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Differential equations and their applications / Martin Braun

Public ISBD Titre : Differential equations and their applications : an introduction to applied mathematics Type de document : texte imprimé Auteurs : Martin Braun, Auteur Mention d'édition : 4 éd Editeur : Berlin : Springer-Verlag Année de publication : 1993 Collection : Texts in applied mathematics num. 11 Importance : 578 p. Présentation : ill. Format : 25 cm ISBN/ISSN/EAN : 978-0-387-97894-9 Note générale : With 68 ill. Index Langues : Anglais (eng) Mots-clés : Differential  equations Équations  différentielles  --  Problèmes  et  exercices Index. décimale : 517.911 Questions générales. Théorèmes d'existence. Théorèmes d'unicité. Différentiabilité des solutions Résumé : This text is a clearly written and complete introductory study of differential equations and their applications. Suitable for a one- or two-semester course on the subject, the material is fully comprehensible to anyone who has studied college-level calculus. This book distinguishes itself from other differential equation texts through its application of the subject matter to fascinating events and its incorporation of relatively recent developments in the field. Some applications include: a proof that the painting, "Disciples at Emmaus," bought by the Rembrandt Society of Belgium was a modern forgery; a mathematical explanation of the Tacoma Bridge disaster; a model of the blood glucose regulatory system which leads to a criterion for the diagnosis of diabetes; an explanation of why the predator portion (sharks, skates, rays, etc.) of all fish caught in the port of Fiume, Italy, rose dramatically during the years of World War I; a mathematical verification of Darwin's law that "the more similar two species are, the fiercer is the struggle for existence between them." Note de contenu : 1 First-order differential equations 2 Second-order linear differential equations 3 Systems of differential equations 4 Qualitative theory of differential equations 5 Separation of variables and Fourier series 6 Sturm-Liouville boundary value problems Differential equations and their applications : an introduction to applied mathematics [texte imprimé] / Martin Braun, Auteur  . -  4 éd . - Springer-Verlag, 1993 . - 578 p. : ill. ; 25 cm. - (Texts in applied mathematics; 11) . ISBN : 978-0-387-97894-9 With 68 ill. Index Langues : Anglais (eng) Mots-clés : Differential  equations Équations  différentielles  --  Problèmes  et  exercices Index. décimale : 517.911 Questions générales. Théorèmes d'existence. Théorèmes d'unicité. Différentiabilité des solutions Résumé : This text is a clearly written and complete introductory study of differential equations and their applications. Suitable for a one- or two-semester course on the subject, the material is fully comprehensible to anyone who has studied college-level calculus. This book distinguishes itself from other differential equation texts through its application of the subject matter to fascinating events and its incorporation of relatively recent developments in the field. Some applications include: a proof that the painting, "Disciples at Emmaus," bought by the Rembrandt Society of Belgium was a modern forgery; a mathematical explanation of the Tacoma Bridge disaster; a model of the blood glucose regulatory system which leads to a criterion for the diagnosis of diabetes; an explanation of why the predator portion (sharks, skates, rays, etc.) of all fish caught in the port of Fiume, Italy, rose dramatically during the years of World War I; a mathematical verification of Darwin's law that "the more similar two species are, the fiercer is the struggle for existence between them." Note de contenu : 1 First-order differential equations 2 Second-order linear differential equations 3 Systems of differential equations 4 Qualitative theory of differential equations 5 Separation of variables and Fourier series 6 Sturm-Liouville boundary value problems

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Code-barres	Cote	Support	Localisation	Section	Disponibilité	Etat_Exemplaire
046777	517.911 BRA	Papier	Bibliothèque Centrale	Mathématiques	Disponible