Theoretical Numerical Analysis

A Functional Analysis Framework

Kendall Atkinson, Weimin Han (Autoren)

Buch | Hardcover

594 Seiten

2007 | 2nd Revised edition
Springer-Verlag New York Inc.
978-0-387-25887-4 (ISBN)

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Theoretical Numerical Analysis

Kendall Atkinson, Weimin Han

2010

Buch | Softcover

69, ⁵⁴ €

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This textbook covers basic results of functional analysis and also some additional topics which are needed in theoretical numerical analysis. For this second edition, a new chapter on Fourier analysis and wavelets and over 140 new exercises have been added, almost doubling the exercise amount from the last edition. Many sections from the first edition have been revised. Some of the other topics covered in this book are functional analysis and approximation theory, nonlinear analysis, Sobolev spaces, elliptic boundary value problems and variational inequalities.

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.

Erscheint lt. Verlag	1.6.2007
Reihe/Serie	Texts in Applied Mathematics ; Vol.39
Zusatzinfo	33 black & white illustrations, 8 black & white tables, 33 black & white line drawings
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Einbandart	gebunden
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-387-25887-6 / 0387258876
ISBN-13	978-0-387-25887-4 / 9780387258874
Zustand	Neuware