Matrix groups for undergraduates
Tapp, Kristopher
Matrix groups for undergraduates - Rhode Island: American Mathematical Society, 2014. - v, 166p. 22 cm. - Student mathematical library; volume 29 .
Includes bibliographical references and index.
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.
9780821868928
COMPACT GROUPS
LINEAR ALGEBRAIC GROUPS
MATRIX GROUPS
CLASSIFICATION COMPACT
MAXIMAL TORI
512.643 / TAP-M
Matrix groups for undergraduates - Rhode Island: American Mathematical Society, 2014. - v, 166p. 22 cm. - Student mathematical library; volume 29 .
Includes bibliographical references and index.
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.
9780821868928
COMPACT GROUPS
LINEAR ALGEBRAIC GROUPS
MATRIX GROUPS
CLASSIFICATION COMPACT
MAXIMAL TORI
512.643 / TAP-M
