Matrix Groups for Undergraduates by Kristopher Tapp

Matrix Groups for Undergraduates



Download Matrix Groups for Undergraduates




Matrix Groups for Undergraduates Kristopher Tapp
Language: English
Page: 89
Format: djvu
ISBN: 0821837850, 9780821837856
Publisher: American Mathematical Society

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.

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