Linear integral equations / Rainer Kress
Type de document : MonographieCollection : Applied mathematical sciences, 82Langue : anglais.Pays: Etats Unis.Mention d'édition: 2nd ed.Éditeur : New York : Springer, cop. 1999Description : 1 vol. (XIV-365 p.) ; 24 cmISBN: 0387987002.ISSN: 0066-5452.Bibliographie : Bibliogr. p. 347-359. Index.Sujet MSC : 45-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to integral equations65R20, Numerical analysis, Numerical methods for integral equations
65R30, Numerical analysis, Numerical methods for ill-posed problems for integral equations
45A05, Linear integral equations
45B05, Integral equations, Fredholm integral equations
45E05, Singular integral equations, Integral equations with kernels of Cauchy typeEn-ligne : Springerlink
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Bibliogr. p. 347-359. Index
This book resulted from the author's fascination with the mathematical beauty of integral equations. It is an attempt to combine theory, applications, and numerical methods, and cover each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers, the author has made the work as self-contained as possible, by requiring only a solid foundation in differential and integral calculus. The functional analysis which is necessary for an adequate treatment of the theory and the numerical solution of integral equations is developed within the book. Problems are included at the end of each chapter. For the second edition, in addition to corrections and adjustments throughout the text, as well as an updated reference section, new topics have been added. (Source : Springer)
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