Numerical Methods for Engineers: With Software and Programming Applications / Edition 4

Numerical Methods for Engineers: With Software and Programming Applications / Edition 4

by Steven C. Chapra, Raymond Canale, Raymond P. Canale, Raymond Canale
     
 

The Fourth Edition of Numerical Methods for Engineers continues the tradition of excellence it established as the winner of the ASEE Meriam/Wiley award for BestTextbook. Instructors love it because it is a comprehensive text that is easy to teach from. Students love it because it is written for them—with great pedagogy and clear explanations and examples… See more details below

Overview

The Fourth Edition of Numerical Methods for Engineers continues the tradition of excellence it established as the winner of the ASEE Meriam/Wiley award for BestTextbook. Instructors love it because it is a comprehensive text that is easy to teach from. Students love it because it is written for them—with great pedagogy and clear explanations and examples throughout. This edition features an even broader array of applications, including all engineering disciplines. The revision retains the successful pedagogy of the prior editions. Chapra and Canale's unique approach opens each part of the text with sections called Motivation, Mathematical Background, and Orientation, preparing the student for what is to come in a motivating and engaging manner. Each part closes with an Epilogue containing sections called Trade-Offs, Important Relationships and Formulas, and Advanced Methods and Additional References. Much more than a summary, the Epilogue deepens understanding of what has been learned and provides a peek into more advanced methods. What's new in this edition? A shift in orientation toward more use of software packages, specifically MATLAB and Excel with VBA. This includes material on developing MATLAB m-files and VBA macros. In addition, the text has been updated to reflect improvements in MATLAB and Excel since the last edition. Also, many more, and more challenging problems are included. The expanded breadth of engineering disciplines covered is especially evident in the problems, which now cover such areas as biotechnology and biomedical engineering.

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Product Details

ISBN-13:
9780072431933
Publisher:
McGraw-Hill Companies, The
Publication date:
08/01/2001
Series:
Civil Engineering Series
Edition description:
Older Edition
Pages:
944
Product dimensions:
8.30(w) x 9.56(h) x 1.46(d)

Meet the Author

Table of Contents

Preface
About the Authors
Pt. 1Modeling, Computers, and Error Analysis3
Ch. 1Mathematical Modeling and Engineering Problem Solving11
Ch. 2Programming and Software25
Ch. 3Approximations and Round-Off Errors50
Ch. 4Truncation Errors and the Taylor Series73
Epilogue: Part One99
Pt. 2Roots of Equations105
Ch. 5Bracketing Methods112
Ch. 6Open Methods133
Ch. 7Roots of Polynomials160
Ch. 8Engineering Applications: Roots of Equations187
Epilogue: Part Two212
Pt. 3Linear Algebraic Equations217
Ch. 9Gauss Elimination231
Ch. 10LU Decomposition and Matrix Inversion264
Ch. 11Special Matrices and Gauss-Seidel285
Ch. 12Engineering Applications: Linear Algebraic Equations305
Epilogue: Part Three327
Pt. 4Optimization331
Ch. 13One-Dimensional Unconstrained Optimization341
Ch. 14Multidimensional Unconstrained Optimization355
Ch. 15Constrained Optimization375
Ch. 16Engineering Applications: Optimization400
Epilogue: Part Four422
Pt. 5Curve Fitting425
Ch. 17Least-Squares Regression440
Ch. 18Interpolation474
Ch. 19Fourier Approximation507
Ch. 20Engineering Applications: Curve Fitting544
Epilogue: Part Five563
Pt. 6Numerical Differentiation and Integration569
Ch. 21Newton-Cotes Integration Formulas584
Ch. 22Integration of Equations613
Ch. 23Numerical Differentiation632
Ch. 24Engineering Applications: Numerical Integration and Differentiation646
Epilogue: Part Six667
Pt. 7Ordinary Differential Equations671
Ch. 25Runge-Kutta Methods681
Ch. 26Stiffness and Multistep Methods726
Ch. 27Boundary-Value and Eigenvalue Problems752
Ch. 28Engineering Applications: Ordinary Differential Equations781
Epilogue: Part Seven808
Pt. 8Partial Differential Equations813
Ch. 29Finite Difference: Elliptic Equations820
Ch. 30Finite Difference: Parabolic Equations840
Ch. 31Finite-Element Method857
Ch. 32Engineering Applications: Partial Differential Equations884
Epilogue: Part Eight899
App. AThe Fourier Series901
App. BGetting Started with MATLAB903
Bibliography911
Index915

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