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Matrix Groups for Undergraduates ebook

Matrix Groups for Undergraduates




Author: Kristopher Tapp
Type: eBook
Date Released: 2005
Format: djvu
Language: English
Page Count: 89
Isbn10 Code: 0821837850
Isbn13 Code: 9780821837856


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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