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Calculus without derivatives (Cop. 2013) / Jean-Paul PENOT
Titre : Calculus without derivatives Type de document : texte imprimé Auteurs : Jean-Paul PENOT, Auteur Editeur : New York : Springer-Verlag Année de publication : Cop. 2013 Collection : Graduate Texts in Mathematics, ISSN 0072-5285 num. 266 Importance : XX-524 p. ISBN/ISSN/EAN : 978-1-461-44537-1 Langues : Anglais (eng) Catégories : 49J52
49J53
52A41
54C60
58C20Mots-clés : calcul différentiel calcul des variations analyse convexe théorie de la différenciation Note de contenu : index, références Calculus without derivatives [texte imprimé] / Jean-Paul PENOT, Auteur . - Springer-Verlag, Cop. 2013 . - XX-524 p.. - (Graduate Texts in Mathematics, ISSN 0072-5285; 266) .
ISBN : 978-1-461-44537-1
Langues : Anglais (eng)
Catégories : 49J52
49J53
52A41
54C60
58C20Mots-clés : calcul différentiel calcul des variations analyse convexe théorie de la différenciation Note de contenu : index, références Réservation
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Code-barres Cote Support Localisation Section Disponibilité 22245 PEN/49/10501 a Livre Recherche Salle Disponible 22246 PEN/49/10501 b Livre Recherche Salle Disponible Functional analysis, calculus of variations and optimal control (Cop. 2013) / Francis CLARKE
Titre : Functional analysis, calculus of variations and optimal control Type de document : texte imprimé Auteurs : Francis CLARKE, Auteur Editeur : Londres : Springer-Verlag Année de publication : Cop. 2013 Collection : Graduate Texts in Mathematics num. 264 Importance : XIV-591 p. ISBN/ISSN/EAN : 978-1-447-14819-7 Langues : Anglais (eng) Catégories : 46-01
49-01
49J52
49K15
90C30Mots-clés : analyse fonctionnelle calcul des variations contrôle optimal Résumé : Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such as nonsmooth analysis. This self-contained textbook gives a complete course on all these topics. It is written by a leading specialist who is also a noted expositor.
This book provides a thorough introduction to functional analysis and includes many novel elements as well as the standard topics. A short course on nonsmooth analysis and geometry completes the first half of the book whilst the second half concerns the calculus of variations and optimal control. The author provides a comprehensive course on these subjects, from their inception through to the present. A notable feature is the inclusion of recent, unifying developments on regularity, multiplier rules, and the Pontryagin maximum principle, which appear here for the first time in a textbook. Other major themes include existence and Hamilton-Jacobi methods.Note de contenu : index, références Functional analysis, calculus of variations and optimal control [texte imprimé] / Francis CLARKE, Auteur . - Springer-Verlag, Cop. 2013 . - XIV-591 p.. - (Graduate Texts in Mathematics; 264) .
ISBN : 978-1-447-14819-7
Langues : Anglais (eng)
Catégories : 46-01
49-01
49J52
49K15
90C30Mots-clés : analyse fonctionnelle calcul des variations contrôle optimal Résumé : Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such as nonsmooth analysis. This self-contained textbook gives a complete course on all these topics. It is written by a leading specialist who is also a noted expositor.
This book provides a thorough introduction to functional analysis and includes many novel elements as well as the standard topics. A short course on nonsmooth analysis and geometry completes the first half of the book whilst the second half concerns the calculus of variations and optimal control. The author provides a comprehensive course on these subjects, from their inception through to the present. A notable feature is the inclusion of recent, unifying developments on regularity, multiplier rules, and the Pontryagin maximum principle, which appear here for the first time in a textbook. Other major themes include existence and Hamilton-Jacobi methods.Note de contenu : index, références Réservation
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Code-barres Cote Support Localisation Section Disponibilité 21864 CLA/49/10267 Livre Recherche Salle Sorti jusqu'au 10/03/2018 Nonsmooth analysis and control theory (Cop. 1998) / F. H. CLARKE
Titre : Nonsmooth analysis and control theory Type de document : texte imprimé Auteurs : F. H. CLARKE, Auteur ; Yu. S. LEDYAEV, Auteur ; Ronald J. STERN, Auteur Editeur : New York : Springer-Verlag Année de publication : Cop. 1998 Collection : Graduate Texts in Mathematics, ISSN 0072-5285 num. 178 Importance : XII-276 p. ISBN/ISSN/EAN : 978-0-387-98336-3 Langues : Anglais (eng) Catégories : 49J52
58C20
90C48Mots-clés : contrôle optimisation gradient espace de Banach espace de Hilbert Note de contenu : index, bibliogr. Nonsmooth analysis and control theory [texte imprimé] / F. H. CLARKE, Auteur ; Yu. S. LEDYAEV, Auteur ; Ronald J. STERN, Auteur . - Springer-Verlag, Cop. 1998 . - XII-276 p.. - (Graduate Texts in Mathematics, ISSN 0072-5285; 178) .
