TY  - BOOK
AU  - Tapp,Kristopher
TI  - Matrix groups for undergraduates 
T2  - Student mathematical library
SN  - 9781470454876
U1  - 512.2 
PY  - 2016///
CY  - Rhode Island
PB  - American mathematical society
KW  - Matrix groups
KW  - Linear algebraic groups
KW  - Compact groups
KW  - Lie groups
KW  - Group theory and generalizations -- Research exposition (monographs, survey articles)
KW  - Group theory and generalizations -- Linear algebraic groups and related topics -- Linear algebraic groups over the reals, the complexes, the quaternions
KW  - Group theory and generalizations -- Representation theory of groups -- Group rings of finite groups and their modules
KW  - Topological groups, Lie groups -- Lie groups -- General properties and structure of real Lie groups
N2  - 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
ER  -