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Genre/Form: | Electronic books |
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Additional Physical Format: | Print version: Aubin, Jean Pierre. Set-valued analysis. Boston : Birkhäuser, ©2009 (DLC) 2008939076 (OCoLC)302188937 |
Material Type: | Document, Internet resource |
Document Type: | Internet Resource, Computer File |
All Authors / Contributors: |
Jean Pierre Aubin; Hélène Frankowska |
ISBN: | 9780817648480 0817648488 9780817648473 081764847X |
OCLC Number: | 318545424 |
Notes: | Reprint of the 1990 edition, originally published in the series Systems & control: Foundations & applications. |
Description: | 1 online resource (xix, 461 pages) : illustrations |
Contents: | Introduction -- Continuity of Set-Valued Maps -- Closed Convex Processes -- Existence and Stability of an Equilibrium -- Tangent Cones -- Derivatives of Set-Valued Maps -- Epiderivatives of Extended Functions -- Graphical & Epigraphical Convergence -- Measurability and Integration of Set-Valued Maps -- Selections and Parametrization -- Differential Inclusions -- Bibliographical Comments -- Bibliography -- Index. |
Series Title: | Modern Birkhäuser classics. |
Responsibility: | Jean-Pierre Aubin, Hélène Frankowska. |
Abstract:
Reviews
Publisher Synopsis
From the reviews:"An elegantly written, introductory overview of the field, with a near-perfect choice of what to include and what not, enlivened by historical tidbits and made eminently readable throughout by a crisp language. It has succeeded in doing the near-impossible-it has made a subject which is generally inhospitable to nonspecialists because of its 'family jargon' appear non-intimidating even to a beginning graduate student." -Journal of the Indian Institute of Science "Highly recommended for mathematicians and graduate students who will find here a very comprehensive treatment of set-valued analysis." -Mathematical Reviews"A valuable resource for workers in many fields...contains a lot of information and many interesting asides....goes a long way toward providing a much needed basic resource on the subject." -Bulletin of the AMS"Provides a thorough introduction to the multivalued or set-valued analysis, gathering both old and new results in an up-to-date perspective. ...Graduate students and mathematicians of every persuasion will welcome this unparallel guide to set-valued analysis." -Zentralblatt Math"The book gives an in-depth introduction and overview of the field. ... the book is a basic resource for graduate students and researchers who are interested in the mathematics required to apply set-valued analysis in their work." (IEEE Control Systems Magazine, Vol. 30, April, 2010) Read more...

