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Titlebook: Lectures on Mathematical Theory of Extremum Problems; Igor Vladimirovich Girsanov,B. T. Poljak Book 1972 Springer-Verlag Berlin · Heidelbe

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书目名称Lectures on Mathematical Theory of Extremum Problems
编辑Igor Vladimirovich Girsanov,B. T. Poljak
视频videohttp://file.papertrans.cn/584/583541/583541.mp4
丛书名称Lecture Notes in Economics and Mathematical Systems
图书封面Titlebook: Lectures on Mathematical Theory of Extremum Problems;  Igor Vladimirovich Girsanov,B. T. Poljak Book 1972 Springer-Verlag Berlin · Heidelbe
描述The author of this book, Igor‘ Vladimirovich Girsanov, was one of the first mathematicians to study general extremum problems and to realize the feasibility and desirability of a unified theory of extremal problems, based on a functional­ analytic approach. He actively advocated this view, and his special course, given at the Faculty of Mechanics and Mathematics of the Moscow State University in 1963 and 1964, was apparently the first systematic exposition of a unified approach to the theory of extremal problems. This approach was based on the ideas of Dubovitskii and Milyutin [1]. The general theory of extremal problems has developed so intensely during the past few years that its basic concepts may now be considered finalized. Nevertheless, as yet the basic results of this new field of mathematics have not been presented in a form accessible to a wide range of readers. (The profound paper of Dubovitskii and Milyutin [2] can hardly be recommended for a first study of the theory, since, in particular, it does not contain proofs of the fundamental theorems. ) Girsanov‘s book fills this gap. It contains a systematic exposition of the general principles underlying the derivation of ne
出版日期Book 1972
关键词Calculation; Extremum; Lie; Topology; equation; extrema; functional analysis; maximum; minimum; theorem
版次1
doihttps://doi.org/10.1007/978-3-642-80684-1
isbn_softcover978-3-540-05857-1
isbn_ebook978-3-642-80684-1Series ISSN 0075-8442 Series E-ISSN 2196-9957
issn_series 0075-8442
copyrightSpringer-Verlag Berlin · Heidelberg 1972
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Sufficient Extremum Conditions,assumptions, the necessary extremum conditions are also sufficient, in an important class of extremal problems — convex problems. Sufficient conditions for non-convex problems can probably be formulated in terms of the second variation. However, results in this field are as yet quite sporadic, and we shall not dwell on them here.
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