The eighth edition of Chapra and Canale's Numerical Methods for Engineers retains the instructional techniques that have made the text so successful. The book covers the standard numerical methods employed by both students and practicing engineers. Although relevant theory is covered, the primary emphasis is on how the methods are applied for engineering problem solving. Each part of the book includes a chapter devoted to case studies from the major engineering disciplines. Numerous new or revised end-of chapter problems and case studies are drawn from actual engineering practice. This edition also includes several new topics including a new formulation for cubic splines, Monte Carlo integration, and supplementary material on hyperbolic partial differential equations.
Part 1 - Modeling, Computers, and Error Analysis 1) Mathematical Modeling and Engineering Problem Solving 2) Programming and Software 3) Approximations and Round-Off Errors 4) Truncation Errors and the Taylor Series Part 2 - Roots of Equations 5) Bracketing Methods 6) Open Methods 7) Roots of Polynomials 8) Case Studies: Roots of Equations Part 3 - Linear Algebraic Equations 9) Gauss Elimination 10) LU Decomposition and Matrix Inversion 11) Special Matrices and Gauss-Seidel 12) Case Studies: Linear Algebraic Equations Part 4 - Optimization 13) One-Dimensional Unconstrained Optimization 14) Multidimensional Unconstrained Optimization 15) Constrained Optimization 16) Case Studies: Optimization Part 5 - Curve Fitting 17) Least-Squares Regression 18) Interpolation 19) Fourier Approximation 20) Case Studies: Curve Fitting Part 6 - Numerical Differentiation and Integration 21) Newton-Cotes Integration Formulas 22) Integration of Equations 23) Numerical Differentiation 24) Case Studies: Numerical Integration and Differentiation Part 7 - Ordinary Differential Equations 25) Runge-Kutta Methods 26) Stiffness and Multistep Methods 27) Boundary-Value and Eigenvalue Problems 28) Case Studies: Ordinary Differential Equations Part 8 - Partial Differential Equations 29) Finite Difference: Elliptic Equations 30) Finite Difference: Parabolic Equations 31) Finite-Element Method 32) Case Studies: Partial Differential Equations Appendix A - The Fourier Series Appendix B - Getting Started with Matlab Appendix C - Getting Starte dwith Mathcad Bibliography Index
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