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The text introduces the historical development of scientific computation from ancient civilizations to modern mathematics and computing devices. It highlights the divergence between numerical computation and computer algebra, then motivates their integration through complementary strengths such as symbolic analysis of integrability and numerical approximation. It also describes the Austrian special research program established in 1998 and the conference and research community it connects.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":40,"@type":76,"position":81},"https://docshare.wps.com/document/research-report/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/symbolic-and-numerical-scientific-computation-proceedings/326428/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/symbolic-and-numerical-scientific-computation-proceedings/326428.png","ImageObject",300,407,{"name":92,"@type":93},"Finn","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-24","2026-09-21",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"Why does the preface emphasize integrating symbolic and numerical computation?","Question",{"text":113,"@type":114},"Because numerical methods may benefit from symbolic information like integrability conditions and symmetries, while symbolic methods require exact inputs and must be extended to handle neighborhoods of data. The goal is a balanced integration of both techniques.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How does the preface describe the historical development of scientific computation?",{"text":118,"@type":114},"It traces computation from early astronomical tables, Egyptian geometry, Mayan calendars, and ancient number theory, then notes how mathematical theories grew from the applicability of pure thought. It also mentions the rise of calculus and the advent of modern computing devices.",{"name":120,"@type":111,"acceptedAnswer":121},"What role did the 1998 Austrian research program play in the conference community?",{"text":122,"@type":114},"It established a special research program on numerical and symbolic scientific computing at Johannes Kepler University Linz, bringing together research groups to bridge the two approaches. 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Goos, J. Hartmanis, and J. van Leeuwen  \n3  \nBerlin Heidelberg New York HongKong London Milan Paris Tokyo  \nFranz Winkler Ulrich Langer (Eds.)  \nSymbolic and Numerical Scientific Computation  \nSecond International Conference, SNSC 2001 Hagenberg, Austria, September 12-14, 2001 Revised Papers  \n1 3  \nSeries Editors  \nGerhard Goos, Karlsruhe University, Germany  \nJuris Hartmanis, Cornell University, NY, USA Jan van Leeuwen, Utrecht University, The Netherlands  \nVolume Editors  \nFranz Winkler  \nJohannes Kepler University Linz RISC-Linz  \nAltenberger Str. 69, 4040 Linz, Austria [E-mail: Franz.Winkler@risc.uni-linz.ac.at](E-mail: Franz.Winkler@risc.uni-linz.ac.at)  \nUlrich Langer  \nJohannes Kepler University Linz Institute of Computational Mathematics Altenberger Str. 69, 4040 Linz, Austria [E-mail: ulanger@numa.uni-linz.ac.at](E-mail: ulanger@numa.uni-linz.ac.at)  \n[Cataloging-in-Publication Data applied for](Cataloging-in-Publication Data applied for)  \nA catalog record for this book is available from the Library of Congress.  \nBibliographic information published by Die Deutsche Bibliothek  \nDie Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at \u003C[http://dnb.ddb.de](http://dnb.ddb.de)>.  \nCR Subject Classification (1998): G.1, I.1, J.2, F.2, G.2, I.3.5  \nISSN 0302-9743  \nISBN 3-540-40554-2 Springer-Verlag Berlin Heidelberg New York  \nThis work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms 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 areliable for prosecution under the German Copyright Law.  \nSpringer-Verlag Berlin Heidelberg New York  \na member of BertelsmannSpringer Science+Business Media GmbH [http://www.springer.de](http://www.springer.de)  \n© Springer-Verlag Berlin Heidelberg 2003 Printed in Germany  \nTypesetting: Camera-ready by author, data conversion by Steingräber Satztechnik GmbH, Heidelberg  \nPrinted on acid-free paper SPIN: 10873065 06/3142 5 4 3 2 1 0  \nPreface  \nScientific computation has a long history, dating back to the astronomical tables of the Babylonians, the geometrical achievements of the Egyptians, the calendars of the Mayans, and the number theory of the ancient Chinese. The success of these activities led in many parts of the world to the development of mathematical theories trying to explain the surprising applicability of pure thought to physical phenomena. Probably the most important such development took place in ancient Greece, where mathematics, as we know it today, was created.  \nJust as practical advances in scientific computation have stimulated the development of theory, so also new theoretical breakthroughs have led to whole new ways of mathematizing science. A prominent example is the development of calculus by Newton and Leibnitz and its application in all areas of science. Mathematical theory, however, became more and more abstract and removed from possible applications.  \nThe twentieth century witnessed the advent of computing devices in the modern sense. Right from the beginning these machines were used for facilitating scientific computations. The early achievements of space exploration in the 1950s and 1960s would have been impossible without computers and scientific computation.  \nDespite this success, it also became clear that different branches of scientific computation were taking shape and developing apart from each other. Numerical computation saw itself mainly as a computational offspring of calculus, with approximations, conv","cbCaimkOYcIm10S4","https://ap.wps.com/l/cbCaimkOYcIm10S4","pdf",4648011,398,"English","# Preface","[{\"question\":\"Why does the preface emphasize integrating symbolic and numerical computation?\",\"answer\":\"Because numerical methods may benefit from symbolic information like integrability conditions and symmetries, while symbolic methods require exact inputs and must be extended to handle neighborhoods of data. The goal is a balanced integration of both techniques.\"},{\"question\":\"How does the preface describe the historical development of scientific computation?\",\"answer\":\"It traces computation from early astronomical tables, Egyptian geometry, Mayan calendars, and ancient number theory, then notes how mathematical theories grew from the applicability of pure thought. It also mentions the rise of calculus and the advent of modern computing devices.\"},{\"question\":\"What role did the 1998 Austrian research program play in the conference community?\",\"answer\":\"It established a special research program on numerical and symbolic scientific computing at Johannes Kepler University Linz, bringing together research groups to bridge the two approaches. The preface frames it as both a local and international forum, supported by conferences and workshops.\"}]","Symbolic and Numerical Scientific Computation - Proceedings | PDF",1789974135,1003]