ISBN 9780821868928,Matrix Groups For Undergraduates

Matrix Groups For Undergraduates


Universities Press

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ISBN 9780821868928

Universities Press

Publication Year 2011

ISBN 9780821868928

ISBN-10 0821868926

Paper Back

Number of Pages 176 Pages
Language (English)

Literature fiction

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