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.

About the Author

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.

"About this title" may belong to another edition of this title.

Store Description

We carry a wide selection of books from South Asia, United States, UK.

Visit Seller's Storefront

Seller's business information

Readingos GmbH
Kaiserstra�e 47, Frankfurt am Main, 60329, Germany

Sale & Shipping Terms

Terms of Sale

Shipping Terms

To ensure faster delivery, books may be shipped from any of the following locations Germany, the United Kingdom (UK), the United States (US), based on the buyer's address and product availability.

Shipping rates from Germany to U.S.A.

Shipping rates from Germany to U.S.A.
Order quantity	25 to 45 business days	8 to 14 business days
First item	US$ 11.49	US$ 21.59

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.