Groups, Matrices, and Vector Spaces: A Group Theoretic Approach to Linear Algebra
Language: English
Published by Springer Verlag, 2017
Series: Book 211 of 261 - Universitext
- Hardcover
- New
Seller: Revaluation Books, Exeter, United KingdomRevaluation Books
AbeBooks seller since January 6, 2003
Condition: New
£ 105.82
Quantity: 2 available
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470 pages. 9.25x6.25x1.00 inches. In Stock.
Seller Inventory # x-0387794271
- Title
- Groups, Matrices, and Vector Spaces: A Group Theoretic Approach to Linear Algebra
- Author
- Carrell, James
- Publisher
- Springer Verlag
- Publication year
- 2017
- Condition
- Brand New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0387794271
- ISBN 13
- 9780387794273
- Item weight
- 0.86 kilograms
- Series
- Book 211 of 261: Universitext
This unique text provides a geometric approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects interact. Requiring few prerequisites beyond understanding the notion of a proof, the text aims to give students a strong foundation in both geometry and algebra. Starting with preliminaries (relations, elementary combinatorics, and induction), the book then proceeds to the core topics: the elements of the theory of groups and fields (Lagrange's Theorem, cosets, the complex numbers and the prime fields), matrix theory and matrix groups, determinants, vector spaces, linear mappings, eigentheory and diagonalization, Jordan decomposition and normal form, normal matrices, and quadratic forms. The final two chapters consist of a more intensive look at group theory, emphasizing orbit stabilizer methods, and an introduction to linear algebraic groups, which enriches the notion of a matrix group.
Applications involving symm
etry groups, determinants, linear coding theory and cryptography are interwoven throughout. Each section ends with ample practice problems assisting the reader to better understand the material. Some of the applications are illustrated in the chapter appendices. The author's unique melding of topics evolved from a two semester course that he taught at the University of British Columbia consisting of an undergraduate honors course on abstract linear algebra and a similar course on the theory of groups. The combined content from both makes this rare text ideal for a year-long course, covering more material than most linear algebra texts. It is also optimal for independent study and as a supplementary text for various professional applications. Advanced undergraduate or graduate students in mathematics, physics, computer science and engineering will find this book both useful and enjoyable."Synopsis" may belong to another edition of this title.
About the Author
"About the title" may belong to another edition of this title.
Revaluation Books
Exeter, United Kingdom
AbeBooks seller since January 6, 2003
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Edward Bowditch Ltd
Exstowe, Exton
Exeter, United Kingdom EX3 0PP
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