Set-Valued Analysis"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 |
From inside the book
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... theory of probability. His achievements in number theory overshadowed his other contributions, and the Last Fermat Theorem remains a challenge. He was on top of that a poet, a linguist, ... and made his living as a lawyer! °in his ...
... theory and differential games, mathematical economics and game theory, biomathematics, qualitative physics and viability theory — led us to devote time and effort to share some basic material which is used over and over. One can no ...
... theory, economics and management, biology and systems sciences, artificial intelligence, etc. — was pressing enough to help mathematicians overcome the kind of recalcitrance felt towards set-valued analysis. In view of such a wide ...
... theory and viability theory in particular) are presented in companion texts2. Jean-Pierre Aubin Helene Frankowska Paris September 21, 1989 2Viability Theory [50] by Aubin, and the forthcoming books Set- Valued Analysis and Control Theory ...
... theory, since the early contributions of Wazewski and Filippov in the beginning of the sixties. Such set- valued maps, called parametrized maps, are associated with a family of maps x i— > f(x, u) from X to Y when u ranges over a set U ...