Matrix groups for undergraduates
著者
書誌事項
Matrix groups for undergraduates
（Student mathematical library, v. 29）
American Mathematical Society, c2005
- : pbk
大学図書館所蔵 件 / 全33件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. 163) and index
内容説明・目次
内容説明
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"" 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 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.
目次
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 Bibliography Index.
「Nielsen BookData」 より