Facts on File Calculus Handbook.pdf

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THE FACTS ON FILE
CALCULUS
HANDBOOK
ELI MAOR, Ph.D.
Adjunct Professor of Mathematics,
Loyola University, Chicago, Illinois
I dedicate this book to the countless students who,
over the past 300 years,
had to struggle with the intricacies of the differential
and integral calculus—and prevailed.
You have my heartiest congratulations!
The Facts On File Calculus Handbook
Copyright © 2003 by Eli Maor, Ph.D.
All rights reserved. No part of this book may be reproduced or utilized in any
form or by any means, electronic or mechanical, including photocopying,
recording, or by any information storage or retrieval systems, without
permission in writing from the publisher. For information contact:
Facts On File
132 West 31st Street
New York NY 10001
Library of Congress Cataloging-in-Publication Data
Maor, Eli.
The Facts On File calculus handbook / Eli Maor.
p. cm.
Includes bibliographical references and index.
ISBN 0-8160-4581-X (acid-free paper)
1. Calculus—Handbooks, manuals, etc. I. Title.
QA303.2.M36 2003
515—dc21
2003049027
Facts On File books are available at special discounts when purchased in bulk
quantities for businesses, associations, institutions, or sales promotions.
Please call our Special Sales Department in New York at 212/967-8800 or
800/322-8755.
You can find Facts On File on the World Wide Web at
http://www.factsonfile.com
Cover design by Cathy Rincon
Illustrations by Anja Tchepets and Kerstin Porges
Printed in the United States of America
MP Hermitage 10 9 8
7 6 5 4
3 2
1
This book is printed on acid-free paper.
CONTENTS
Preface
The Calculus: A Historical Introduction
SECTION ONE
Glossary
SECTION TWO
Biographies
SECTION THREE
Chronology
SECTION FOUR
Charts & Tables
A. Trigonometric Identities
B. Differentiation Formulas
C. Integration Formulas
D. Convergence Tests for Series
Appendix:
Recommended Reading
& Useful Websites
Index
v
vii
1
107
141
151
153
156
156
158
159
161

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