Groups, Matrices, and Vector Spaces : A Group Theoretic Approach to Linear Algebra

Language: English

Published by Springer, 2017

0387794271 / 9780387794273

Series: Book 211 of 261 - Universitext

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - This uniquetext 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 symmetry 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.

Seller Inventory # 9780387794273

Title
Groups, Matrices, and Vector Spaces : A Group Theoretic Approach to Linear Algebra
Author
James B. Carrell
Publisher
Springer
Publication year
2017
Condition
Neu
Binding
Buch
Language
English
ISBN 10
0387794271
ISBN 13
9780387794273
Item weight
883 grams
Dimensions
241x160x27 mm
Series
Book 211 of 261: Universitext

AHA-BUCH GmbH

Einbeck, Germany

5-star seller

AbeBooks seller since August 14, 2006

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Item5 to 7 business days7 to 10 business days
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