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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... cultivation of science and the growth of its potential would somehow guarantee the maintenance of the nation" wrote Kura- towski about the situation of Poland before 1918. I will share all [my results] with you whenever you.
Jean-Pierre Aubin, Hélène Frankowska. I will share all [my results] with you whenever you wish and do so without any ambition, from which I am more exempt and more distant than any man in the world. Pierre de Fermat" Fermat was one of ...
... results of the chapters of "single- valued" analysis can be adapted to the set-valued realm. These include: • Limits and Continuity • Linear Functional Analysis • Nonlinear Functional Analysis (existence and approximation of solutions ...
Jean-Pierre Aubin, Hélène Frankowska. by our experience in applying these results in control and viability theory. However, we tried very hard to make this presentation as clear as possible, to help the reader become familiar with the ...
... results presented in the pages that follow. Examples of Set- Valued Maps 1. First, we encounter set-valued maps each time we face ill-posed problems or inverse problems, i.e., problems for which either the existence of a solution or its ...