ISE Numerical Methods for Engineers

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.

Table of Contents:
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

About the Author :
Steve Chapra is the Emeritus Professor and Emeritus Berger Chair in the Civil and Environmental Engineering Department at Tufts University. His other books include Surface Water-Quality Modeling, Numerical Methods for Engineers, and Applied Numerical Methods with Python. Dr. Chapra received engineering degrees from Manhattan College and the University of Michigan. Before joining Tufts, he worked for the U.S. Environmental Protection Agency and the National Oceanic and Atmospheric Administration, and taught at Texas A&M University, the University of Colorado, and Imperial College London. His general research interests focus on surface water-quality modeling and advanced computer applications in environmental engineering. He is a Fellow and Life Member of the American Society of Civil Engineering (ASCE) and has received many awards for his scholarly and academic contributions, including the Rudolph Hering Medal (ASCE) for his research, and the Meriam-Wiley Distinguished Author Award (American Society for Engineering Education). He has also been recognized as an outstanding teacher and advisor among the engineering faculties at Texas A&M University, the University of Colorado, and Tufts University. As a strong proponent of continuing education, he has also taught over 90 workshops for professionals on numerical methods, computer programming, and environmental modeling.Beyond his professional interests, he enjoys art, music (especially classical music, jazz, and bluegrass), and reading history. Despite unfounded rumors to the contrary, he never has, and never will, voluntarily bungee jump or sky dive.