Matrix Groups for Undergraduates

Matrix Groups for Undergraduates

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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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Product details

  • Paperback | 239 pages
  • 140 x 203 x 12.7mm | 294.84g
  • Providence, United States
  • English
  • Revised
  • 2nd Revised edition
  • 1470427222
  • 9781470427221
  • 2,073,249

Table of contents

Why study matrix groups?
Matrices
All matrix groups are real matrix groups
The orthogonal groups
The topology of matrix groups
Lie algebras
Matrix exponentiation
Matrix groups are manifolds
The Lie bracket
Maximal tori
Homogeneous manifolds
Roots
Bibliography
Index
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Review quote

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

Kristopher Tapp, Saint Joseph's University, Philadelphia, PA, USA.
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