Applied Numerical Methods with MATLAB for Engineers and Scientists

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. 

Part One - Modeling, Computers, and Error Analysis

1) Mathematical Modeling, Numerical Methods, and Problem Solving

2) MATLAB Fundamentals

3) Programming with MATLAB

4) Roundoff and Truncation Errors

Part Two - Roots and Optimization

5) Roots: Bracketing Methods

6) Roots: Open Methods

7) Optimization

Part Three - Linear Systems

8) Linear Algebraic Equations and Matrices

9) Gauss Elimination

10) LU Factorization

11) Matrix Inverse and Condition

12) Iterative Methods

13) Eigenvalues

Part Four - Curve Fitting

14) Linear Regression

15) General Linear Least-Squares and Nonlinear Regression

16) Fourier Analysis

17) Polynomial Interpolation

18) Splines and Piecewise Interpolation

Part Five - Integration and Differentiation

19) Numerical Integration Formulas

20) Numerical Integration of Functions

21) Numerical Differentiation

Part Six - Ordinary Differential Equations

22) Initial-Value Problems

23) Adaptive Methods and Stiff Systems

24) Boundary-Value Problems

Appendix A - MATLAB Built-In Functions

Appendix B - MATLAB M-File Functions

Index