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.Download
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