Numerical Analysis Using MATLAB and Spreadsheets, Second Edition

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Publisher: Orchard Publications;
ISBN: B00099IG08; (April 2004)

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This text provides complete, clear, and detailed explanations of the principal numerical analysis methods including the Newton and Runge-Kutta methods of solving non-linear differential equations, and well known functions such as Bessel functions and Chebyshev polynomials, and many others used in science and engineering. These are illustrated with many practical examples. No previous MATLAB knowledge is required. Chaptet 1 and the inexpensive MATLAB Student Version (5 through 14) is all you need to get started. With this text you will learn numerical analysis with many real-world applications, MATLAB, and Spreadsheets simultaneously.

This text includes the following chapters:
ò Introduction to MATLAB
ò Root Approximations
ò Sinusoids and Complex Numbers
ò Matricesand Determinants
ò Review of Differential Equations
ò Fourier, Taylor, and Maclaurin Series
ò Finite Differences and Interpolation
ò Linear and Parabolic Regression
ò Solution of DifferentialEquations by Numerical Methods
ò Integration by Numerical Methods
ò Difference Equationsò Partial Fraction Expansion
ò The Gamma and Beta Functions
ò Orthogonal Functions and MatrixFactorizations
ò Bessel, Legendre, and Chebyshev Polynomials
ò Optimization MethodsEach chapter contains numerous practical applications supplemented with detailed instructionsfor using MATLABand/or Microsoft Excel« to obtain quick solutions.


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