Set-valued analysis
著者
書誌事項
Set-valued analysis
（Modern Birkhäuser classics）
Birkhäuser, c2009
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注記
"Reprint of the 1990 edition"
"Originally published in the series Systems & Control: Foundations & Applications"--T.p. verso
Includes bibliographical references (p. 421-455) and index
内容説明・目次
内容説明
"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-impossible-it has made a subject which is generally inhospitable to nonspecialists because of its 'family jargon' appear nonintimidating even to a beginning graduate student."
-The 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. ...The book is highly recommended for mathematicians and graduate students who will find here a very comprehensive treatment of set-valued analysis."
-Mathematical Reviews
"This book provides a thorough introduction to multivalued or set-valued analysis... 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."
-Zentralblatt Math
目次
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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