Matrix Groups for Undergraduates

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Matrix Groups for Undergraduates

Matrix Groups for Undergraduates

Name: Matrix Groups for Undergraduates
ISBN: 9780821837856

Kristopher Tapp

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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.

Kategorie:

Mathematics

Rok:

2005

Wydawnictwo:

American Mathematical Society

Język:

english

Strony:

175

ISBN 10:

0821837850