ENGLISH

Matrix Groups for Undergraduates

By Kristopher Tapp

Book information

Publisher
American Mathematical Society
Year
2016
ISBN
1470427222, 9781470427221
Language
english
Format
PDF
Filesize
3 MB (2952927 bytes)
Series
Student Mathematical Library 79
Edition
2nd
Pages
239\250
Time added
2017-12-31 10:24:13
Group Theory;Pure Mathematics;Mathematics;Algebra;

Description

Matrix groups touch an enormous spectrum of the mathematical arena. This textbook brings them into the undergraduate curriculum. It makes an excellent one-semester course for students familiar with linear and abstract algebra and prepares them for a graduate course on Lie groups. Matrix Groups for Undergraduates is concrete and example-driven, with geometric motivation and rigorous proofs. The story begins and ends with the rotations of a globe. In between, the author combines rigor and intuition to describe the basic objects of Lie theory: Lie algebras, matrix exponentiation, Lie brackets, maximal tori, homogeneous spaces, and roots. This second edition includes two new chapters that allow for an easier transition to the general theory of Lie groups.

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