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Abstract Algebra - 9781584886891

Un libro in lingua di Garrett Paul B. edito da Taylor & Francis, 2007

  • € 91.20
  • Il prezzo è variabile in funzione del cambio della valuta d’origine

Garrett (mathematics, University of Minnesota) takes an example-oriented, less heavily symbolic approach to abstract algebra. He emphasizes specifics such as basic number theory, polynomials, and finite fields, as well as linear and multilinear algebra. An unusual feature of the book is the systematic characterization of objects by universal mapping properties, rather than by constructions whose technical details are irrelevant. In addition to standard introductory material on the subject, such as Lagrange's and Sylow's theorems in group theory, the text provides specific illustrations of general theory, discussing in detail finite fields, cyclotomic polynomials, and cyclotomic fields. It also focuses on broader background, with brief but representative discussions of naïve set theory and equivalents of the Axiom of Choice, quadratic reciprocity, and basic complex analysis. Worked examples, solutions, and exercises are included. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)

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