TY  - BOOK
AU  - Tapp, Kristopher
TI  - Matrix groups for undergraduates
SN  - 9780821868928
U1  - 512.643 
PY  - 2014///
CY  - Rhode Island
PB  - American Mathematical Society
KW  - COMPACT GROUPS
KW  - LINEAR ALGEBRAIC GROUPS
KW  - MATRIX GROUPS
KW  - CLASSIFICATION COMPACT
KW  - MAXIMAL TORI
N1  - Includes bibliographical references and index
N2  - 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 are 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 rigour and intuition to describe the 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
ER  -