Undergraduate Algebra

 Buch
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ISBN-13:
9780387220253
Einband:
Buch
Erscheinungsdatum:
01.12.2004
Seiten:
385
Autor:
Serge Lang
Gewicht:
766 g
Format:
241x161x30 mm
Serie:
Undergraduate Texts in Mathematics
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 copies
The writing style is very accessible

The material can be covered easily in a one-year or one-term course

Includes Noah Snyder's proof of the Mason-Stothers polynomial abc theorem

New material included on product structure for matrices including descriptions of the conjugation representation of the diagonal group

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