CONTENTS
Part One Modeling, Computers, and Error Analysis
Chapter 1 Mathematical Modeling, Numerical Methods, and Problem Solving
Chapter 2 MATLAB Fundamentals
Chapter 3 Programming with MATLAB
Chapter 4 Roundoff and Truncation Errors
Part Two Roots and Optimization
Chapter 5 Roots: Bracketing Methods
Chapter 6 Roots: Open Methods
Chapter 7 Optimization
Part Three Linear Systems
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 Eigenvalues
Part Four Curve Fitting
Chapter 14 Linear Regression
Chapter 15 General Linear Least-Squares and Nonlinear Regression
Chapter 16 Fourier Analysis
Chapter 17 Polynomial Interpolation
Chapter 18 Splines and Piecewise Interpolation
Part Five Integration and Differentiation
Chapter 19 Numerical Integration Formulas
Chapter 20 Numerical Integration of Functions
Chapter 21 Numerical Differentiation
Part Six Ordinary Differential Equations
Chapter 22 Initial-Value Problems
Chapter 23 Adaptive Methods and Stiff Systems
Chapter 24 Boundary-Value Problems
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