E-Book Overview
This introduction to modern or abstract algebra addresses the conventional topics of groups, rings, and fields with symmetry as a unifying theme, while it introduces readers to the active practice of mathematics. Its accessible presentation is designed to teach users to think things through for themselves and change their view of mathematics from a system of rules and procedures, to an arena of inquiry. The volume provides plentiful exercises that give users the opportunity to participate and investigate algebraic and geometric ideas which are interesting, important, and worth thinking about. The volume addresses algebraic themes, basic theory of groups and products of groups, symmetries of polyhedra, actions of groups, rings, field extensions, and solvability and isometry groups. For those interested in a concrete presentation of abstract algebra.
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ALGEBRA ABSTRACT AND CONCRETE E DITION 2.5
F REDERICK M. G OODMAN U NIVERSITY OF I OWA
Semisimple Press Iowa City, IA
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Library of Congress Cataloging-in-Publication Data Goodman, Frederick M. Algebra: abstract and concrete / Frederick M. Goodman— ed. 2.5 p. cm. Includes index. ISBN 1.Algebra. I. Title QA155 .R64 2006 512–dc21
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2006, 2003, 1998 by Frederick M. Goodman Semisimple Press Iowa City, IA
All rights reserved. No part of this book may be reproduced, in any form or by any means, without permission in writing from the publisher. The first and second editions of this book were published by Pearson Education, Inc.
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