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Abstract Algebra
Rok: 1999
ISBN: 9780135693025
OKCZID: 110368261
Citace (dle ČSN ISO 690):
DUMMIT, David Steven. Abstract algebra. 2nd ed. Upper Saddle River, N.J.: Prentice Hall, 1999. xiv, 898 s.
Anotace
Accessible to undergraduates yet its scope and depth also make it ideal for courses at the graduate level.Over 1500 exercises, many with multiple parts, ranging in scope from routine to fairly sophisticated, and ranging in purpose from basic application of text material to exploration of important theoretical or computational techniques.The structure of the book permits instructors and students to pursue certain areas from their beginnings to an in-depth treatment, or to survey a wider range of areas, seeing how various themes recur and how different structures are related.The emphasis throughout has been to motivate the introduction and development of important algebraic concepts using as many examples as possible.Contains many topics not usually found in introductory texts. Students are able to see how these fit naturally into the main themes of algebra. Examples of these topics include:Rings of algebraic integers Semidirect products and the theory of extensionsCriteria for Principal Ideal DomainsCriteria for the solvability of a quinticDedekind Domains