Numerical Methods for Engineers / Edition 6

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Overview

Instructors love Numerical Methods for Engineers because it makes teaching easy! Students love it because it is written for them—with clear explanations and examples throughout. The text features a broad array of applications that span all engineering disciplines.

The sixth edition retains the successful instructional techniques of earlier editions. Chapra and Canale's unique approach opens each part of the text with sections called Motivation, Mathematical Background, and Orientation. This prepares the student for upcoming problems in a motivating and engaging manner. Each part closes with an Epilogue containing 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. Helpful separate Appendices. "Getting Started with MATLAB" abd "Getting Started with Mathcad" which make excellent references.

Numerous new or revised problems drawn from actual engineering practice, many of which are based on exciting new areas such as bioengineering. The expanded breadth of engineering disciplines covered is especially evident in the problems, which now cover such areas as biotechnology and biomedical engineering. Excellent new examples and case studies span asll areas of engineering disciplines; the students using this text will be able to apply their new skills to their chosen field.

Users will find use of software packages, specifically MATLAB®, Excel® with VBA and Mathcad®. This includes material on developing MATLAB® m-files and VBA macros.

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Product Details

  • ISBN-13: 9780073401065
  • Publisher: McGraw-Hill Higher Education
  • Publication date: 4/20/2009
  • Edition description: Older Edition
  • Edition number: 6
  • Pages: 960
  • Sales rank: 325,112
  • Product dimensions: 8.60 (w) x 9.20 (h) x 1.70 (d)

Meet the Author

Steven C. Chapra (Medford, MA) is Professor of Civil and Environmental Engineering, Tufts University.

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Table of Contents

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
Ch. 5 Bracketing methods 112
Ch. 6 Open methods 133
Ch. 7 Roots of polynomials 160
Ch. 8 Case studies : roots of equations 187
Ch. 9 Gauss elimination 231
Ch. 10 LU decomposition and matrix inversion 264
Ch. 11 Special matrices and Gauss-Seidel 285
Ch. 12 Case studies : linear algebraic equations 305
Ch. 13 One-dimensional unconstrained optimization 341
Ch. 14 Multidimensional unconstrained optimization 355
Ch. 15 Constrained optimization 375
Ch. 16 Case studies : optimization 400
Ch. 17 Least-squares regression 440
Ch. 18 Interpolation 474
Ch. 19 Fourier approximation 507
Ch. 20 Case studies : curve fitting 544
Ch. 21 Newton-Cotes integration formulas 584
Ch. 22 Integration of equations 613
Ch. 23 Numerical differentiation 632
Ch. 24 Case studies : numerical integration and differentiation 646
Ch. 25 Runge-Kutta methods 681
Ch. 26 Stiffness and multistep methods 726
Ch. 27 Boundary-value and eigenvalue problems 752
Ch. 28 Case studies : ordinary differential equations 781
Ch. 29 Finite difference : elliptic equations 820
Ch. 30 Finite difference : parabolic equations 840
Ch. 31 Finite-element method 857
Ch. 32 Case studies : partial differential equations 884
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