Undergraduate Algebra

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ISBN-13:
9780387220253
Einband:
HC runder Rücken kaschiert
Erscheinungsdatum:
21.03.2005
Seiten:
404
Autor:
Serge Lang
Gewicht:
770 g
Format:
241x160x27 mm
Sprache:
Englisch
Beschreibung:

Undergraduate Algebra is a text for the standard undergraduate algebra course. It concentrates on the basic structures and results of algebra, discussing groups, rings, modules, fields, polynomials, finite fields, Galois Theory, and other topics. The author has also included a chapter on groups of matrices which is unique in a book at this level. Throughout the book, the author strikes a balance between abstraction and concrete results, which enhance each other. Illustrative examples accompany the general theory. Numerous exercises range from the computational to the theoretical, complementing results from the main text.
* Foreword * The Integers * Groups * Rings * Polynomials * Vector Spaces and Modules * Some Linear Groups * Field Theory * Finite Fields * The Real and Complex Numbers * Sets * Appendix * Index
The companion title, Linear Algebra, has sold over 8,000 copiesThe writing style is very accessibleThe material can be covered easily in a one-year or one-term courseIncludes Noah Snyder's proof of the Mason-Stothers polynomial abc theoremNew material included on product structure for matrices including descriptions of the conjugation representation of the diagonal group

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