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Group Theory in a Nutshell for Physicists

  • von A. Zee
  • 10. August 2016
thumbnail image: Group Theory in a Nutshell for Physicists

A. Zee: Group Theory in a Nutshell for Physicists, Princeton University Press 2016, 632 S., geb., 90 $, ISBN: 9780691162690

Although group theory is a mathematical subject, it is indispensable to many areas of modern theoretical physics, from atomic physics to condensed matter physics, particle physics to string theory. In particular, it is essential for an understanding of the fundamental forces. Yet until now, what has been missing is a modern, accessible, and self-contained textbook on the subject written especially for physicists.

Group Theory in a Nutshell for Physicists fills this gap, providing a user-friendly and classroom-tested text that focuses on those aspects of group theory physicists most need to know. From the basic intuitive notion of a group, A. Zee takes readers all the way up to how theories based on gauge groups could unify three of the four fundamental forces. He also includes a concise review of the linear algebra needed for group theory, making the book ideal for self-study.

Provides physicists with a modern and accessible introduction to group theory
Covers applications to various areas of physics, including field theory, particle physics, relativity, and much more
Topics include finite group and character tables; real, pseudoreal, and complex representations; Weyl, Dirac, and Majorana equations; the expanding universe and group theory; grand unification; and much more
The essential textbook for students and an invaluable resource for researchers
Features a brief, self-contained treatment of linear algebra
An online illustration package is available to professors
Solutions manual (available only to professors)

A. Zee is professor of physics at the Kavli Institute for Theoretical Physics at the University of California, Santa Barbara. His books include Quantum Field Theory in a Nutshell, Einstein Gravity in a Nutshell, and Fearful Symmetry: The Search for Beauty in Modern Physics (all Princeton).

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