Theoretical Numerical Analysis: A Functional Analysis Framework

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Springer Science & Business Media, Jun 7, 2007 - Mathematics - 576 pages
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti?c disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). Thedevelopmentofnewcoursesisanaturalconsequenceofahighlevelof excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Ma- ematical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs.
 

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Contents

Linear Spaces
1
Linear Operators on Normed Spaces 51
50
Approximation Theory
113
Fourier Analysis and Wavelets
161
8
170
Nonlinear Equations and Their Solution by Iteration 201
200
Finite Difference Method
249
Sobolev Spaces 273
272
lems
323
The Galerkin Method and Its Variants
361
Elliptic Variational Inequalities and Their Numerical
412
Numerical Solution of Fredholm Integral Equations of
447
Boundary Integral Equations
523
References 555
554
Index
569
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