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  3. An Introduction to Groups and their Matrices for Science Students
  • Cited by 1
Publisher:
Cambridge University Press
Online publication date:
May 2022
Print publication year:
2022
Online ISBN:
9781108923217
DOI:
https://doi.org/10.1017/9781108923217
Subjects:
Mathematics, Physics and Astronomy, Mathematical Methods, Algebra
Information

Book description

Group theory, originating from algebraic structures in mathematics, has long been a powerful tool in many areas of physics, chemistry and other applied sciences, but it has seldom been covered in a manner accessible to undergraduates. This book from renowned educator Robert Kolenkow introduces group theory and its applications starting with simple ideas of symmetry, through quantum numbers, and working up to particle physics. It features clear explanations, accompanying problems and exercises, and numerous worked examples from experimental research in the physical sciences. Beginning with key concepts and necessary theorems, topics are introduced systematically including: molecular vibrations and lattice symmetries; matrix mechanics; wave mechanics; rotation and quantum angular momentum; atomic structure; and finally particle physics. This comprehensive primer on group theory is ideal for advanced undergraduate topics courses, reading groups, or self-study, and it will help prepare graduate students for higher-level courses.

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Contents

Contents
  • 1 - Fundamental Concepts
    pp 1-25
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