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Texts in Applied Mathematics Ser.: Theoretical Numerical Analysis : A Functional Analysis Framework by Weimin Han and Kendall E. Atkinson (2007, Hardcover, Revised edition)

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This textbook covers basic results of functional analysis and also some additional topics which are needed in theoretical numerical analysis. Topics covered include nonlinear analysis, Sobolev spaces, elliptic boundary value problems, and variational inequalities.

Author
Kendall E. Atkinson, Weimin Han
Publication Name
Theoretical Numerical Analysis : a Functional Analysis Framework
Format
Hardcover
Language
English
Features
Revised
Subject
Functional Analysis, Number Systems, Mathematical Analysis
Publication Year
2007
Series
Texts in Applied Mathematics Ser.
Type
Textbook
Subject Area
Mathematics
Number of Pages
Xviii, 576 Pages

Edition Number
2
LCCN
2005-925512
Series Volume Number
Vol. 39
Lc Classification Number
Qa320.A85 2005
Edition Description
Revised Edition
Reviews
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 theoretical developments, interesting examples and exercises, numerical experiments, and bibliographical references. - SIAM
Table of Content
Preface to the Second Edition.- Preface to the First Edition.- 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.- Variational 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.- References.- Index.
Copyright Date
2007
Target Audience
Scholarly & Professional
Dewey Decimal
515
Dewey Edition
0
Illustrated
Yes

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