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

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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: 8/1/2001
  • Series: Civil Engineering Series
  • Edition description: Older Edition
  • Edition number: 4
  • Pages: 944
  • Product dimensions: 8.30 (w) x 9.56 (h) x 1.46 (d)

Table of Contents

Preface
About the Authors
Pt. 1 Modeling, Computers, and Error Analysis 3
Ch. 1 Mathematical Modeling and Engineering Problem Solving 11
Ch. 2 Programming and Software 25
Ch. 3 Approximations and Round-Off Errors 50
Ch. 4 Truncation Errors and the Taylor Series 73
Epilogue: Part One 99
Pt. 2 Roots of Equations 105
Ch. 5 Bracketing Methods 112
Ch. 6 Open Methods 133
Ch. 7 Roots of Polynomials 160
Ch. 8 Engineering Applications: Roots of Equations 187
Epilogue: Part Two 212
Pt. 3 Linear Algebraic Equations 217
Ch. 9 Gauss Elimination 231
Ch. 10 LU Decomposition and Matrix Inversion 264
Ch. 11 Special Matrices and Gauss-Seidel 285
Ch. 12 Engineering Applications: Linear Algebraic Equations 305
Epilogue: Part Three 327
Pt. 4 Optimization 331
Ch. 13 One-Dimensional Unconstrained Optimization 341
Ch. 14 Multidimensional Unconstrained Optimization 355
Ch. 15 Constrained Optimization 375
Ch. 16 Engineering Applications: Optimization 400
Epilogue: Part Four 422
Pt. 5 Curve Fitting 425
Ch. 17 Least-Squares Regression 440
Ch. 18 Interpolation 474
Ch. 19 Fourier Approximation 507
Ch. 20 Engineering Applications: Curve Fitting 544
Epilogue: Part Five 563
Pt. 6 Numerical Differentiation and Integration 569
Ch. 21 Newton-Cotes Integration Formulas 584
Ch. 22 Integration of Equations 613
Ch. 23 Numerical Differentiation 632
Ch. 24 Engineering Applications: Numerical Integration and Differentiation 646
Epilogue: Part Six 667
Pt. 7 Ordinary Differential Equations 671
Ch. 25 Runge-Kutta Methods 681
Ch. 26 Stiffness and Multistep Methods 726
Ch. 27 Boundary-Value and Eigenvalue Problems 752
Ch. 28 Engineering Applications: Ordinary Differential Equations 781
Epilogue: Part Seven 808
Pt. 8 Partial Differential Equations 813
Ch. 29 Finite Difference: Elliptic Equations 820
Ch. 30 Finite Difference: Parabolic Equations 840
Ch. 31 Finite-Element Method 857
Ch. 32 Engineering Applications: Partial Differential Equations 884
Epilogue: Part Eight 899
App. A The Fourier Series 901
App. B Getting Started with MATLAB 903
Bibliography 911
Index 915
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