The Best Approximation Method An Introduction

Language: English

Published by Springer, Springer Mär 1987, 1987

3540175725 / 9783540175728

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This item is printed on demand - Print on Demand Titel. Neuware -The most commonly used numerical techniques in solving engineering and mathematical models are the Finite Element, Finite Difference, and Boundary Element Methods. As computer capabilities continue to impro':e in speed, memory size and access speed, and lower costs, the use of more accurate but computationally expensive numerical techniques will become attractive to the practicing engineer. This book presents an introduction to a new approximation method based on a generalized Fourier series expansion of a linear operator equation. Because many engineering problems such as the multi dimensional Laplace and Poisson equations, the diffusion equation, and many integral equations are linear operator equations, this new approximation technique will be of interest to practicing engineers. Because a generalized Fourier series is used to develop the approxi mator, a 'best approximation' is achieved in the 'least-squares' sense; hence the name, the Best Approximation Method. This book guides the reader through several mathematics topics which are pertinent to the development of the theory employed by the Best Approximation Method. Working spaces such as metric spaces and Banach spaces are explained in readable terms. Integration theory in the Lebesque sense is covered carefully. Because the generalized Fourier series utilizes Lebesque integration concepts, the integra tion theory is covered through the topic of converging sequences of functions with respect to measure, in the mean (Lp), almost uniformly IV and almost everywhere. Generalized Fourier theory and linear operator theory are treated in Chapters 3 and 4.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 188 pp. Englisch. …

Seller Inventory # 9783540175728

Title
The Best Approximation Method An Introduction
Author
Theodore V. II Hromadka
Publisher
Springer, Springer Mär 1987
Publication year
1987
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3540175725
ISBN 13
9783540175728
Item weight
335 grams
Dimensions
244x170x11 mm

buchversandmimpf2000

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