Theoretical Numerical Analysis: A Functional Analysis Framework

Ön Kapak
Springer Science & Business Media, 21 Haz 2007 - 576 sayfa
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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İçindekiler

Linear Spaces
1
Linear Operators on Normed Spaces 51
50
Approximation Theory
113
Fourier Analysis and Wavelets
161
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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Popüler pasajlar

Sayfa 559 - W. Freeden, T. Gervens, and M. Schreiner, Constructive Approximation on the Sphere, with Applications to Geomathematics, Oxford
Sayfa 559 - G. Fichera, Problemi elastostatici con vincoli unilateral!: il problema di Signorini con ambiguë condizioni al contorno, Mem. Accad. Naz. Lincei
Sayfa 561 - M. Jaswon and G. Symm, Integral Equation Methods in Potential Theory and Elastostatics, Academic Press, 1977.

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