Overview
Group representation theory is both elegant and practical, with important applications to quantum mechanics, spectroscopy, crystallography, and other fields in the physical sciences. Until now, however, there have been virtually no accessible treatments of group theory that include representations and characters. The classic works in the field require a high level of mathematical sophistication, and other texts omit representations and characters.Groups and Characters offers an easy-to-follow introduction to the theory of groups and of group characters. Designed as a rapid survey of the subject, this unique text emphasizes examples and applications of the theorems, and avoids many of the longer and more difficult proofs. The author presents group theory through the Sylow Theorems and includes the full subgroup structure of A5. Representations and characters are worked out with numerous character tables, along with real and induced characters that lead to the table for S5. The text includes specific sections that provide the mathematical basis for some of the important applications of group theory in spectroscopy and molecular structure. It also offers numerous exercises-some stressing computation of concrete examples, others stressing development of the mathematical theory. Groups and Characters provides the ideal grounding for more advanced studies with the classic texts, and for more broad-based work in abstract algebra. Furthermore, physical scientists-whose experience with groups and characters may not be rigorous-will find Groups and Characters the ideal means for gaining a sense of the mathematics lying behind the techniques used in applications.
Full Product Details
Author: Victor E Hill ,
Thomas T. Read
Publisher: Taylor & Francis Inc
Imprint: Chapman & Hall/CRC
Dimensions:
Width: 15.60cm
, Height: 1.30cm
, Length: 23.40cm
Weight: 0.470kg
ISBN: 9781584880387
ISBN 10: 1584880384
Pages: 239
Publication Date: 22 November 1999
Audience:
College/higher education
,
Professional and scholarly
,
Undergraduate
,
Postgraduate, Research & Scholarly
Format: Paperback
Publisher's Status: Active
Availability: In Print
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.
Reviews
...rigorous and appropriate...excellent starting point for anyone interested in the theory of groups, representations and characters. Upper division undergraduates through professionals. -D. S. Larson, Gonzago University in CHOICE
rigorous and appropriateexcellent starting point for anyone interested in the theory of groups, representations and characters. Upper division undergraduates through professionals. -D. S. Larson, Gonzago University in CHOICE
