Matrix groups for undergarduates

By: Kristopher TappMaterial type: TextTextSeries: Student Mathematical Library ; Vol. 29Publication details: Rhode Island: American Mathematical Society, [c2005]Description: 166 pISBN: 9780821868928Subject(s): MathematicsLOC classification: QA171
Contents:
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
Summary: 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. --- summary provided by publisher
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 4 QA171 (Browse shelf (Opens below)) Available Billno:IN 003 582; Billdate: 2018-01-11 00956
Total holds: 0

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

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. --- summary provided by publisher

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