Matrix groups for undergraduates
Material type:
TextSeries: Student mathematical libraryPublication details: Rhode Island American mathematical society 2016Edition: 2Description: viii, 239 pISBN: 9781470454876Subject(s): Matrix groups | Linear algebraic groups | Compact groups | Lie groups | Group theory and generalizations -- Research exposition (monographs, survey articles) | Group theory and generalizations -- Linear algebraic groups and related topics -- Linear algebraic groups over the reals, the complexes, the quaternions | Group theory and generalizations -- Representation theory of groups -- Group rings of finite groups and their modules | Topological groups, Lie groups -- Lie groups -- General properties and structure of real Lie groupsDDC classification: 512.2 Summary: 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.
| Item type | Current library | Collection | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|
BK
|
Stack | Stack | 512.2 TAP/M (Browse shelf (Opens below)) | Available | 59788 |
Browsing Kannur University Central Library shelves, Shelving location: Stack, Collection: Stack Close shelf browser (Hides shelf browser)
|
|
|
|
|
|
|
||
| 512.2 EMM/I Idempotent matrices over complex group algebras | 512/.2 MA/G Group theory for physicists | 512.2 RAM/G Group theory for physicists : with applications | 512.2 TAP/M Matrix groups for undergraduates | 512.24 BAL/B Basic commutative algebra | 512.3 GAL Galois groups and fundamental groups | 512.3 TIG/G Galois' theory of algebraic equations |
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.
There are no comments on this title.