Computer Animated Mathematics Videotapes
Visualization — the representation of ideas, principles or problems by images — has always played an important role in both teaching and learning mathematics. Visual images make a much greater impact than printed or spoken words. People tend to forget wor
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Series Editors Gerald Farin Hans-Christian Hege David Hoffman Christopher R. Johnson Konrad Polthier
Springer-Verlag Berlin Heidelberg GmbH
Jonathan Borwein • Maria H. Morales Konrad Polthier • Jose F. Rodrigues Editors
Multimedia Tools for Communicating Mathematics With 114 Figures, 46 in Color With CD-ROM
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Springer
]onathan Borwein Simon Fraser University, Centre for Experimental and Constructive Mathematics, Burnaby BC, Canada VSA lS6
Maria H. Morales Iose F. Rodrigues University of Lisbon, CMAF, Av. Prof. Gama Pinto,2 1649-003 Lisbon, portugal
Konrad Polthier Technical University Berlin, FB 3 Mathematics MA 8-3, StraBe des 17. Juni 136, 10623 Berlin, Germany
Library of Congress Cataloging-in-Publication Data applied for Die Deutsche Bibliothek - CIP-Einheitsaufnahme Borwein, Jonathan: Multimedia Tools for Communicating Mathematics/Maria H. Morales; Konrad Polthier; Jose F. Rodrigues (Eds.). - Berlin; Heidelberg; New York; Barcelona; Hong Kong; London; Milan; Paris; Tokyo: Springer 2002 (Mathematics and visualization) ISBN 978-3-642-62701-9 ISBN 978-3-642-56240-2 (eBook) DOI 10.1007/978-3-642-56240-2
Mathematics Subject Classification (2000): 68Uxx, 97Uxx ISBN 978-3-642-62701-9 Additional material to this book can be downloaded from http://extras.springer.com. This work consists of a printed book and a CD-ROM packaged with the book, and is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifica11y the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfIlm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. Springer-Verlag or the authors make no warranty for representation, either expressed or implied with respect to this CD-ROM or book, including their quality, merchantibility, or fitness for a particular purpose. In no event will springer or the authors be liable for direct, indirect, special, incidental, or consequential damages arising out of the use or inability to use the CD-ROM or book, even if SpringerVeriag or the authors have been advised of the possibility of such damages.
http://www.springer.de © Springer-Verlag Berlin Heidelberg 2002
Softcover reprint of the hardcover 18t edition 2002 The use of designations, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.
Cover Design: design & production GmbH, Heidelberg Typesetting: Steingrliber, Dossenheim, froin authors' data Binding: Saladruck Printed on acid-free paper SPIN 10848507 46/3142XT 5 4 3 2 1 o
Preface
This book on multimedia tools for communicating mathematics arose f
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