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Chapra Raymond P. Canale  \nNumerical Methods for Engineers  \nSIXTH EDITION  \nSteven C. Chapra  \nBerger Chair in Computing and Engineering Tufts University  \nRaymond P. Canale  \nProfessor Emeritus of Civil Engineering University of Michigan  \nNUMERICAL METHODS FOR ENGINEERS, SIXTH EDITION  \nPublished by McGraw-Hill, a business unit of The McGraw-Hill Companies, Inc., 1221 Avenue of the Americas, New York, NY 10020 . Copyright © 2010 by The McGraw-Hill Companies, Inc. All rights reserved. Previous editions © 2006, 2002, and 1998. No part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written consent of The McGraw-Hill Companies, Inc., including, but not limited to, in any network or other electronic storage or transmission, or broadcast for distance learning.  \nSome ancillaries, including electronic and print components, may not be available to customers outside the United States.  \nThis book is printed on acid-free paper.  \n1 2 3 4 5 6 7 8 9 0 VNH/VNH 0 9  \nISBN 978–0–07–340106–5 MHID 0–07–340106–4  \nGlobal Publisher: Raghothaman Srinivasan  \nSponsoring Editor: Debra B. Hash  \nDirector of Development: Kristine Tibbetts  \nDevelopmental Editor: Lorraine K. Buczek  \nSenior Marketing Manager: Curt Reynolds  \nProject Manager: Joyce Watters  \nLead Production Supervisor: Sandy Ludovissy  \nAssociate Design Coordinator: Brenda A. Rolwes  \nCover Designer: Studio Montage, St. Louis, Missouri  \n(USE) Cover Image: © BrandX/JupiterImages  \nCompositor: Macmillan Publishing Solutions  \nTypeface: 10/12 Times Roman  \nPrinter: R. R. Donnelley Jefferson City, MO  \nAll credits appearing on page or at the end of the book are considered to be an extension of the copyright page.  \nMATLAB™ is a registered trademark of The MathWorks, Inc.  \nLibrary of Congress Cataloging-in-Publication Data  \nChapra, Steven C.  \nNumerical methods for engineers / Steven C. Chapra, Raymond P. Canale.—6th ed.  \n[p. cm](p. cm).  \nIncludes bibliographical references and index.  \nISBN 978–0–07–340106–5—ISBN 0–07–340106–4 (hard copy : alk. paper)  \n1. Engineering mathematics—Data processing. 2. Numerical calculations—Data processing 3 . Microcomputers—Programming. I. Canale, Raymond P. II. Title.  \nTA345 .C47 2010  \n518.02462—dc22 2008054296  \n[www.mhhe.com](www.mhhe.com)  \n To  \nMargaret and Gabriel Chapra Helen and Chester Canale  \nCONTENTS  \nPREFACE xiv  \nGUIDED TOUR xvi  \nABOUT THE AUTHORS xviii  \nPART ONE   \nMODELING, PT1 . 1 Motivation 3  \nCOMPUTERS, AND PT1 .2 Mathematical Background 5 ERROR ANALYSIS 3 PT1 .3 Orientation 8  \nCHAPTER 1  \nMathematical Modeling and Engineering Problem Solving 11  \n1. 1 A Simple Mathematical Model 11  \n1.2 Conservation Laws and Engineering 18 Problems 21  \nCHAPTER 2  \nProgramming and Software 25  \n2. 1 Packages and Programming 25  \n2.2 Structured Programming 26  \n2.3 Modular Programming 35  \n2.4 Excel 37  \n2.5 MATLAB 41  \n2.6 Mathcad 45  \n2.7 Other Languages and Libraries 46 Problems 47  \nCHAPTER 3  \nApproximations and Round-Off Errors 52  \n3. 1 Significant Figures 53  \n3.2 Accuracy and Precision 55  \n3.3 Error Definitions 56  \n3.4 Round-Off Errors 62 Problems 76  \nCHAPTER 4  \nTruncation Errors and the Taylor Series 78  \n4. 1 The Taylor Series 78  \n4.2 Error Propagation 94  \n4.3 Total Numerical Error 98  \n4.4 Blunders, Formulation Errors, and Data Uncertainty 103 Problems 105  \nEPILOGUE: PART ONE 107  \nPT1 .4 Trade-Offs 107  \nPT1 .5 Important Relationships and Formulas 110  \nPT1 .6 Advanced Methods and Additional References 110  \nPART TWO   \nROOTS OF PT2 . 1 Motivation 113  \nEQUATIONS 113 PT2 .2 Mathematical Background 115  \nPT2.3 Orientation 116  \nCHAPTER 5  \nBracketing Methods 120  \n5. 1 Graphical Methods 120  \n5.2 The Bisection Method 124  \n5.3 The False-Position Method 132  \n5.4 Incremental Searches and Determining Initial Guesses 138 Problems 139  \nCHAPTER 6  \nOpen Methods 142 ","cbCaihlQd5f8ZyZS","https://ap.wps.com/l/cbCaihlQd5f8ZyZS","pdf",21791880,994,"English","# Contents\n## Preface\n## Guided Tour\n## About the Authors\n## Part One: Modeling, Computers, and Error Analysis\n### Chapter 1: Mathematical Modeling and Engineering Problem Solving\n### Chapter 2: Programming and Software\n### Chapter 3: Approximations and Round-Off Errors\n### Chapter 4: Truncation Errors and the Taylor Series\n## Part Two: Roots of Equations\n### Chapter 5: Bracketing Methods\n### Chapter 6: Open Methods\n### Chapter 7: Roots of Polynomials\n### Chapter 8: Case Studies: Roots of Equations\n## Part Three: Linear Algebraic Equations","[{\"question\":\"What topics are covered in Part One of the book?\",\"answer\":\"Part One focuses on modeling and engineering problem solving, programming and software, approximation and round-off errors, and truncation errors using the Taylor series.\"},{\"question\":\"How does the book address solving nonlinear equations?\",\"answer\":\"It presents methods for finding roots of equations, including bracketing methods, open methods such as Newton-Raphson and secant, polynomial root approaches, and case studies.\"},{\"question\":\"What subjects are included in Part Three?\",\"answer\":\"Part Three covers linear algebraic equations, including Gauss elimination, LU decomposition and matrix inversion, special matrices with Gauss-Seidel, and case studies such as steady-state reactor analysis and structural truss problems.\"}]","Numerical Methods for Engineers - Sixth Edition | PDF",1789096135,348]