Group Theory

Download E-books Matrix Groups for Undergraduates (Student Mathematical Library) PDF

Matrix teams contact an immense spectrum of the mathematical area. This textbook brings them into the undergraduate curriculum. It makes a superb one-semester path for college students accustomed to linear and summary algebra and prepares them for a graduate direction on Lie teams. Matrix teams for Undergraduates is concrete and example-driven, with geometric motivation and rigorous proofs. the tale starts and ends with the rotations of a globe. In among, the writer combines rigor and instinct to explain the elemental gadgets of Lie concept: Lie algebras, matrix exponentiation, Lie brackets, maximal tori, homogeneous areas, and roots. This moment version comprises new chapters that let for a better transition to the final conception of Lie teams.

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