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Hilbert transforms. vol1 / King, Frederick W.

Public ISBD Titre : Hilbert transforms. vol1 Type de document : texte imprimé Auteurs : King, Frederick W., Auteur Editeur : Cambridge : Cambridge University Press Année de publication : 2009 Collection : Encyclopedia of mathematics and its applications, ISSN 0953-4806 Importance : 858 p. Présentation : ill. Format : 24 cm. ISBN/ISSN/EAN : 978-0-521-88762-5 Langues : Anglais (eng) Mots-clés : Hilbert  transform  ''  Hilbert  Transformation  de  QA432.  .K56  2009 Index. décimale : 517.3 Calcul intégral. Intégration Résumé : The Hilbert transform has many uses, including solving problems in aerodynamics, condensed matter physics, optics, fluids, and engineering. Written in a style that will suit a wide audience (including the physical sciences), this book will become the reference of choice on the topic, whatever the subject background of the reader. It explains all the common Hilbert transforms, mathematical techniques for evaluating them, and has detailed discussions of their application. Especially useful for researchers are the tabulation of analytically evaluated Hilbert transforms, and an atlas that immediately illustrates how the Hilbert transform alters a function. A collection of exercises helps the reader to test their understanding of the material in each chapter. The bibliography is a wide-ranging collection of references both to the classical mathematical papers, and to a diverse array of applications Note de contenu : Volume I: 1. Introduction. 2. Review of some background mathematics. 3. Derivation of the Hilbert transform relations. 4. Some basic properties of the Hilbert transform. 5. Relationship between the Hilbert transform and some common transforms. 6. The Hilbert transform of periodic functions. 7. Inequalities for the Hilbert transform. 8. Asymptotic behavior of the Hilbert transform. 9. Hilbert transforms of some special functions. 10. Hilbert transforms involving distributions. 11. The finite Hilbert transform. 12. Some singular integral equations. 13. Discrete Hilbert transforms. 14. Numerical evaluation of Hilbert transforms; References. Subject index; Author index. Hilbert transforms. vol1 [texte imprimé] / King, Frederick W., Auteur . - Cambridge University Press, 2009 . - 858 p. : ill. ; 24 cm.. - (Encyclopedia of mathematics and its applications, ISSN 0953-4806) . ISBN : 978-0-521-88762-5 Langues : Anglais (eng) Mots-clés : Hilbert  transform  ''  Hilbert  Transformation  de  QA432.  .K56  2009 Index. décimale : 517.3 Calcul intégral. Intégration Résumé : The Hilbert transform has many uses, including solving problems in aerodynamics, condensed matter physics, optics, fluids, and engineering. Written in a style that will suit a wide audience (including the physical sciences), this book will become the reference of choice on the topic, whatever the subject background of the reader. It explains all the common Hilbert transforms, mathematical techniques for evaluating them, and has detailed discussions of their application. Especially useful for researchers are the tabulation of analytically evaluated Hilbert transforms, and an atlas that immediately illustrates how the Hilbert transform alters a function. A collection of exercises helps the reader to test their understanding of the material in each chapter. The bibliography is a wide-ranging collection of references both to the classical mathematical papers, and to a diverse array of applications Note de contenu : Volume I: 1. Introduction. 2. Review of some background mathematics. 3. Derivation of the Hilbert transform relations. 4. Some basic properties of the Hilbert transform. 5. Relationship between the Hilbert transform and some common transforms. 6. The Hilbert transform of periodic functions. 7. Inequalities for the Hilbert transform. 8. Asymptotic behavior of the Hilbert transform. 9. Hilbert transforms of some special functions. 10. Hilbert transforms involving distributions. 11. The finite Hilbert transform. 12. Some singular integral equations. 13. Discrete Hilbert transforms. 14. Numerical evaluation of Hilbert transforms; References. Subject index; Author index.

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Code-barres	Cote	Support	Localisation	Section	Disponibilité	Etat_Exemplaire
052145	517.3 KIN	Papier	Bibliothèque Centrale	Mathématiques	Disponible

The Cauchy problem / Fattorini, Hector O.

Public ISBD Titre : The Cauchy problem Type de document : texte imprimé Auteurs : Fattorini, Hector O., Auteur Editeur : Cambridge : Cambridge University Press Année de publication : 1999 Collection : Encyclopedia of mathematics and its applications, ISSN 0953-4806 Importance : xii-636 p. Présentation : ill. Format : 24 cm ISBN/ISSN/EAN : 978-0-521-09686-7 Note générale : Bibliogr., Index Langues : Français (fre) Mots-clés : Cauchy,  Problème  differential  equations  ''  mathematical  physics  --  equations Index. décimale : 517.955 Problèmes de Cauchy pour les équations aux dérivées partielles Résumé : This volume deals with the Cauchy or initial value problem for linear differential equations. It treats in detail some of the applications of linear space methods to partial differential equations, especially the equations of mathematical physics such as the Maxwell, Schrödinger, and Dirac equations. Background material presented in the first chapter makes the book accessible to mathematicians and physicists who are not specialists in this area as well as to graduate students. Note de contenu : 1. Elements of functional analysis 2. The cauchy problem for some equations of mathematical physics: the abstract cauchy problem 3. Properly posed cauchy problems: general theory 4. Dissipative operators and applications 5. Abstract parabolic equations: applications to second order parabolic equations 6. Perturbation and approximation of abstract differential equations 7. Some improperly posed cauchy problems 8. The abstract cauchy problem for time-dependent equations 9. The cauchy problem in the sense of vector-valued distributions The Cauchy problem [texte imprimé] / Fattorini, Hector O., Auteur . - Cambridge University Press, 1999 . - xii-636 p. : ill. ; 24 cm. - (Encyclopedia of mathematics and its applications, ISSN 0953-4806) . ISBN : 978-0-521-09686-7 Bibliogr., Index Langues : Français (fre) Mots-clés : Cauchy,  Problème  differential  equations  ''  mathematical  physics  --  equations Index. décimale : 517.955 Problèmes de Cauchy pour les équations aux dérivées partielles Résumé : This volume deals with the Cauchy or initial value problem for linear differential equations. It treats in detail some of the applications of linear space methods to partial differential equations, especially the equations of mathematical physics such as the Maxwell, Schrödinger, and Dirac equations. Background material presented in the first chapter makes the book accessible to mathematicians and physicists who are not specialists in this area as well as to graduate students. Note de contenu : 1. Elements of functional analysis 2. The cauchy problem for some equations of mathematical physics: the abstract cauchy problem 3. Properly posed cauchy problems: general theory 4. Dissipative operators and applications 5. Abstract parabolic equations: applications to second order parabolic equations 6. Perturbation and approximation of abstract differential equations 7. Some improperly posed cauchy problems 8. The abstract cauchy problem for time-dependent equations 9. The cauchy problem in the sense of vector-valued distributions

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité	Etat_Exemplaire
052120	517.955 FAT	Papier	Bibliothèque Centrale	Mathématiques	Disponible