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EBook Content

Chapter 1. Introduction: Numerical methods, Programming languages used in numerical methods, The goal of the book, Why MATLAB programming language, What this book focuses at, What is needed to read this book, Source code files

Chapter 2. Roots of High-Degree Equations: Simple Iterations Method, Convergence and Divergence, Newton-Raphson Method, Bisection Method

Chapter 3. Interpolation and Curve Fitting Methods: Linear Interpolation, Lagrange’s Method, Newton’s Method, Curve Fitting Fitting with a Straight Line (Linear Regression), Fitting with a Polynomial Curve

Chapter 4. Numerical Differentiation: Finite Differences Approximation

Chapter 5. Numerical Integration: Trapezoidal Rule, Simpson’s Rules: Simpson’s 1/3 Rule, Simpson’s 3/8 Rule, Double Integration

Chapter 6. Systems of Linear Equations: Gauss Elimination Method, Jacobi’s Method, Gauss-Seidel Method, The Diagonal Dominance

Chapter 7. Ordinary Differential Equations (ODE): Euler’s Method, The Second Order Runge-Kutta Method, The Fourth Order Runge-Kutta Method, Higher-Order Ordinary Differential Equations