Mathematics of Approximation, 2012 Mathematics Textbooks for Science and Engineering Series, Vol. 1
Auteur : De Villiers Johan
Polynomial Interpolation Formulas.- Error Analysis For Polynomial Interpolation.- Polynomial Uniform Convergence.- Best Approximation.- Approximation Operators.- Best Uniform Polynomial Approximation.- Orthogonality.- Interpolatory Quadrature.- Approximation of Periodic Functions.- Spline Approximation.
Prerequisites of only calculus and linear algebra
Self-contained and rigorous treatment of the mathematics of approximation
Includes new results,in particular those on local spline interpolation, and its connection to quadrature
A new method of proof of the Euler-Maclaurin formula is presented
The topic of quadrature formulas and their error analysis is given an extensive treatment
The Weierstrass theorem is rigorously proved for both algebraic and trigonometric polynomials
Both Fourier series and the Gram-Schmidt procedure are developed from best approximation
Includes supplementary material: sn.pub/extras
Date de parution : 06-2015
Ouvrage de 406 p.
15.5x23.5 cm