Authors:
- 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
Part of the book series: Mathematics Textbooks for Science and Engineering (MTSE, volume 1)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (10 chapters)
-
Front Matter
-
Back Matter
About this book
Reviews
From the reviews:
“The current book presents a compilation of lecture notes delivered by Professor Johan de Villiers at Stellen Bosch University, South Africa. This hardbound treatise titled Mathematics of approximation is a reader-friendly volume spanning over 425 pages. … The content is self-contained and can be used for both classroom teaching and self-study. … The theory is illustrated by a number of solved examples. This is one of the many graces of the book.” (Sarjoo Prasad Yadav, Mathematical Reviews, February, 2013)Authors and Affiliations
-
, Department of Mathematical Sciences, Stellenbosch University, Matieland, South Africa
Johan Villiers
Bibliographic Information
Book Title: Mathematics of Approximation
Authors: Johan Villiers
Series Title: Mathematics Textbooks for Science and Engineering
DOI: https://doi.org/10.2991/978-94-91216-50-3
Publisher: Atlantis Press Paris
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Atlantis Press 2012
Hardcover ISBN: 978-94-91216-49-7Published: 01 July 2012
Softcover ISBN: 978-94-6239-046-1Published: 27 June 2015
eBook ISBN: 978-94-91216-50-3Published: 30 June 2012
Series ISSN: 2213-0853
Series E-ISSN: 2213-087X
Edition Number: 1
Number of Pages: XXI, 406
Topics: Mathematics, general, Computational Mathematics and Numerical Analysis, Approximations and Expansions, Mathematics of Computing, Mathematical and Computational Engineering
