Integral Equations

Name: Integral Equations
Brand: Springer Basel
SKU: 9783034899475
Price: 553.38 RON
Availability: InStock

Theory and Numerical Treatment

Autor: Wolfgang Hackbusch

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Editura: Springer Basel

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The theory of integral equations has been an active research field for many years and is based on an...

Informații despre carte

Autor

Wolfgang Hackbusch

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2011

Pagini

362

EAN

9783034899475

ISBN

3034899475

Enbook ID

06798761

Editura

Springer Basel

Greutate

575

Dimensiuni

155 x 19 x 19

Descriere completă

The theory of integral equations has been an active research field for many years and is based on analysis, function theory, and functional analysis. On the other hand, integral equations are of practical interest because of the "boundary integral equation method", which transforms partial differential equations on a domain into integral equations over its boundary. This book grew out of a series of lectures given by the author at the Ruhr-Universitat Bochum and the Christian-Albrecht-Universitat zu Kiel to students of mathematics. The contents of the first six chapters correspond to an intensive lecture course of four hours per week for a semester. Readers of the book require background from analysis and the foundations of numeri cal mathematics. Knowledge of functional analysis is helpful, but to begin with some basic facts about Banach and Hilbert spaces are sufficient. The theoretical part of this book is reduced to a minimum; in Chapters 2, 4, and 5 more importance is attached to the numerical treatment of the integral equations than to their theory. Important parts of functional analysis (e. g. , the Riesz-Schauder theory) are presented without proof. We expect the reader either to be already familiar with functional analysis or to become motivated by the practical examples given here to read a book about this topic. We recall that also from a historical point of view, functional analysis was initially stimulated by the investigation of integral equations.

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Integral Equations

Theory and Numerical Treatment

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