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Set-Valued Analysis
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Catalogue Information
Field name
Details
Dewey Class
515.2 (DDC 23)
Title
Set-Valued Analysis ([Ebook]) / by Jean-Pierre Aubin, Hélène Frankowska
Author
Aubin, Jean-Pierre
Added Personal Name
Frankowska, Hélène
Other name(s)
SpringerLink (Online service)
Edition statement
Reprint of the 1990 Edition
Publication
Boston : Birkhäuser
, 2009.
Physical Details
XXII, 462 pages : online resource.
Series
Modern Birkhäuser classics
ISBN
9780817648480
Summary Note
"An elegantly written, introductory overview of the field, with a near perfect choice of what to include and what not, enlivened in places by historical tidbits and made eminently readable throughout by crisp language. It has succeeded in doing the near-impossibleâit has made a subject which is generally inhospitable to nonspecialists because of its âfamily jargonâ appear nonintimidating even to a beginning graduate student." âThe Journal of the Indian Institute of Science "The book under review gives a comprehensive treatment of basically everything in mathematics that can be named multivalued/set-valued analysis. It includesâ¦results with many historical comments giving the reader a sound perspective to look at the subjectâ¦The book is highly recommended for mathematicians and graduate students who will find here a very comprehensive treatment of set-valued analysis." âMathematical Reviews "I recommend this book as one to dig into with considerable pleasure when one already knows the subject...'Set-Valued Analysisâ goes a long way toward providing a much needed basic resource on the subject." âBulletin of the American Mathematical Society "This book provides a thorough introduction to multivalued or set-valued analysis...Examples in many branches of mathematics, given in the introduction, prevail [upon] the reader the indispensability [of dealing] with sequences of sets and set-valued mapsâ¦The style is lively and vigorous, the relevant historical comments and suggestive overviews increase the interest for this work...Graduate students and mathematicians of every persuasion will welcome this unparalleled guide to set-valued analysis." âZentralblatt Math:
Contents note
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.
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Access is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-0-8176-4848-0
Links to Related Works
Subject References:
Analysis
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Applications of Mathematics
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Control engineering systems
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Control, Robotics, Mechatronics
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Game Theory, Economics, Social and Behav. Sciences
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Global analysis (Mathematics)
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Systems theory
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Systems Theory, Control
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Authors:
Aubin, Jean-Pierre
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author
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Frankowska, Hélène
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Corporate Authors:
SpringerLink (Online service)
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Series:
Modern Birkhäuser classics
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Classification:
515.2 (DDC 23)
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