Content: Matrices
Fundamental Matrix Operations
Fundamental Matrix Transformations
Solving Matrix Equations
Nonlinear Functions and Matrix Function Evaluations Integral Transforms and Complex-Valued Functions
Laplace Transforms and Their Inverses
Fourier Transforms and Their Inverses
Other Integral Transforms
z Transforms and Their Inverses
Essentials of Complex-Valued Functions
Solving Complex-Valued Function Problems
Solutions of Difference Equations Nonlinear Equations and Numerical Optimization Problems
Nonlinear Algebraic Equations
Nonlinear Equations with Multiple Solutions
Unconstrained Optimization Problems
Constrained Optimization Problems
Mixed Integer Programming Problems
Linear Matrix Inequalities
Solutions of Multi-Objective Programming Problems
Dynamic Programming and Shortest Path Planning Differential Equation Problems
Analytical. Solution Methods for Some Ordinary Differential Equations
Numerical Solutions to Ordinary Differential Equations
Transforms to Standard Differential Equations
Solutions to Special Ordinary Differential Equations
Solutions to Delay Differential Equations
Solving Boundary Value Problems
Introduction to Partial Differential Equations
Solving ODEs with Block Diagrams in Simulink Data Interpolation and Functional Approximation Problems
Interpolation and Data Fitting
Spline Interpolation and Numerical Calculus
Fitting Mathematical Models from Data
Rational Function Approximations
Special Functions and Their Plots
Signal Analysis and Digital Signal Processing Probability and Mathematical Statistics Problems
Probability Distributions and Pseudorandom Numbers
Solving Probability Problems
Fundamental Statistical Analysis
Statistical Estimations
Statistical Hypothesis Tests.
Analysis of Variance
Principal Component Analysis Topics on Nontraditional Mathematical Branches
Fuzzy Logic and Fuzzy Inference
Rough Set Theory and Its Applications
Neural Network and Applications in Data Fitting Problems
Evolutionary Computing and Global Optimization Problem Solutions
Wavelet Transform and Its Applications in Data Processing
Fractional-Order Calculus MATLAB Functions Index
Index Exercises and Bibliography appear at the end of each chapter.