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Groups, Matrices, and Vector Spaces: A Group Theoretic Approach to Linear Algebra (Universitext)
James B. Carrell
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Description for Groups, Matrices, and Vector Spaces: A Group Theoretic Approach to Linear Algebra (Universitext)
Hardcover. .
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 ... Read more
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 ... Read more
Product Details
Publisher
Springer
Format
Hardback
Publication date
2017
Series
Universitext
Condition
New
Number of Pages
410
Place of Publication
New York, NY, United States
ISBN
9780387794273
SKU
V9780387794273
Shipping Time
Usually ships in 4 to 8 working days
Ref
99-1
About James B. Carrell
James B. Carrell is Professor Emeritus of mathematics at the University of British Columbia. His research areas include algebraic transformation groups, algebraic geometry, and Lie theory.
Reviews for Groups, Matrices, and Vector Spaces: A Group Theoretic Approach to Linear Algebra (Universitext)
This is an introductory text on linear algebra and group theory from a geometric viewpoint. The topics, largely standard, are presented in brief, well-organized one- and two-page subsections written in clear, if rather pedestrian, language, with detailed examples. (R. J. Bumcrot, Mathematical Reviews, February, 2018) It is particularly applicable for anyone who is familiar with ... Read more