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Matrix Groups for Undergraduates
About this Title
Kristopher Tapp, Williams College, Williamstown, MA
Publication: The Student Mathematical Library
Publication Year
2005: Volume 29
ISBNs: 978-0-8218-3785-6 (print); 978-1-4704-2140-3 (online)
DOI: http://dx.doi.org/10.1090/stml/029
MathSciNet review: MR2141985
MSC: Primary 20-01; Secondary 15-01, 15A30, 17-01, 20G15, 22-01
ReadershipTable of Contents
Front/Back Matter
Chapters
- Why study matrix groups?
- Chapter 1. Matrices
- Chapter 2. All matrix groups are real matrix groups
- Chapter 3. The orthogonal groups
- Chapter 4. The topology of matrix groups
- Chapter 5. Lie algebras
- Chapter 6. Matrix exponentiation
- Chapter 7. Matrix groups are manifolds
- Chapter 8. The Lie bracket
- Chapter 9. Maximal tori