文档介绍:A Transition to Advanced Mathematics
This page intentionally left blank
A Transition to Advanced
Mathematics
A Survey Course
William Johnston
Alex M. McAllister
3
2009
3
Oxford University Press, Inc., publishes works that further
Oxford University’s objective of excellence
in research, scholarship, and education.
Oxford New York
Auckland Cape Town Dar es Salaam Hong Kong Karachi
Kuala Lumpur Madrid Melbourne Mexico City Nairobi
New Delhi Shanghai Taipei Toronto
With offices in
Argentina Austria Brazil Chile Czech Republic France Greece
Guatemala Hungary Italy Japan Poland Portugal Singapore
South Korea Switzerland Thailand Turkey Ukraine Vietnam
Copyright © 2009 by Oxford University Press, Inc.
Published by Oxford University Press, Inc.
198 Madison Avenue, New York, New York 10016
Oxford is a registered trademark of Oxford University Press
All rights reserved. No part of this publication may be reproduced,
stored in a retrieval system, or transmitted, in any form or by any means,
electronic, mechanical, photocopying, recording, or otherwise,
without the prior permission of Oxford University Press.
Library of Congress Cataloging-in-Publication Data
Johnston, William, 1960–
A transition to advanced mathematics : a survey course / William Johnston,
Alex M. McAllister.
p. cm.
Includes bibliographical references and index.
ISBN 978-0-19-531076-4
1. Mathematics—Textbooks. I. McAllister, Alex M. II. Title.
2009
510—dc22 2009009644
987654321
Printed in the United States of America
on acid-free paper
For our teachers and our students
Preface
A Transition to Advanced Mathematics: A Survey Course promotes the goals of a
“transition” course in mathematics, helping to lead students from courses in the calculus
sequence to theoretical upper-level mathematics courses. The text simultaneously
promotes the goals of a “survey” course, describing the intriguing questions and
insights fundamental to many diverse areas of math