E-Book Overview
This is a fully revised second edition of the bestselling Introduction to Maple, compatible through Maple V Release 4. The book is an introduction to the modern computer algebra system Maple. It intends to teach the reader not only what can be done by Maple, but also how it can be done. Emphasis is on understanding the Maple system more than on factual knowledge of built-in possibilities. To this end, the book contains both elementary and more sophisticated examples and many exercises. Many new examples have been added to show how to use Maple as a problem solver, how to assist the system during computations, and how to extend its built-in facilities. Introduction to Maple is not only a readable manual, explaining how to use Maple as a symbolic calculator, but also provides the necessary background to those who want to extend the built-in knowledge of Maple by implementing new algorithms. The typical reader should have a background in mathematics that is above the beginner level.
E-Book Content
Introduction to Maple Second Edition
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Andre Heck
Introduction to Maple Second Edition
With 190 Illustrations
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Springer
Andre Heck University of Amsterdam CAN Expertise Center Nieuwe Achtergracht 170 1018 WV Amsterdam The Netherlands
Maple is a registered trademark of Waterloo Maple Inc. Library of Congress Cataloging-in-Publication Data Heck, A. (Andre) Introduction to Maple / Andre Heck.-2nd ed. p. cm. Includes bibliographical references and index. ISBN-13: 978-1-4684-0486-9 e-ISBN-13: 978-1-4684-0484-5 DOl: 10.1007/978-1-4684-0484-5
1. Maple (Computer file) QAI55.7.E4H43 1996 510' .285' 53-dc20
2. Algebra-Data Processing.
I. Title.
96-5914
Printed on acid-free paper.
© 1996, 1993 Springer-Verlag New York, Inc. Softcover reprint of the hardcover 2nd edition 1996 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer-Verlag New York, Inc., 175 Fifth Avenue, New York, NY 10010, USA) except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use of general descriptive names, trade names, trademarks, etc., in this publication, even if the former are not especially identified, is not to be taken as a sign that such names, as understood by the Trade Marks and Merchandise Marks Act, may accordingly be used freely by anyone. Production managed by Bill Imbornonij manufacturing supervised by Jacqui Ashri. Camera-ready copy prepared from the author's 'lEX files. 987654321 ISBN-13: 978-1-4684-0486-9
Preface to the Second Edition
The first edition of this book has been very well received by the community. The new version 4 of Maple V contains so many new mathematical features and improvements in the user interface that Waterloo Maple Inc. markets it as "the Power Edition." These two facts have made it necessary to write a second edition within a short period of the first. I corrected typographical errors, rephrased text, updated and improved many examples, and added much new material. Hardly any chapter has been left untouched. Substantially changed or added sections and chapters address the assume facility, I/O, approximation theory, integration, composite data types, simplification, graphics, differential equations, and matrix algebra. Tables summarize features, command options, etc., and constitute a quick reference. The enlarged index of the book has been carefully compiled to make locating searc