The matrix structure of MATLAB enables fast Mathematics. The most important topics covered in this book are the following: Interpolation Interpolating Gridded Data Gridded Data Representation Interpolation of 2-D Selections in 3-D Grids Interpolating Scattered Data Triangulation Extrapolating Scattered Data Extrapolation of 3-D Data Optimization Function Summary Optimizing Nonlinear Functions Minimizing Functions of One Variable Minimizing Functions of Several Variables Maximizing Functions Curve Fitting via Optimization Curve Fitting by Optimization Output Functions Plot Functions Function Handles Parameterizing Functions Calculus Ordinary Differential Equations Initial Value Problems Types of Solvers Solver Syntax Integrator Options Troubleshooting Types of DDEs Constant Delay DDEs Time-Dependent and State-Dependent DDEs DDEs of Neutral Type Evaluating the Solution at Specific Points History and Initial Values Propagation of Discontinuities Discontinuities in DDEs DDE with Constant Delays State-Dependent Delay Problem DDE of Neutral Type Initial Value DDE of Neutral Type Boundary-Value Problems BVP Solver Integrator Options Partial Differential Equations Initial Value Problems PDE Solver Integration to Find Arc Length Fourier Transforms Discrete Fourier Transform (DFT) Fast Fourier Transform (FFT).