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ISBN: 9789048151110

ID: 978904815111

This book is dedicated to the theory of continuous selections of multi valued mappings, a classical area of mathematics (as far as the formulation of its fundamental problems and methods of solutions are concerned) as well as !''J-n area which has been intensively developing in recent decades and has found various applications in general topology, theory of absolute retracts and infinite-dimensional manifolds, geometric topology, fixed-point theory, functional and convex analysis, game theory, mathematical economics, and other branches of modern mathematics. The fundamental results in this the ory were laid down in the mid 1950''s by E. Michael. The book consists of (relatively independent) three parts - Part A: Theory, Part B: Results, and Part C: Applications. (We shall refer to these parts simply by their names). The target audience for the first part are students of mathematics (in their senior year or in their first year of graduate school) who wish to get familiar with the foundations of this theory. The goal of the second part is to give a comprehensive survey of the existing results on continuous selections of multivalued mappings. It is intended for specialists in this area as well as for those who have mastered the material of the first part of the book. In the third part we present important examples of applications of continuous selections. We have chosen examples which are sufficiently interesting and have played in some sense key role in the corresponding areas of mathematics. D. Repovs, P.V. Semenov, Books, Continuous Selections of Multivalued Mappings Books, Springer-Verlag/Sci-Tech/Trade

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2010, ISBN: 9789048151110

[ED: Softcover], [PU: Springer Netherlands], This book is dedicated to the theory of continuous selections of multi valued mappings, a classical area of mathematics (as far as the formulation of its fundamental problems and methods of solutions are concerned) as well as !'J-n area which has been intensively developing in recent decades and has found various applications in general topology, theory of absolute retracts and infinite-dimensional manifolds, geometric topology, fixed-point theory, functional and convex analysis, game theory, mathematical economics, and other branches of modern mathematics. The fundamental results in this the ory were laid down in the mid 1950's by E. Michael. The book consists of (relatively independent) three parts - Part A: Theory, Part B: Results, and Part C: Applications. (We shall refer to these parts simply by their names). The target audience for the first part are students of mathematics (in their senior year or in their first year of graduate school) who wish to get familiar with the foundations of this theory. The goal of the second part is to give a comprehensive survey of the existing results on continuous selections of multivalued mappings. It is intended for specialists in this area as well as for those who have mastered the material of the first part of the book. In the third part we present important examples of applications of continuous selections. We have chosen examples which are sufficiently interesting and have played in some sense key role in the corresponding areas of mathematics. 2010. viii, 359 S. VIII, 359 p. 235 mm Versandfertig in 6-10 Tagen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, offene Rechnung (Vorkasse vorbehalten)

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ISBN: 9789048151110

ID: 9789048151110

This book is dedicated to the theory of continuous selections of multi valued mappings, a classical area of mathematics (as far as the formulation of its fundamental problems and methods of solutions are concerned) as well as !'J-n area which has been intensively developing in recent decades and has found various applications in general topology, theory of absolute retracts and infinite-dimensional manifolds, geometric topology, fixed-point theory, functional and convex analysis, game theory, mathematical economics, and other branches of modern mathematics. The fundamental results in this the ory were laid down in the mid 1950's by E. Michael. The book consists of (relatively independent) three parts - Part A: Theory, Part B: Results, and Part C: Applications. (We shall refer to these parts simply by their names). The target audience for the first part are students of mathematics (in their senior year or in their first year of graduate school) who wish to get familiar with the foundations of this theory. The goal of the second part is to give a comprehensive survey of the existing results on continuous selections of multivalued mappings. It is intended for specialists in this area as well as for those who have mastered the material of the first part of the book. In the third part we present important examples of applications of continuous selections. We have chosen examples which are sufficiently interesting and have played in some sense key role in the corresponding areas of mathematics. Books > Mathematics Soft cover, Springer Shop

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ISBN: 9789048151110

ID: 10986835

This book is the first systematic and comprehensive study of the theory of continuous selections of multivalued mappings. This interesting branch of modern topology was introduced by E.A. Michael in the 1950s and has since witnessed an intensive development with various applications outside topology, e.g. in geometry of Banach spaces, manifolds theory, convex sets, fixed points theory, differential inclusions, optimal control, approximation theory, and mathematical economics. The work can be used in different ways: the first part is an exposition of the basic theory, with details. The second part is a comprehensive survey of the main results. Lastly, the third part collects various kinds of applications of the theory. Audience: This volume will be of interest to graduate students and research mathematicians whose work involves general topology, convex sets and related geometric topics, functional analysis, global analysis, analysis on manifolds, manifolds and cell complexes, and mathematical economics. Continuous Selections of Multivalued Mappings Repovs, D. / Semenov, P. V., Springer

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ISBN: 9789048151110

ID: 9789048151110

Mathematics; Topology; Convex and Discrete Geometry; Functional Analysis; Global Analysis and Analysis on Manifolds; Manifolds and Cell Complexes (incl. Diff.Topology) Dimension, Grad, Homeomorphism, functional analysis, manifold, topology Books, Springer Nature

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** Gedetalleerde informatie over het boek. - Continuous Selections of Multivalued Mappings (Mathematics and Its Applications (closed))**

EAN (ISBN-13): 9789048151110

ISBN (ISBN-10): 9048151112

Gebonden uitgave

pocket book

Verschijningsjaar: 2010

Uitgever: Springer-Verlag GmbH

368 Bladzijden

Gewicht: 0,556 kg

Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2011-05-25T20:19:52+02:00 (Amsterdam)

Detailpagina laatst gewijzigd op 2019-05-25T16:49:06+02:00 (Amsterdam)

ISBN/EAN: 9789048151110

ISBN - alternatieve schrijfwijzen:

90-481-5111-2, 978-90-481-5111-0

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