Illustrating the fascinating interplay between physics and mathematics, this book provides a solid grounding in the theory of groups, and particularly of group representations. The book will give the reader a firm grasp of the basics to enable further study as necessary. The approach taken allows the physics student to recognise the power and elegance of the abstract, axiomatic method. However, the formal mathematical definitions and proofs are always illustrated by concrete examples, and chapters developing the formalism are closely followed by chapters dealing with the physical applications. Problems are given after each chapter, with worked solutions at the end of the book. Intended for third year physics undergraduates specializing in theoretical physics but also of interest to mathematics undergraduates and first year postgraduates.
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This work seems to cover virtually all the problems of physics for which group theory is helpful...strikes a good balance between mathematics and physical applications and should be valuable to researchers. It is well printed and produced and the paperback edition is good value.
Aimed primarily at third-year physics undergraduates, and stressing the interplay between mathematics and physics, this text uses examples and illustrations to explain various mathematical structures and theorems, including the theory of vector spaces and the representation theory of groups. The first few chapters of the book provide a systematic development of the theory of finite groups and their representations, followed by their applications to various physical systems. The theory of the rotation groups SO(2) and SO(3) are then developed, along with the SU(N), Lorentz and Poincare groups. The text concludes with a chapter on gauge groups. Although focusing on undergraduate study, the text should also be of benefit to first-year postgraduates in solid-state, atomic or elementary particle physics. A reasonable acquaintance with quantum mechanics is assumed.
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