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Theoretical numerical analysis : a functional analysis framework
Autor: Atkinson, Kendall E.
Rok: c2001
ISBN: 9780387951423
OKCZID: 110027159
Citace (dle ČSN ISO 690):
ATKINSON, Kendall E. Theoretical numerical analysis: a functional analysis framework. New York: Springer, c2001. xvi, 450 s. Texts in applied mathematics, 39.
Anotace
This book gives an introduction to functional analysis for graduate students pursuing research involving numerical analysis. The text covers basic results of functional analysis as well as additional topics needed in theoretical numerical analysis. Applications of functional analysis are given by considering numerical methods for solving partial differential equations and integral equations. Extensive exercises are included at the end of each section along with recommendations for additional reading. This book is especially suited to students interested in the numerical solution of differential and/or integral equations, but it will also appeal to numerical analysts and mathematically-oriented students and researchers in engineering, physics, and related areas.