Opis: Matrix Groups for Undergraduates - Kristopher Tapp

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, maximal tori, homogeneous spaces, and roots. This second edition includes two new chapters that allow for an easier transition to the general theory of Lie groups.* Why study matrix groups?* Matrices* All matrix groups are real matrix groups* The orthogonal groups* The topology of matrix groups* Lie algebras* Matrix exponentiation* Matrix groups are manifolds* The Lie bracket* Maximal tori* Homogeneous manifolds* Roots* Bibliography* Index

Szczegóły: Matrix Groups for Undergraduates - Kristopher Tapp

Tytuł: Matrix Groups for Undergraduates
Autor: Kristopher Tapp
Wydawnictwo: American Mathematical Society
ISBN: 9781470427221
Rok wydania: 2016
Ilość stron: 239
Oprawa: Miękka

Recenzje: Matrix Groups for Undergraduates - Kristopher Tapp