03880nam a22005775i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050000900153050001900162072001700181072002300198072002300221082001200244100003300256245009500289264006300384300003400447336002600481337002600507338003600533347002400569490003300593505035500626520170800981650001702689650002702706650002802733650002502761650002902786650001702815650001902832650002502851650001402876650001802890650001702908650002902925650003702954650001402991650003303005650005603038700003703094710003403131773002003165776003603185830003303221856004803254978-0-8176-4848-0DE-He21320180115171441.0cr nn 008mamaa100301s2009 xxu| s |||| 0|eng d a97808176484807 a10.1007/978-0-8176-4848-02doi 4aQ295 4aQA402.3-402.37 7aGPFC2bicssc 7aSCI0640002bisacsh 7aTEC0040002bisacsh04a5192231 aAubin, Jean-Pierre.eauthor.10aSet-Valued Analysish[electronic resource] /cby Jean-Pierre Aubin, Hélène Frankowska. 1aBoston :bBirkhäuser Boston :bImprint: Springer,c2009. aXXI, 461 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aModern Birkhäuser Classics0 aContinuity of Set-Valued Maps -- Closed Convex Processes -- Existence and Stability of an Equilibrium -- Tangent Cones -- Derivatives of Set-Valued Map -- Epiderivatives of Extended Function -- Graphical #x0026; Epigraphical Convergence -- Measurability and Integration of Set-Valued Maps -- Selections and Parametrization -- Differential Inclusions. a"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. It includes…results with many historical comments giving the reader a sound perspective to look at the subject…The book is highly recommended for mathematicians and graduate students who will find here a very comprehensive treatment of set-valued analysis." —Mathematical Reviews "I recommend this book as one to dig into with considerable pleasure when one already knows the subject...'Set-Valued Analysis’ goes a long way toward providing a much needed basic resource on the subject." —Bulletin 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 maps…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. 0aMathematics. 0aMathematical analysis. 0aAnalysis (Mathematics). 0aApplied mathematics. 0aEngineering mathematics. 0aGame theory. 0aSystem theory. 0aControl engineering. 0aRobotics. 0aMechatronics.14aMathematics.24aSystems Theory, Control.24aControl, Robotics, Mechatronics.24aAnalysis.24aApplications of Mathematics.24aGame Theory, Economics, Social and Behav. Sciences.1 aFrankowska, Hélène.eauthor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780817648473 0aModern Birkhäuser Classics40uhttp://dx.doi.org/10.1007/978-0-8176-4848-0