Mathematics of Approximation is popular PDF and ePub book, written by Johan De Villiers in 2012-06-30, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Mathematics of Approximation can be Read Online from any device for your convenience.
Mathematics of Approximation Book PDF Summary
The approximation of a continuous function by either an algebraic polynomial, a trigonometric polynomial, or a spline, is an important issue in application areas like computer-aided geometric design and signal analysis. This book is an introduction to the mathematical analysis of such approximation, and, with the prerequisites of only calculus and linear algebra, the material is targeted at senior undergraduate level, with a treatment that is both rigorous and self-contained. The topics include polynomial interpolation; Bernstein polynomials and the Weierstrass theorem; best approximations in the general setting of normed linear spaces and inner product spaces; best uniform polynomial approximation; orthogonal polynomials; Newton-Cotes , Gauss and Clenshaw-Curtis quadrature; the Euler-Maclaurin formula ; approximation of periodic functions; the uniform convergence of Fourier series; spline approximation,with an extensive treatment of local spline interpolation,and its application in quadrature. Exercises are provided at the end of each chapter
Detail Book of Mathematics of Approximation PDF
- Author : Johan De Villiers
- Release : 30 June 2012
- Publisher : Springer Science & Business Media
- ISBN : 9789491216503
- Genre : Mathematics
- Total Page : 418 pages
- Language : English
- PDF File Size : 21,8 Mb
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