Matrix groups for undergraduates

Matrix groups for undergraduates

by Tapp, Kristopher

Type Book
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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 intuiti…

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Title Statements

  • Full title :Matrix groups for undergraduates / Kristopher Tapp.

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.

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Edition Statements

  • Publication Date:2016.
  • Edition:2nd ed

Publication Statements

The Physical Object

  • Description:vii, 239 s. : : illustrations.

Edition Identifiers

  • ISBN:9781470427221, 1470427222
  • oclc:on1001698593

Subjects

Groupes orthogonaux Gruppteori Lie, Àlgebres de Matrices, Groupes de

Writers

Tapp, Kristopher

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