Mathematics of Approximation PDF ePub eBook

Books Info:

Mathematics of Approximation free pdf 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

About Johan De Villiers

Sad to say, presently we simply cannot offer you information about the actual Manager Johan De Villiers. Nevertheless does not mean that we do not work to be with her selection. We ask that you allow us on this subject. For those who have down time and need will exceptionally appreciate when you share with us your data. Any time getting this kind of suggestions and data by customers in regards to the Mathematics of Approximation Manager Johan De Villiers, all of us very first her check. Once we all ensure that almost all correct, merely post the idea. Most of us can see this help and also appreciate it beforehand.

Details Book

Author : Johan De Villiers
Publisher : Atlantis Press (Zeger Karssen)
Data Published : 01 July 2012
ISBN : 949121649X
EAN : 9789491216497
Format Book : PDF, Epub, DOCx, TXT
Number of Pages : 406 pages
Age + : 15 years
Language : English
Rating :

Reviews Mathematics of Approximation



17 Comments Add a comment




Related eBooks Download


  • Interpolation and Approximation by Polynomials free pdfInterpolation and Approximation by Polynomials

    This book covers the main topics concerned with interpolation and approximation by polynomials. This subject can be traced back to the precalculus era but has enjoyed most of its growth and development since the end of the nineteenth century and is still a lively and flourishing part of mathematics..


  • Polynomial Approximation of Differential Equations (Lecture Notes in Physic ... free pdfPolynomial Approximation of Differential Equations (Lecture Notes in Physic ...

    This book is devoted to the analysis of approximate solution techniques for differential equations. based on classical orthogonal polynomials. These techniques are popularly known as spectral methods..


  • Approximation and Computation free pdfApproximation and Computation

    Approximation theory and numerical analysis are central to the creation of accurate computer simulations and mathematical models. Research in these areas can influence the computational techniques used in a variety of mathematical and computational sciences..


  • Weighted Approximation with Varying Weight free pdfWeighted Approximation with Varying Weight

    This monograph offers a new construction for approximating a logarithmic potential by a discrete one. This yields a new approach to approximation with weighted polynomials of the form wn Pn..


  • Modern Quantum Chemistry free pdfModern Quantum Chemistry

    Graduate-level text explains modern in-depth approaches to the calculation of the electronic structure and properties of molecules. Hartree-Fock approximation. electron pair approximation. much more. Largely self-contained..


  • Mathematics of Approximation free pdfMathematics of Approximation

    . 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