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Partial differential equations : theory and completely solved problems / Thomas Hillen, I. Ed Leonard, Henry van Roessel

Ouvrage
Auteur principal: Hillen, Thomas, 1966-, AuteurAuteur secondaire: Leonard, I. Ed., 1938-, Auteur•Van Roessel, Henry, 1956-, AuteurLangue : anglaisPays : Etats-Unis.Publication : Hoboken, N.J. : Wiley, cop. 2012Description: 1 vol. (XIII - 678 p.), ill., 24 cmISBN : 9781118063309; 1-11-806330-9.Note de contenu : Introduction Fourier series Separation of variables Sturm-Liouville theory Heat, wave, and Laplace equations Polar coordinates Spherical coordinates Fourier transforms Fourier transform methods in PDEs Method of characteristics Fourier series problems Sturm-Liouville problems Heat equation problems Wave equation problems Laplace equation problems Fourier transform problems Method of characteristics problems Résumé : "Combining over 28 years of teaching experience, the authors present a PDE text that is accessible to all students, regardless of their background or mathematical sophistication. The book provides over 150 completely worked problems with solutions and commentaries for both linear partial differential equations and boundary value problems with applications in engineering and biology. Topics covered include a classification of PDEs, heat equation, wave equation, Laplace's equation, separation of variables, Fourier series, classical PDEs, Sturm-Liouville problems, special functions, transform methods, and the method of characteristics for first order PDEs",.Bibliographie : Notes bibliogr. Index..Sujet - Nom commun: Differential equations, Partial | Équations différentielles
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Ouvrage Ouvrage La bibliothèque de l'ESPCI Magasin ED-026 (Browse shelf(Opens below)) Available ED-026

Notes bibliogr. Index.

Introduction Fourier series Separation of variables Sturm-Liouville theory Heat, wave, and Laplace equations Polar coordinates Spherical coordinates Fourier transforms Fourier transform methods in PDEs Method of characteristics Fourier series problems Sturm-Liouville problems Heat equation problems Wave equation problems Laplace equation problems Fourier transform problems Method of characteristics problems

"Combining over 28 years of teaching experience, the authors present a PDE text that is accessible to all students, regardless of their background or mathematical sophistication. The book provides over 150 completely worked problems with solutions and commentaries for both linear partial differential equations and boundary value problems with applications in engineering and biology. Topics covered include a classification of PDEs, heat equation, wave equation, Laplace's equation, separation of variables, Fourier series, classical PDEs, Sturm-Liouville problems, special functions, transform methods, and the method of characteristics for first order PDEs",