Metodos numericos en c#

Numerical Methods, Algorithms and Tools in

C#

© 2010 by Taylor and Francis Group, LLC

Numerical Methods, Algorithms and Tools in

C#
Boca Raton London New York

Waldemar Dos Passos

CRC Press is an imprint of the Taylor & Francis Group, an informa business

© 2010 by Taylor and Francis Group, LLC

All the source codes for the material contained in this book can bedownloaded directly from the publisher’s website: http://www.crcpress.com/product/isbn/9780849374791 followed by selecting the option for “Downloads & Updates.”

CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2010 by Taylor and Francis Group, LLC CRC Press is an imprint of Taylor & Francis Group, an Informa business No claim to original U.S.Government works Printed in the United States of America on acid-free paper 10 9 8 7 6 5 4 3 2 1 International Standard Book Number: 978-0-8493-7479-1 (Hardback) This book contains information obtained from authentic and highly regarded sources. Reasonable efforts have been made to publish reliable data and information, but the author and publisher cannot assume responsibility for the validity of allmaterials or the consequences of their use. The authors and publishers have attempted to trace the copyright holders of all material reproduced in this publication and apologize to copyright holders if permission to publish in this form has not been obtained. If any copyright material has not been acknowledged please write and let us know so we may rectify in any future reprint. Except as permittedunder U.S. Copyright Law, no part of this book may be reprinted, reproduced, transmitted, or utilized in any form by any electronic, mechanical, or other means, now known or hereafter invented, including photocopying, microfilming, and recording, or in any information storage or retrieval system, without written permission from the publishers. For permission to photocopy or use materialelectronically from this work, please access www.copyright. com (http://www.copyright.com/) or contact the Copyright Clearance Center, Inc. (CCC), 222 Rosewood Drive, Danvers, MA 01923, 978-750-8400. CCC is a not-for-profit organization that provides licenses and registration for a variety of users. For organizations that have been granted a photocopy license by the CCC, a separate system of payment has beenarranged. Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are used only for identification and explanation without intent to infringe. Library of Congress Cataloging‑in‑Publication Data Dos Passos, Waldemar. Numerical methods, algorithms, and tools in C# / Waldemar Dos Passos. p. cm. Includes bibliographical references and index. ISBN 978-0-8493-7479-1(hardcover : alk. paper) 1. Numerical analysis--Data processing. 2. Algorithms. 3. C# (Computer program language) I. Title. QA297.D684 2010 518.0285’5133--dc22 Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web site at http://www.crcpress.com 2009031461

© 2010 by Taylor and Francis Group, LLC

Preface

Today, more than at any other time in thehistory of mankind, computers are increasingly and successfully being exploited to gain a better understanding of our physical world and as a result, also deepen our appreciation and reverence for God’s Creation. Consequently, as computers evolve, so must the means to control them through advancements not just in hardware but also in software. In order to satisfy this demand for better software,Microsoft released an entirely new programming language called C# that incorporates the best features of all the other existing popular programming languages such as Java, C/C++, and Visual Basic. In spite of considerable resistance by some people who persist on clinging on to the past and continue to program computers the hard way, C# has now firmly established itself worldwide as arguably the...