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Theoretical Numerical Analysis : a Functional Analysis Framework

Author: Weimin Han; Kendall E Atkinson
Publisher: New York : Springer, ©2009.
Series: Texts in applied mathematics, 39.
Edition/Format:   eBook : Document : English : 3rd edView all editions and formats
Summary:
This textbook prepares graduate students for research in numerical analysis/computational mathematics by giving to them a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps the student to move rapidly into a research program. The text covers basic results of functional analysis, approximation theory, Fourier analysis and wavelets, iteration methods for nonlinear  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Weimin Han; Kendall E Atkinson
ISBN: 1282333186 9781282333185 9786612333187 6612333189 1441904581 9781441904584
OCLC Number: 1097096708
Language Note: English.
Description: 1 online resource (630 pages)
Contents: Linear Spaces --
Linear Operators on Normed Spaces --
Approximation Theory --
Fourier Analysis and Wavelets --
Nonlinear Equations and Their Solution by Iteration --
Finite Difference Method --
Sobolev Spaces --
Weak Formulations of Elliptic Boundary Value Problems --
The Galerkin Method and Its Variants --
Finite Element Analysis --
Elliptic Variational Inequalities and Their Numerical Approximations --
Numerical Solution of Fredholm Integral Equations of the Second Kind --
Boundary Integral Equations --
Multivariable Polynomial Approximations.
Series Title: Texts in applied mathematics, 39.
Responsibility: by Weimin Han, Kendall E. Atkinson.

Abstract:

This book prepares graduate students for research in numerical analysis/computational mathematics by giving a mathematical framework embedded in functional analysis and focused on numerical analysis.  Read more...

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From the reviews of the third edition:"Overall, the book is clearly written, quite pleasant to read, and contains a lot of important material; and the authors have done an excellent job at balancing Read more...

 
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