
Ebook: Matrix Groups for Undergraduates
Author: Kristopher Tapp
- Tags: Group Theory, Pure Mathematics, Mathematics, Science & Math, Mathematics, Algebra & Trigonometry, Calculus, Geometry, Statistics, Science & Mathematics, New Used & Rental Textbooks, Specialty Boutique
- Series: STML 079
- Year: 2016
- Publisher: American Mathematical Society
- Edition: 2nd
- Language: English
- pdf
Matrix groups touch an enormous spectrum of the mathematical arena. This textbook brings them into the undergraduate curriculum. It makes an excellent 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 Read more...
Abstract: Matrix groups touch an enormous spectrum of the mathematical arena. This textbook brings them into the undergraduate curriculum. It makes an excellent 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 the basic objects of Lie theory: Lie algebras, matrix exponentiation, Lie brackets, ma