Science/Engineering Abel Integral Equations: Analysis and Applications (354053668X)

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Rudolf Gorenflo, Sergio Vessella, "Abel Integral Equations: Analysis and Applications"

In many fields of application of mathematics, progress is crucially dependent on the good flow of information between (i) theoretical mathematicians looking for applications, (ii) mathematicians working in applications in need of theory, and (iii) scientists and engineers applying mathematical models and methods. The intention of this book is to stimulate this flow of information. In the first three chapters (accessible to third year students of mathematics and physics and to mathematically interested engineers) applications of Abel integral equations are surveyed broadly including determination of potentials, stereology, seismic travel times, spectroscopy, optical fibres. In subsequent chapters (requiring some background in functional analysis) mapping properties of Abel integral operators and their relation to other integral transforms in various function spaces are investi- gated, questions of existence and uniqueness of solutions of linear and nonlinear Abel integral equations are treated, and for equations of the first kind problems of ill-posedness are discussed. Finally, some numerical methods are described. In the theoretical parts, emphasis is put on the aspects relevant to applications.

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	Science/Engineering Hypersingular Integral Equations and Their Applications I.K. Lifanov, L.N. Poltavskii, MG.M. Vainikko, "Hypersingular Integral Equations and Their Applications" CRC \| 2003 \| ISBN: 0415309980 \| 408 pages \| PDF \| 6,2 MB A number of new methods for solving singular and hypersingular integral eq ...
	Science/Engineering Random Integral Equations with Applications to Stochastic Systems C. P. Tsokos, W. J. Padgett, "Random Integral Equations with Applications to Stochastic Systems" Springer \| 1972 \| ISBN: 3540056602 \| 184 pages \| PDF \| 1,4 MB Not all books on AvaxHome appear on the homepage. In order not to miss ma ...
	Science/Engineering Numerical Analysis for Integral and Related Operator Equations: OT 52 (Operator Theory: Advances and Applications) Numerical Analysis for Integral and Related Operator Equations: OT 52 (Operator Theory: Advances and Applications): Siegfried Proessdorf and Bernd Silbermann Birkhauser \| ISBN: 3764326204 \| 1991-11-01 \| djvu (ocr) \| 542 pages \| 4.78 Mb Abo ...
	Technical Numerical Analysis for Integral and Related Operator Equations: OT`52 (Operator Theory: Advances and Applications) ISBN: 3764326204 Publisher: BirkhÃ¤user Basel Author: PrÃ¶ssdorf, SilbermannDescription:Download:
	Integral Equations and Applications C. Corduneanu, "Integral Equations and Applications" Cambridge University Press \| 2008 \| ISBN: 052109190X \| 380 pages \| PDF \| 2,6 MB The purpose of this book is threefold: to be used for graduate courses on integral equations; to be a r ...
	Technical Hypersingular Integral Equations and Their Applications (Differential and Integral Equations and Their Applications, 4) ISBN: 0415309980 Publisher: CRC Press Author: I.K. Lifanov, L.N. Poltavskii, MG.M. VainikkoDescription:A number of new methods for solving singular and hypersingular integral equations have emerged in recent years. This volume presents some ...

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