ISBN : 978-0-387-98336-3
Langues : Anglais (eng)
Catégories : 49J52
58C20
90C48Mots-clés : contrôle optimisation gradient espace de Banach espace de Hilbert Note de contenu : index, bibliogr. Réservation
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Code-barres Cote Support Localisation Section Disponibilité E887 CLA/CAE 795 Livre Enseignement Salle Disponible 19107 CLA/49/7655 Livre Recherche Salle Disponible
Titre : Variational analysis Type de document : texte imprimé Auteurs : R. Tyrrel ROCKAFELLAR, Auteur ; Roger J-B. WETS, Auteur Editeur : Berlin : Springer-Verlag Année de publication : cop. 2004 Collection : Grundlehren der mathematischen wissenschaften, ISSN 0072-7830 num. 317 Importance : XIII-734 p. ISBN/ISSN/EAN : 978-3-540-62772-2 Langues : Anglais (eng) Catégories : 47H05
49J40
49J45
49J52
49K40Mots-clés : analyse variationnelle Résumé : From its origins in the minimization of integral functionals, the notion of 'variations' has evolved greatly in connection with applications in optimization, equilibrium, and control. It refers not only to constrained movement away from a point, but also to modes of perturbation and approximation that are best describable by 'set convergence', variational convergence of functions' and the like. This book develops a unified framework and, in finite dimension, provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, maximal monotone mappings, second-order subderivatives, measurable selections and normal integrands. Note de contenu : index, références En ligne : http://www.springerlink.com/content/978-3-642-02431-3#section=110746&page=1&locu [...] Variational analysis [texte imprimé] / R. Tyrrel ROCKAFELLAR, Auteur ; Roger J-B. WETS, Auteur . - Springer-Verlag, cop. 2004 . - XIII-734 p.. - (Grundlehren der mathematischen wissenschaften, ISSN 0072-7830; 317) .
ISBN : 978-3-540-62772-2
Langues : Anglais (eng)
Catégories : 47H05
49J40
49J45
49J52
49K40Mots-clés : analyse variationnelle Résumé : From its origins in the minimization of integral functionals, the notion of 'variations' has evolved greatly in connection with applications in optimization, equilibrium, and control. It refers not only to constrained movement away from a point, but also to modes of perturbation and approximation that are best describable by 'set convergence', variational convergence of functions' and the like. This book develops a unified framework and, in finite dimension, provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, maximal monotone mappings, second-order subderivatives, measurable selections and normal integrands. Note de contenu : index, références En ligne : http://www.springerlink.com/content/978-3-642-02431-3#section=110746&page=1&locu [...] Réservation
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Code-barres Cote Support Localisation Section Disponibilité 19953 ROC/49/8163 Livre Recherche Salle Disponible
Titre : Variational analysis : with figure drawn by Maria Wets Type de document : texte imprimé Auteurs : R. Tyrrel ROCKAFELLAR, Auteur ; Roger J-B. WETS, Auteur Editeur : Berlin : Springer-Verlag Année de publication : Cop. 2009 Collection : Grundlehren der mathematischen wissenschaften, ISSN 0072-7830 num. 317 Importance : XIII-734 p. ISBN/ISSN/EAN : 978-3-540-62772-2 Note générale : Corrected 3rd printing Langues : Anglais (eng) Catégories : 47H05
49J40
49J45
49J52
49K40Mots-clés : analyse variationnelle Résumé : From its origins in the minimization of integral functionals, the notion of 'variations' has evolved greatly in connection with applications in optimization, equilibrium, and control. It refers not only to constrained movement away from a point, but also to modes of perturbation and approximation that are best describable by 'set convergence', variational convergence of functions' and the like. This book develops a unified framework and, in finite dimension, provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, maximal monotone mappings, second-order subderivatives, measurable selections and normal integrands. Note de contenu : index, références En ligne : http://www.springerlink.com/content/978-3-642-02431-3#section=110746&page=1&locu [...] Variational analysis : with figure drawn by Maria Wets [texte imprimé] / R. Tyrrel ROCKAFELLAR, Auteur ; Roger J-B. WETS, Auteur . - Springer-Verlag, Cop. 2009 . - XIII-734 p.. - (Grundlehren der mathematischen wissenschaften, ISSN 0072-7830; 317) .
ISBN : 978-3-540-62772-2
Corrected 3rd printing
Langues : Anglais (eng)
Catégories : 47H05
49J40
49J45
49J52
49K40Mots-clés : analyse variationnelle Résumé : From its origins in the minimization of integral functionals, the notion of 'variations' has evolved greatly in connection with applications in optimization, equilibrium, and control. It refers not only to constrained movement away from a point, but also to modes of perturbation and approximation that are best describable by 'set convergence', variational convergence of functions' and the like. This book develops a unified framework and, in finite dimension, provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, maximal monotone mappings, second-order subderivatives, measurable selections and normal integrands. Note de contenu : index, références En ligne : http://www.springerlink.com/content/978-3-642-02431-3#section=110746&page=1&locu [...] Réservation
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Code-barres Cote Support Localisation Section Disponibilité 21692 ROC/49/10102 Livre Recherche Salle Disponible