The Leading eBooks Store Online 4,034,055 members ⚫ 1,328,001 ebooks

New to

Learn more

Mathematics of Approximation

Mathematics of Approximation by Johan De Villiers
Buy this eBook
US$ 99.00
(If any tax is payable it will be calculated and shown at checkout.)
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
Atlantis Press; June 2012
417 pages; ISBN 9789491216503
Read online, or download in secure PDF format
Title: Mathematics of Approximation
Author: Johan De Villiers
  • News
  • Contents
No entry found