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Theoretical Numerical Analysis: (3rd Edition) by Kendall E. Atkinson, Weimin Han
(A functional analysis framework)
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About this book :-
Theoretical Numerical Analysis: (3rd Edition) written by
Kendall Atkinson, Weimin Han .
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 equations, finite difference methods, Sobolev spaces and weak formulations of boundary value problems, finite element methods, elliptic variational inequalities and their numerical solution, numerical methods for solving integral equations of the second kind, boundary integral equations for planar regions, and multivariable polynomial approximations. The presentation of each topic is meant to be an introduction with certain degree of depth. Comprehensive references on a particular topic are listed at the end of each chapter for further reading and study. In this third edition, a new chapter, Multivariable Polynomial Approximations, is included, numerous changes are made throughout the entire text, and new exercises are added.
"...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 theoretical developments, interesting examples and exercises, numerical experiments, and bibliographical references."
Book Detail :-
Title: Theoretical Numerical Analysis
Edition: 3rd
Author(s): Kendall Atkinson, Weimin Han
Publisher: Springer-Verlag New York
Series: Texts in Applied Mathematics
Year: 2009
Pages: 631
Type: PDF
Language: English
ISBN: 9781441904577,1441904573
Country: US
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About Author :-
The author Kendall Atkinson , Department of Computer Science, Department of Mathematics, University of Iowa, US
He received his B.S. in 1961 from Iowa State University and his M.S. in 1963 and Ph.D. in 1966 from the University of Wisconsin.
He recipient Collegiate Teaching Award of the University of Iowa in 1995 and is a member of the Society of Industrial and Applied Mathematics, the American Mathematical Society, and the Australian Mathematical Society. His research interests include numerical solution of integral equations, boundary integral equation methods and multivariate approximation, interpolation, and quadrature.
The author Weimin Han , Professor of Mathematics, Director of AMCS, an Interdisciplinary Ph.D. Program, University of Iowa, Iowa City, Iowa.
His work is about Variational/Hemivariational Inequalities in Plasticity and Contact Mechanics, Biomedical Imaging and Inverse Problems, Discontinuous Galerkin Methods, Virtual Element Methods
Other famous books of similar Author :-
Here is list all books avaliable of this author.
• Download PDF Elementary Numerical Analysis (3E) by Kendall Atkinson, Weimin Han
• Download PDF Theoretical Numerical Analysis (3E) by Kendall Atkinson, Weimin Han
• Download PDF Numerical Solution of Integral Equations by K. E. Atkinson, Edit by Michael A. Golberg
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Book Contents :-
Theoretical Numerical Analysis: (3rd Edition) written by
Kendall Atkinson, Weimin Han
cover the following topics.
1. Linear Spaces
2. Linear Operators on Normed Spaces
3. Approximation Theory
4. Fourier Analysis and Wavelets
5. Nonlinear Equations and Their Solution by Iteration
6. .Finite Difference Method
7. Sobolev Spaces
8. Weak Formulations of Elliptic Boundary Value Problems
9. The Galerkin Method and Its Variants
10. Finite Element Analysis
11. Elliptic Variational Inequalities and Their Numerical Approximations
12. Numerical Solution of Fredholm Integral Equations of the Second Kind
13. Boundary Integral Equations
14. Multivariable Polynomial Approximations
References
Index
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