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

Chapter 1 Mathematical Modeling and Engineering Problem Solving

Chapter 2 Programing and Software 

Chapter 3 Approximations and Round-Off Errors 

Chapter 4 Truncation Errors and the Taylor Series 

Epilogue: Part One 

Epilogue: Cont. Roots of Equations 

Chapter 5 Bracketing Methods 

Chapter 6 Open Methods 

Chapter 7 Roots of Polynomials 

Chapter 8 Case Studies: Roots of Equations 

Epilogue: Part Two 

Epilogue: Cont. Linear Algebraic Equations 

Chapter 9 Gauss Elimination 

Chapter 10 LU Decomposition and Matrix Inversion 

Chapter 11 Special Matricies and Gauss-Seidel 

Chapter 12 Case Studies: Linear Algebraic Equations 

Epilogue: Part Three 

Epilogue: Cont. Optimization 

Chapter 13 One-Dimensional Unconstrained Optimization

Chapter 14 Multidimensional Unconstrained Optimization

Chapter 15 Constrained Optimization

Chapter 16 Case Studies: Optimization

Epilogue: Part Four

Epilogue: Cont. Curve Fitting

Chapter 17 Least-Squares Regression

Chapter 18 Interpolation

Chapter 19 Fourier Approximation

Chapter 20 Case Studies: Curve Fitting

Epilogue: Part Five

Epilogue: Cont. Numerical Differentiation and Integration

Chapter 21 Newton-Cotes Integration Formulas

Chapter 22 Integration of Equations

Chapter 23 Numerical Differentiation

Chapter 24 Case Studies: Numerical Integration and Differentiation

Epilogue: Part Six

Epilogue: Cont. Ordinary Differential Equations

Chapter 25 Runge-Kutta Methods

Chapter 26 Stiffness and Multistep Methods

Chapter 27 Boundary-Value and Eigenvalue Problems

Chapter 28 Case Studies: Ordinary Differential Equations

Epilogue: Part Seven

Epilogue: Cont. Partial Differential Equations

Chapter 29 Finite Difference: Elliptic Equations

Chapter 30 Finite Difference: Parabolic Equations

Chapter 31 Finite-Element Method

Chapter 32 Case Studies: Partial Eifferential Equations

Epilogue: Part Eight

Appendix A

Appendix B

Appendix C

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.