Set-Valued Analysis (eBook)
XXI, 461 Seiten
Birkhäuser Boston (Verlag)
978-0-8176-4848-0 (ISBN)
'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
"e;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."e; (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) 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)
Introduction 20
Continuity of Set-Valued Maps 34
Closed Convex Processes 73
Existence and Stability of an Equilibrium 95
Tangent Cones 135
Derivatives of Set-Valued Maps 196
Epiderivatives of Extended Functions 235
Graphical & Epigraphical Convergence
Measurability and Integration of Set-Valued Maps 319
Selecrtions and Parametrization 368
Differential Inclusions 398
Erscheint lt. Verlag | 2.3.2009 |
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Reihe/Serie | Modern Birkhäuser Classics | Modern Birkhäuser Classics |
Zusatzinfo | XXI, 461 p. |
Verlagsort | Boston |
Sprache | englisch |
Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
Mathematik / Informatik ► Mathematik ► Analysis | |
Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
Naturwissenschaften | |
Technik ► Elektrotechnik / Energietechnik | |
Schlagworte | Calculus • closed convex processes • Derivative • epiderivatives • Function • Mathematics • set-valued analysis • Set-valued maps • stability • tangent cones • Viability theorem |
ISBN-10 | 0-8176-4848-8 / 0817648488 |
ISBN-13 | 978-0-8176-4848-0 / 9780817648480 |
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