Matrix Groups for Undergraduates - Tapp Kristopher
Matrix Groups for Undergraduates - Tapp Kristopher Matrix groups are a beautiful subject and are central to many fields in mathematics and physics. This textbook brings them into the undergraduate…
Specifikacia Matrix Groups for Undergraduates - Tapp Kristopher
Matrix Groups for Undergraduates - Tapp Kristopher
Matrix groups are a beautiful subject and are central to many fields in mathematics and physics. This textbook brings them into the undergraduate curriculum. They touch upon an enormous spectrum within the mathematical arena.
Matrix Groups for Undergraduates is concrete and example-driven, with geometric motivation and rigorous proofs. 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. 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.