Overview
Ideal for self-study or for use in the classroom
Includes many physical applications, particularly in quantum physics and relativity
Provides ample exercises for practice of the definitions and techniques
Includes supplementary material: sn.pub/extras
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Table of contents (6 chapters)
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Front Matter
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Linear Algebra and Tensors
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Front Matter
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Group Theory
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Front Matter
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Back Matter
Keywords
About this book
An Introduction to Tensors and Group Theory for Physicists provides both an intuitive and rigorous approach to tensors and groups and their role in theoretical physics and applied mathematics. A particular aim is to demystify tensors and provide a unified framework for understanding them in the context of classical and quantum physics. Connecting the component formalism prevalent in physics calculations with the abstract but more conceptual formulation found in many mathematical texts, the work will be a welcome addition to the literature on tensors and group theory.
Part I of the text begins with linear algebraic foundations, follows with the modern component-free definition of tensors, and concludes with applications to classical and quantum physics through the use of tensor products. Part II introduces abstract groups along with matrix Lie groups and Lie algebras, then intertwines this material with that of Part I by introducing representation theory.  Exercises and examples are provided throughout for good practice in applying the presented definitions and techniques. Advanced undergraduate and graduate students in physics and applied mathematics will find clarity and insight into the subject in this textbook.
Authors and Affiliations
Bibliographic Information
Book Title: An Introduction to Tensors and Group Theory for Physicists
Authors: Nadir Jeevanjee
DOI: https://doi.org/10.1007/978-0-8176-4715-5
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LCC 2011
eBook ISBN: 978-0-8176-4715-5Published: 26 August 2011
Edition Number: 1
Number of Pages: XVI, 242
Number of Illustrations: 12 b/w illustrations
Topics: Mathematical Physics, Mathematical Methods in Physics, Linear and Multilinear Algebras, Matrix Theory, Applications of Mathematics, Quantum Physics