Solving applied mathematical problems with MATLAB

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.