Matrix Groups for Undergraduates (Student Mathematical Library) (Student Mathematical Library, 79)

Kristopher Tapp

ISBN 10: 1470427222 / ISBN 13: 9781470427221

Published by American Mathematical Society, 2016

About this Item

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Bibliographic Details

Title: Matrix Groups for Undergraduates (Student ...

Publisher: American Mathematical Society

Publication Date: 2016

Binding: paperback

Condition: Good

Edition: 2nd Edition

About this title

Synopsis:

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.

Review:

The author gives an inspiring presentation of the topics presented in this book. - Erich W. Ellers, Zentralblatt Math