Karris S.T. Numerical Analysis Using MatLAB and Excel

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. This text includes the following chapters and appendices: . 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 Each chapter contains numerous practical applications supplemented with detailed instructions for using MatLAB and/or Excel to obtain quick solutions.