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Matrix Groups for Undergraduates
Kristopher Tapp
Price
1020.00
ISBN
9780821868928
Language
English
Pages
176
Format
Paperback
Dimensions
140 x 216 mm
Year of Publishing
2011
Territorial Rights
Restricted
Imprint
American Mathematical Society
Catalogues

Matrix groups are a beautiful subject and are central to many fields in mathematics and physics. They touch upon an enormous spectrum within the mathematical arena. This textbook brings them into the undergraduate curriculum. It is excellent for a 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 basic objects of Lie theory: Lie algebras, matrix exponentiation, Lie brackets, and maximal tori. The volume is suitable for graduate students and researchers interested in group theory.

Kristopher Tapp, Williams College, Williamstown, MA
Why study matrix groups?
  1. Matrices
  2. All matrix groups are real matrix groups
  3. The orthogonal groups
  4. The topology of matrix groups
  5. Lie algebras
  6. Matrix exponentiation
  7. Matrix groups are manifolds
  8. The Lie bracket
  9. Maximal tori
Bibliography
Index
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