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Charles F. Van Loan - Introduction to computational science and mathematics

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    Introduction to computational science and mathematics
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Mathematics for Computer Scientists

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title Introduction to Computational Science and Mathematics Jones and - photo 1

title:Introduction to Computational Science and Mathematics Jones and Bartlett Series in Computational Science and Applied Mathematics
author:Van Loan, Charles F.
publisher:Jones & Bartlett Publishers, Inc.
isbn10 | asin:0867204737
print isbn13:9780867204735
ebook isbn13:9780585342252
language:English
subjectComputer science--Mathematics, Computer programming.
publication date:1996
lcc:QA76.9.M35V37 1996eb
ddc:004/.01/51
subject:Computer science--Mathematics, Computer programming.
Page i
Introduction to Computational Science and Mathematics
Page ii
The Jones and Bartlett Series in Computational Science and Applied Mathematics
Richard A. Tapia, Consulting Editor
Introduction to Computational Science and Mathematics
Charles F. Van Loan
Page iii
Introduction to Computational Science and Mathematics
Charles F. Van Loan
Department of Computer Science
Cornell University
Page iv Dedicated to my parents Ted and Elizabeth Van Loan Editorial - photo 2
Page iv
Dedicated to my parents
Ted and Elizabeth Van Loan
Editorial, Sales, and Customer Service Offices
Jones and Bartlett Publishers
40 Tall Pine Drive
Sudbury, MA 01776
508-443-5000
800-832-0034
Jones and Bartlett Publishers International
Barb House, Barb Mews
London W6 7PA
England
Copyright 1996 by Jones and Bartlett Publishers, Inc.
All rights reserved. No part of the material protected by this copyright notice may be reproduced or utilized in any form, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system, without written permission from the copyright owner.
Library of Congress Cataloging-in-Publication Data
Van Loan, Charles F.
An Introduction to computational science and mathematics / Charles
Van Loan.
p. cm.
Includes bibliographical references and index.
ISBN 0-86720-473-7
1. Computer scienceMathematics. 2. Electronic digital
computersProgramming. I. Title.
QA76.9.M35V37 1996
004'.01'51--dc20 95-40892
CIP
Printed in the United States of America
00 99 98 97 96 10 9 8 7 6 5 4 3 2 1
Page v
Contents
Acknowledgments
ix
Mathematical Facts
xi
Preface
xvii
1
From Formula to Program
1
Picture 3
1.1 A Small Example
2
Picture 4
1.2 Sines and Cosines
10
Picture 5
1.3 Max's and Min's
15
Picture 6
1.4 Formulas That Involve Integers
19
2
Numerical Exploration
25
Picture 7
2.1 Discovering Limits
26
Picture 8
2.2 Confirming Conjectures
35
Picture 9
2.3 The Floating Point Terrain
39
Picture 10
2.4 Interactive Frameworks
45
3
Elementary Graphics
49
Picture 11
3.1 Grids
49
Picture 12
3.2 Rectangles and Ovals
59
Picture 13
3.3 Granularity
67
4
Sequences
75
Picture 14
4.1 Summation
76
Picture 15
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