文档介绍：THE RANDOM HBUSEIBIRKHAUSER MATHEMAT . .,!--- .., -, <:. 7 ., - . . 1 - . - . . - ., . . .. . . MATH EI-YTICS MATHEMATICAL PROOF AND STRUCTURES BRIDGE TO ABSTRACT MATHEMATICS Mathematical Proof and Structures The Random House/Birkhaoser Mathematics Series: INVITATION PLEX ANALYSIS by R. P. Boas BRIDGE TO ABSTRACT MATHEMATICS: MATHEMATICAL PROOF AND STRUCTURES by Ronald P. Morash ELEMENTARY NUMBER THEORY by Charles Vanden Eynden INTRODUCTION TO ABSTRACT ALGEBRA by Elbert Walker BRIDGE TO ABSTRACT MATHEMATICS Mathematical Proof and Structures Ronald E Morash University of Michigan, Dearborn The Random House/Birkhauser Mathematics Series Random House, Inc. & New York First Edition Copyright @ 1987 by Random House, Inc. All rights reserved under International and Pan-American Copyright Conventions. No part of this book may be reproduced in any form or by any means, electronic or mechanical, including photocopying, without permission in writing from the publisher. All inquiries should be addressed to Random House, Inc., 201 East 50th Street, New York, . 10022. Published in the United States by Random House, Inc., and simultaneously in Canada by Random House of Canada Limited, Toronto. i Library of Congress Cataloging in Publication Data Morash, Ronald P. Bridge to abstract mathematics. Includes index. 1. Logic, Symbolic and mathematical. 2. Mathematics -1961- . I. Title. 1987 86-21931 ISBN 0-394-35429-X Manufactured in the United States of America to my family Preface This text is directed toward the sophomore through senior levels of uni- versity mathematics, with a tilt toward the former. It presumes that the student pleted at least one semester, and preferably a full year, of calculus. The text is a product of fourteen years of experience, on the part of the author, in teaching a not-mon course to students with a mon need. The course is taken predominantly by sophomores and juniors from various fields of concentration who expect to enroll i