Scientific Computing A Historical Perspective
This book explores the most significant computational methods and the history of their development. It begins with the earliest mathematical / numerical achievements made by the Babylonians and the Greeks, followed by the period beginning in the
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Bertil Gustafsson
Scientific Computing A Historical Perspective Editorial Board T. J.Barth M.Griebel D.E.Keyes R.M.Nieminen D.Roose T.Schlick
Texts in Computational Science and Engineering Editors Timothy J. Barth Michael Griebel David E. Keyes Risto M. Nieminen Dirk Roose Tamar Schlick
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More information about this series at http://www.springer.com/series/5151
Bertil Gustafsson
Scientific Computing A Historical Perspective
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Bertil Gustafsson Department of Information Technology Uppsala University Uppsala, Sweden
ISSN 1611-0994 ISSN 2197-179X (electronic) Texts in Computational Science and Engineering ISBN 978-3-319-69846-5 ISBN 978-3-319-69847-2 (eBook) https://doi.org/10.1007/978-3-319-69847-2 Library of Congress Control Number: 2018953059 Mathematics Subject Classification (2010): 65-XX, 68-XX, 01-XX © Springer International Publishing AG, part of Springer Nature 2018 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Cover illustration: Figure 2.1 showing the Babylonian clay tablet. (The clay tablet YBC7289. From the Yale Babylonian Collection, with the assistance and permission of William Hallo, Curator, and Ulla Kasten, Associate Curator. Photo by Bill Casselman, http://www.math.ubc.ca/_cass/Euclid/ybc/ybc. html.) This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
Science and technology are traditionally based on theory and experiments, but nowadays scientific computing is an established third branch of strategic importance. It is based on mathematical models, some of which were developed many centuries ago. Most of these models are in the form of different kinds of equations that must be solved, and in the ideal case, one can find the solutions by analytic means in the form of an explicit mathematical form, as fo
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