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Handbook of mathematics (Fifth edition) by I.N. Bronshtein, K.A. Semendyayev, Gerhard Musiol, Heiner

By I.N. Bronshtein, K.A. Semendyayev, Gerhard Musiol, Heiner Mühlig

This particularly important consultant ebook to arithmetic includes the basic operating wisdom of arithmetic that is wanted as a daily consultant for operating scientists and engineers, in addition to for college students. Now in its 5th up-to-date version, you will comprehend, and handy to take advantage of. within you’ll locate the data essential to overview so much difficulties which take place in concrete functions. within the more recent variations emphasis was once laid on these fields of arithmetic that turned extra very important for the formula and modeling of technical and ordinary tactics. For the fifth version, the chapters "Computer Algebra structures" and "Dynamical platforms and Chaos" were revised, up to date and multiplied.

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Example text

4 Discrete Chebyshev Approximation and Optimization . . 4 Harmonic Analysis . . . . . . . . . . . . . . 1 Formulas for Trigonometric Interpolation . . . . . . 2 Fast Fourier Transformation (FFT) . . . . . . . 7 Representation of Curves and Surfaces with Splines . . . . . . . . 1 Cubic Splines . . . . . . . . . . . . . . . . 1 Interpolation Splines . . . . . . . . . . . 2 Smoothing Splines . . . . . . . . . . . . 2 Bicubic Splines .

2 Optimality Conditions . . . . . . . . . . 3 Duality in Optimization . . . . . . . . . . 2 Special Non-linear Optimization Problems . . . . . . . . 1 Convex Optimization . . . . . . . . . . . 2 Quadratic Optimization . . . . . . . . . . 3 Solution Methods for Quadratic Optimization Problems . . . . 1 Wolfe's Method . . . . . . . . . . . . 2 Hildreth{d'Esopo Method . . . . . . . . . 4 Numerical Search Procedures .

1 Newton's Interpolation Formula . . . . . . . . 2 Lagrange's Interpolation Formula . . . . . . . . 3 Aitken{Neville Interpolation . . . . . . . . . 2 Approximation in Mean . . . . . . . . . . . . . 1 Continuous Problems, Normal Equations . . . . . . 3 Multidimensional Problems . . . . . . . . . 4 Non-Linear Least Squares Problems . . . . . . . 3 Chebyshev Approximation . . . . . . . . . . . . 1 Problem De nition and the Alternating Point Theorem .

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