The present book is the outcome of efforts to introduce topological connectedness as one of the basic tools for the study of necessary conditions for an extremum.Apparently this monograph… Meer...
The present book is the outcome of efforts to introduce topological connectedness as one of the basic tools for the study of necessary conditions for an extremum.Apparently this monograph is the first book in the theory of maxima and minima where topological connectedness is used so widely for this purpose.Its application permits us to obtain new results in this sphere and to consider the classical results from a nonstandard point of view.Regarding the style of the present book it should be remarked that it is comparatively elementary.The author has made constant efforts to make the book as self-contained as possible.Certainly, familiarity with the basic facts of topology, functional analysis, and the theory of optimization is assumed.The book is written for applied mathematicians and graduate students interested in the theory of optimization and its applications.We present the synthesis of the well known Dybovitskii'-Milyutin ap- proach for the study of necessary conditions for an extremum, based on functional analysis, and topological methods.This synthesis allows us to show that in some cases we have the following important result: if the Euler equation has no non trivial solution at a point of an extremum, then some inclusion is valid for the functionals belonging to the dual space.This general result is obtained for an optimization problem considered in a lin- ear topological space.We also show an application of our result to some problems of nonlinear programming and optimal control.; PDF; Scientific, Technical and Medical > Mathematics > Calculus & mathematical analysis > Functional anal, Springer Netherlands<
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Connectedness and Necessary Conditions for an Extremum ab 106.99 € als pdf eBook: . Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik, Medien > Bücher nein eBook als pdf, Springer Netherlands<
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The present book is the outcome of efforts to introduce topological connectedness as one of the basic tools for the study of necessary conditions for an extremum.Apparently this monograph… Meer...
The present book is the outcome of efforts to introduce topological connectedness as one of the basic tools for the study of necessary conditions for an extremum.Apparently this monograph is the first book in the theory of maxima and minima where topological connectedness is used so widely for this purpose.Its application permits us to obtain new results in this sphere and to consider the classical results from a nonstandard point of view.Regarding the style of the present book it should be remarked that it is comparatively elementary.The author has made constant efforts to make the book as self-contained as possible.Certainly, familiarity with the basic facts of topology, functional analysis, and the theory of optimization is assumed.The book is written for applied mathematicians and graduate students interested in the theory of optimization and its applications.We present the synthesis of the well known Dybovitskii'-Milyutin ap- proach for the study of necessary conditions for an extremum, based on functional analysis, and topological methods.This synthesis allows us to show that in some cases we have the following important result: if the Euler equation has no non trivial solution at a point of an extremum, then some inclusion is valid for the functionals belonging to the dual space.This general result is obtained for an optimization problem considered in a lin- ear topological space.We also show an application of our result to some problems of nonlinear programming and optimal control.; PDF; Scientific, Technical and Medical > Mathematics > Calculus & mathematical analysis > Functional anal, Springer Netherlands<
No. 9789401591195. Verzendingskosten:Instock, Despatched same working day before 3pm, zzgl. Versandkosten., exclusief verzendingskosten
Connectedness and Necessary Conditions for an Extremum ab 106.99 € als pdf eBook: . Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik, Medien > Bücher nein eBook als pdf, Spr… Meer...
Connectedness and Necessary Conditions for an Extremum ab 106.99 € als pdf eBook: . Aus dem Bereich: eBooks, Fachthemen & Wissenschaft, Mathematik, Medien > Bücher nein eBook als pdf, Springer Netherlands<
Verzendingskosten:In stock (Download), , Versandkostenfrei nach Hause oder Express-Lieferung in Ihre Buchhandlung., DE. (EUR 0.00)
Connectedness and Necessary Conditions for an Extremum: ab 106.99 € eBooks > Fachthemen & Wissenschaft > Mathematik Springer Netherlands eBook als pdf, Springer Netherlands
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Bibliografische gegevens van het best passende boek
Boek bevindt zich in het datenbestand sinds 2016-01-31T22:46:32+01:00 (Amsterdam) Detailpagina laatst gewijzigd op 2022-10-25T17:23:47+02:00 (Amsterdam) ISBN/EAN: 9789401591195
ISBN - alternatieve schrijfwijzen: 978-94-015-9119-5 alternatieve schrijfwijzen en verwante zoekwoorden: Auteur van het boek: abramov alexey Titel van het boek: connectedness
Gegevens van de uitgever
Auteur: Alexey Abramov Titel: Mathematics and Its Applications; Connectedness and Necessary Conditions for an Extremum Uitgeverij: Springer; Springer Netherland 204 Bladzijden Verschijningsjaar: 2013-03-09 Dordrecht; NL Taal: Engels 96,29 € (DE) 99,00 € (AT) 118,00 CHF (CH) Available XII, 204 p.
EA; E107; eBook; Nonbooks, PBS / Mathematik/Sonstiges; Optimierung; Verstehen; Euler–Lagrange equation; Optimal control; functional analysis; linear optimization; nonlinear optimization; optimization; C; Optimization; Calculus of Variations and Optimization; Quantitative Economics; Convex and Discrete Geometry; Topology; Mathematics and Statistics; Wirtschaftstheorie und -philosophie; Geometrie; Diskrete Mathematik; Topologie; BC
0. Preliminaries.- 1. Alternative conditions for an extremum of the first order.- 2. Alternative conditions for an extremum in nonlinear programming.- 3. Alternative conditions for an extremum in optimal control problems.- 4. Necessary conditions for an extremum in a measure space.- List of notation.
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