A first course in abstract algebra; rings, groups, and fields, 2d ed.

QA162

2004-061805

1-58488-515-7

A first course in abstract algebra

This article is about the branch of mathematics. For other uses of the term "algebra" see algebra (disambiguation).

Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, ; rings, groups, and fields, 2d ed.

Anderson, Marlow and Todd Feil.

Chapman & Hall/CRC, [c]2005

673 p.

$89.95

In order to engage and motivate students approaching abstract algebra for the first time, Anderson (mathematics, The Colorado College) and Feil (mathematics and computer science, Denison University Denison University is a highly selective private liberal arts and sciences college in Granville, Ohio, approximately 30 miles (50 km) east of Columbus. Denison was founded in 1831. It has a current enrollment of about 2,000 students. ) begin this text with ring theory, building upon assumed familiarity with integers and polynomials, and introduce groups later. Each section of the book ends with a synopsis of important definitions and theorems This is a list of theorems, by Wikipedia page. See also

list of fundamental theorems
list of lemmas
list of conjectures
list of inequalities
list of mathematical proofs
list of misnamed theorems
Existence theorem

, and each chapter includes exercises designed to be worked as the text is read, as well as exercises that test fundamental comprehension and problem sets containing computational and proof problems. Hints and answers are also included. A typical calculus calculus, branch of mathematics that studies continuously changing quantities. The calculus is characterized by the use of infinite processes, involving passage to a limit—the notion of tending toward, or approaching, an ultimate value. sequence is assumed.

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Title Annotation:	MATH, COMPUTERS
Publication:	SciTech Book News
Article Type:	Book Review
Date:	Jun 1, 2005
Words:	130
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