E-Book Overview
Introductory Analysis addresses the needs of students taking a course in analysis after completing a semester or two of calculus, and offers an alternative to texts that assume that math majors are their only audience. By using a conversational style that does not compromise mathematical precision, the author explains the material in terms that help the reader gain a firmer grasp of calculus concepts. * Written in an engaging, conversational tone and readable style while softening the rigor and theory * Takes a realistic approach to the necessary and accessible level of abstraction for the secondary education students * A thorough concentration of basic topics of calculus * Features a student-friendly introduction to delta-epsilon arguments * Includes a limited use of abstract generalizations for easy use * Covers natural logarithms and exponential functions * Provides the computational techniques often encountered in basic calculus
E-Book Content
INTRODUCTORY ANALYSIS ThisPageIntentionallyLeftBlank INTRODUCTORY ANALYSIS A Deeper View of Calculus Richard J. Bagby Department of Mathematical Sciences New Mexico State University Las Cruces, New Mexico San Diego San Francisco New York Boston London Toronto Sydney Tokyo Sponsoring Editor Production Editor Editorial Coordinator Marketing Manager Cover Design Copyeditor Composition Printer Barbara Holland Julie Bolduc Karen Frost Marianne Rutter Richard Hannus, Hannus Design Associates Amy Mayfield TeXnology, Inc./MacroTEX Maple-Vail Book Manufacturing Group This book is printed on acid-free paper. ∞ c 2001 by Academic Press Copyright All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permissi