xvi PREFACE Finally I want to thank my family and in particular my wife Cynthia for the love patience and support they have provided through the time Ive spent on this project Steven C Chapra Tufts University Medford Massachusetts steven chapra tufts edu PEDAGOGICAL TOOLS Theory Presented as It Informs Key Concepts The text is intended for Numerical Methods users not developers Therefore theory is not included for theorys sake for example no proofs Theory is included as it informs key concepts such as the Taylor series convergence condition etc Hence the student is shown how the theory connects with practical issues in problem solving Introductory MATLAB Material The text includes two introductory chapters on how to use MATLAB Chapter 2 shows students how to perform computations and create graphs in MATLABs standard command mode Chapter 3 provides a primer on developing numerical programs via MATLAB M file functions Thus the text provides students with the means to develop their own numerical algorithms as well as to tap into MATLABs powerful built in routines Algorithms Presented Using MATLAB M files Instead of using pseudocode this book presents algorithms as well structured MATLAB M files Aside from being useful computer programs these provide students with models for their own M files that they will develop as homework exercises Worked Examples and Case Studies Extensive worked examples are laid out in detail so that students can clearly follow the steps in each numerical computation The case studies consist of engineering and science applications which are more complex and richer than the worked examples They are placed at the ends of selected chapters with the intention of 1 illustrating the nuances of the methods and 2 showing more realistically how the methods along with MATLAB are applied for problem solving Problem Sets The text includes a wide variety of problems Many are drawn from engineering and scientific disciplines Others are used to illustrate numerical techniques and theoretical concepts Problems include those that can be solved with a pocket calculator as well as others that require computer solution with MATLAB Useful Appendices and Indexes Appendix A contains MATLAB commands Appendix B contains M file functions and new Appendix C contains a brief Simulink primer Instructor Resources Solutions Manual Lecture PowerPoints Text images in PowerPoint M files and additional MATLAB resources are available through Connect xvi PREFACE Finally I want to thank my family and in particular my wife Cynthia for the love patience and support they have provided through the time Ive spent on this project Steven C Chapra Tufts University Medford Massachusetts steven chapra tufts edu PEDAGOGICAL TOOLS Theory Presented as It Informs Key ...Concepts The text is intended for Numerical Methods users not developers Therefore theory is not included for theorys sake for example no proofs Theory is included as it informs key concepts such as the Taylor series convergence condition etc Hence the student is shown how the theory connects with practical issues in problem solving Introductory MATLAB Material The text includes two introductory chapters on how to use MATLAB Chapter 2 shows students how to perform computations and create graphs in MATLABs standard command mode Chapter 3 provides a primer on developing numerical programs via MATLAB M file functions Thus the text provides students with the means to develop their own numerical algorithms as well as to tap into MATLABs powerful built in routines Algorithms Presented Using MATLAB M files Instead of using pseudocode this book presents algorithms as well structured MATLAB M files Aside from being useful computer programs these provide students with models for their own M files that they will develop as homework exercises Worked Examples and Case Studies Extensive worked examples are laid out in detail so that students can clearly follow the steps in each numerical computation The case studies consist of engineering and science applications which are more complex and richer than the worked examples They are placed at the ends of selected chapters with the intention of 1 illustrating the nuances of the methods and 2 showing more realistically how the methods along with MATLAB are applied for problem solving Problem Sets The text includes a wide variety of problems Many are drawn from engineering and scientific disciplines Others are used to illustrate numerical techniques and theoretical concepts Problems include those that can be solved with a pocket calculator as well as others that require computer solution with MATLAB Useful Appendices and Indexes Appendix A contains MATLAB commands Appendix B contains M file functions and new Appendix C contains a brief Simulink primer Instructor Resources Solutions Manual Lecture PowerPoints Text images in PowerPoint M files and additional MATLAB resources are available through Connect