
Subject |
Mathematical physics.
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Mathematical physics
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Form |
Electronic book
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ISBN |
9783030734497 |
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3030734498 |
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