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Groups and Characters (Hardcover)
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Groups and Characters (Hardcover)
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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.
General
Imprint: |
Crc Press
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Country of origin: |
United Kingdom |
Release date: |
August 2017 |
First published: |
2000 |
Authors: |
Victor E. Hill
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Dimensions: |
167 x 241 x 21mm (L x W x T) |
Format: |
Hardcover
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ISBN-13: |
978-1-138-40196-9 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
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LSN: |
1-138-40196-X |
Barcode: |
9781138401969 |
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