Karris S.T. Numerical Analysis Using MatLAB and Excel

3rd edition. — Orchard Publications, 2007. — 627 p.This text is written primarily for students/readers who have a good background of high school algebra, geometry, trigonometry, and the fundamentals of differential and integral calculus. Each chapter contains numerous practical applications supplemented with detailed instructions for using MatLAB and/or Excel to obtain quick solutions.Introduction to MatLAB
Root Approximations
Sinusoids and Complex Numbers
Matrices and Determinants
Review of Differential Equations
Fourier, Taylor, and Maclaurin Series
Finite Differences and Interpolation
Linear and Parabolic Regression
Solution of Differential Equations by Numerical Methods
Integration by Numerical Methods
Difference Equations
Partial Fraction Expansion
The Gamma and Beta Functions
Orthogonal Functions and Matrix Factorizations
Bessel, Legendre, and Chebyshev Polynomials
Optimization Methods
Difference Equations in Discrete Time Systems
Introduction to Simulink
Ill Conditioned Matrices