Matrix groups for undergraduates
Material type: TextSeries: Student mathematical library; volume 29Publication details: Rhode Island: American Mathematical Society, 2014. Description: v, 166p. 22 cmISBN: 9780821868928Subject(s): COMPACT GROUPS | LINEAR ALGEBRAIC GROUPS | MATRIX GROUPS | CLASSIFICATION COMPACT | MAXIMAL TORIDDC classification: 512.643 Summary: 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.Item type | Current library | Call number | Status | Date due | Barcode |
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NBHM Books | SMS Library | 512.643 TAP-M (Browse shelf(Opens below)) | Available | N375 |
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512.643 SHA-L Linear algebra and matrices: topics for a second course | 512.643 TAO-T Topics in random matrix theory | 512.643 TAO-T Topics in random matrix theory | 512.643 TAP-M Matrix groups for undergraduates | 512.643 ZHA-M Matrix theory | 512.643.3 ROT-G Galois theory | 512.643.4 HIA-I Introduction to matrix analysis and applications |
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.
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