xiiPreface Supplements A Student Solutions Manual and Study Guide (IsBN-10: 0-538-73351-9: ISBN-13: 978-0- 538-73351-9)is available for purchase with this edition, and contains worked-out solutions to many of the problems. The solved exercises cover all of the techniques discussed in the text, and include step-by-step instructions for working through the algorithms. The first two chapters of this Guide are available for preview on the web site for the book. Complete solutions to all exercises in the text are available to instructors in secure, customizable online format through the Cengage Solution Builder service. Adopting in- structorscansignupforaccessatwww.cengage.com/solutionbuilder.Computationresults in these solutions were regenerated for this edition using the programs on the web site to ensure compatibility among the various programming systems A set of classroom lecture slides, prepared by Professor John Carroll of Dublin City University,areavailableonthebooksinstructorcompanionwebsiteatwww.cengage com/math/burden. These slides, created using the Beamer package of LaTex, are in PDF format. They present examples, hints, and step-by-step animations of important techniques in Numerical Analysis. Possible Course Suggestions Numerical Analysis is designed to give instructors flexibility in the choice of topics as well as in the level of theoretical rigor and in the emphasis on applications. In line with these aims, we provide detailed references for results not demonstrated in the text and for the applications used to indicate the practical importance of the methods. The text references cited are those most likely to be available in college libraries, and they have been updated to reflect recent editions. We also include quotations from original research papers when we feel this material is accessible to our intended audience. All referenced material has been indexed to the appropriate locations in the text, and Library of Congress information for reference material has been included to permit easy location if searching for library material The following flowchart indicates chapter prerequisites. Most of the possible sequences that can be generated from this chart have been taught by the authors at Youngstown State University Chapter 1 Chapter 6 Chapter 3 Chapter 10 Chapter 7 Chapter 8 Chapter 4 Chapter 5 E Chapter 11 Copyright 2010 Cengage Learning. All Rights May no be copied, scanned, or duplicated, in whole or in part Due to maternally aftec the overall leaning expenence. Cengage Learningxii Preface Supplements A Student Solutions Manual and Study Guide (ISBN-10: 0-538-73351-9; ISBN-13: 978-0- 538-73351-9) is available for purchase with this edition, and contains worked-out solutions to many of the problems. The solved exercises cover all of the techniques discussed in the text, and include step-by-step instructions for working through the algorithms. The first two chapters of this Guide are available for preview on the web site for the book. Complete solutions to all exercises in the text are available to instructors in secure, customizable online format through the Cengage Solution Builder service. Adopting in￾structors can sign up for access at www.cengage.com/solutionbuilder. Computation results in these solutions were regenerated for this edition using the programs on the web site to ensure compatibility among the various programming systems. A set of classroom lecture slides, prepared by Professor John Carroll of Dublin City University, are available on the book’s instructor companion web site at www.cengage. com/math/burden. These slides, created using the Beamer package of LaTeX, are in PDF format. They present examples, hints, and step-by-step animations of important techniques in Numerical Analysis. Possible Course Suggestions Numerical Analysis is designed to give instructors flexibility in the choice of topics as well as in the level of theoretical rigor and in the emphasis on applications. In line with these aims, we provide detailed references for results not demonstrated in the text and for the applications used to indicate the practical importance of the methods. The text references cited are those most likely to be available in college libraries, and they have been updated to reflect recent editions. We also include quotations from original research papers when we feel this material is accessible to our intended audience. All referenced material has been indexed to the appropriate locations in the text, and Library of Congress information for reference material has been included to permit easy location if searching for library material. The following flowchart indicates chapter prerequisites. Most of the possible sequences that can be generated from this chart have been taught by the authors at Youngstown State University. Chapter 2 Chapter 6 Chapter 3 Chapter 10 Chapter 7 Chapter 8 Chapter 9 Chapter 11 Chapter 12 Chapter 4 Chapter 5 Chapter 1 Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it