Numerical Analysis: Using MATLAB and Excel by Steven T. Karris
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 accurate and quick solutions.
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