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Group theory in physics. An introduction to symmetry principles, group representations, and special functions in classical and quantum physics. (English) Zbl 0952.81500

Singapore: World Scientific. 336 p. (1985).
Publisher’s description: An introductory textbook for graduates and advanced undergraduates on group representation theory. It emphasizes group theory’s role as the mathematical framework for describing symmetry properties of classical and quantum mechanical systems.
Familiarity with basic group concepts and techniques is invaluable in the education of a modern-day physicist. This book emphasizes general features and methods which demonstrate the power of the group-theoretical approach in exposing the systematics of physical systems with associated symmetry.
Particular attention is given to pedagogy. In developing the theory, clarity in presenting the main ideas and consequences is given the same priority as comprehensiveness and strict rigor. To preserve the integrity of the mathematics, enough technical information is included in the appendices to make the book almost self-contained.
A set of problems and solutions has been published in a separate booklet.

MSC:

81-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory
20C35 Applications of group representations to physics and other areas of science
22E70 Applications of Lie groups to the sciences; explicit representations
81R05 Finite-dimensional groups and algebras motivated by physics and their representations
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