İncludes index.

Machine generated contents note: 1. Introduction to MATLAB -- 1.1. Quick Overview -- 1.2. Data Types and Variables -- 1.3. Operators -- 1.4. Flow Control -- 1.5. Functions -- 1.6. Input/Output -- 1.7. Array Manipulation -- 1.8. Writing and Running Programs -- 1.9. Plotting -- 2. Systems of Linear Algebraic Equations -- 2.1. Introduction -- 2.2. Gauss Elimination Method -- 2.3. LU Decomposition Methods -- Problem Set 2.1 -- 2.4. Symmetric and Banded Coefficient Matrices -- 2.5. Pivoting -- Problem Set 2.2 -- 2.6. Matrix Inversion -- 2.7. Iterative Methods -- Problem Set 2.3 -- 3. Interpolation and Curve Fitting -- 3.1. Introduction -- 3.2. Polynomial Interpolation -- 3.3. Interpolation with Cubic Spline -- Problem Set 3.1 -- 3.4. Least Squares Fit -- Problem Set 3.2 -- 4. Roots of Equations -- 4.1. Introduction -- 4.2. Incremental Search Method -- 4.3. Method of Bisection -- 4.4. Methods Based on Linear Interpolation -- 4.5. Newton-Raphson Method -- 4.6. Systems of Equations -- Problem Set 4.1 -- 4.7. Zeroes of Polynomials -- Problem Set 4.2 -- 5. Numerical Differentiation -- 5.1. Introduction -- 5.2. Finite Difference Approximations -- 5.3. Richardson Extrapolation -- 5.4. Derivatives by Interpolation -- Problem Set 5.1 -- 6. Numerical Integration -- 6.1. Introduction -- 6.2. Newton-Cotes Formulas -- 6.3. Romberg Integration -- Problem Set 6.1 -- 6.4. Gaussian Integration -- Problem Set 6.2 -- 6.5. Multiple Integrals -- Problem Set 6.3 -- 7. Initial Value Problems -- 7.1. Introduction -- 7.2. Euler's Method -- 7.3. Runge-Kutta Methods -- Problem Set 7.1 -- 7.4. Stability and Stiffness -- 7.5. Adaptive Runge-Kutta Method -- 7.6. Bulirsch-Stoer Method -- Problem Set 7.2 -- 8. Two-Point Boundary Value Problems -- 8.1. Introduction -- 8.2. Shooting Method -- Problem Set 8.1 -- 8.3. Finite Difference Method -- Problem Set 8.2 -- 9. Symmetric Matrix Eigenvalue Problems -- 9.1. Introduction -- 9.2. Jacobi Method -- 9.3. Inverse Power and Power Methods -- Problem Set 9.1 -- 9.4. Householder Reduction to Tridiagonal Form -- 9.5. Eigenvalues of Symmetric Tridiagonal Matrices -- Problem Set 9.2 -- 10. Introduction to Optimization -- 10.1. Introduction -- 10.2. Minimization along a Line -- 10.3. Powell's Method -- 10.4. Downhill Simplex Method -- Problem Set 10.1 -- Appendices -- A1. Taylor Series -- A2. Matrix Algebra