Abstract algebra
 Author/Creator
 Solomon, Ronald.
 Language
 English.
 Imprint
 Providence, R.I. : American Mathematical Society, [2009?]
 Physical description
 xii, 227 p. : ill. ; 24 cm.
 Series

Pure and applied undergraduate texts ; 9.
Sally series (Providence, R.I.)
Access
Available online

Stacks

Unknown
QA162 .S63 2009

Unknown
QA162 .S63 2009
More options
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Publisher's Summary
 This undergraduate text takes a novel approach to the standard introductory material on groups, rings, and fields. At the heart of the text is a semihistorical journey through the early decades of the subject as it emerged in the revolutionary work of Euler, Lagrange, Gauss, and Galois. Avoiding excessive abstraction whenever possible, the text focuses on the central problem of studying the solutions of polynomial equations. Highlights include a proof of the Fundamental Theorem of Algebra, essentially due to Euler, and a proof of the constructability of the regular 17gon, in the manner of Gauss. Another novel feature is the introduction of groups through a meditation on the meaning of congruence in the work of Euclid. Everywhere in the text, the goal is to make clear the links connecting abstract algebra to Euclidean geometry, high school algebra, and trigonometry, in the hope that students pursuing a career as secondary mathematics educators will carry away a deeper and richer understanding of the high school mathematics curriculum. Another goal is to encourage students, insofar as possible in a textbook format, to build the course for themselves, with exercises integrally embedded in the text of each chapter.
(source: Nielsen Book Data)
Subjects
 Subject
 Algebra, Abstract > Textbooks.
 Algebra.
Bibliographic information
 Reprint/reissue date
 2009
 Original date
 2003
 Responsibility
 Ronald Solomon.
 Series
 Pure and applied undergraduate texts ; 9
 The Sally series
 Note
 Originally published: Belmont, CA : Thompson Brooks/Cole, c2003.
 ISBN
 9780821847954 (alk. paper)
 0821847953 (alk. paper)