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 t
Theoretical Numerical Analysis: A Functional Analysis Framework
โ Scribed by Kendall Atkinson, Weimin Han
- Book ID
- 127423097
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 2 MB
- Edition
- 1
- Category
- Library
- ISBN
- 0387951423
No coin nor oath required. For personal study only.
โฆ Synopsis
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.
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