Numerical Analysis Using MATLAB® and Spreadsheets 2nd ed - Steven T. Karris (Orchard Publications, 2004).pdf
ISBN: ISBN 0-9744239-1-2
Annotation This text provides complete, clear, and detailed explanations of the principal numerical analysis methods and well known functions used in science and engineering. These are illustrated with many practical examples. With this text the reader learns numerical analysis with many real-world applications, MATLAB, and spreadsheets simultaneously.This text includes the following chapters:
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 MethodsEach chapter contains numerous practical applications
supplemented with detailed instructionsfor using MATLAB and/or Microsoft Excel
to obtain quick solutions
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