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Applied Numerical Methods with MATLAB for Engineers and Scientists, 2/e
Steven C. Chapra, Tufts University

Student Edition

Contents:

Chapter 1: Mathematical Modeling, Numerical Methods, and Problem Solving
Chapter 2: MATLAB Fundamentals
Chapter 3: Programming with MATLAB
Chapter 4: Roundoff and Truncation Errors
Chapter 5: Roots: Bracketing Methods
Chapter 6: Roots: Open Methods
Chapter 7: Optimization
Chapter 8: Linear Algebraic Equations and Matrices
Chapter 9: Gauss Elimination
Chapter 10: LU Factorization
Chapter 11: Matrix Inverse and Condition
Chapter 12: Iterative Methods
Chapter 13: Linear Regression
Chapter 14: General Linear Least-Squares and Nonlinear Regression
Chapter 15: Polynomial Interpolations
Chapter 16: Splines and Piecewise Interpolation
Chapter 17: Numerical Integration Formulas
Chapter 18: Numerical Integration of Functions
Chapter 19: Numerical Differentiation
Chapter 20: Initial-Value Problems
Chapter 21: Adaptive Methods and Stiff Systems
Chapter 22: Boundary-Value Problems