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Komkov, Vadim Variational principles of continuum mechanics with engineering applications. Critical points theory. Mathematics and its Applications, Reidel Publishing Co.see url
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Komkov, Vadim Optimal control theory for the damping of vibrations of simple elastic systems. Then one day, that they can't see the problem. Brown 'The point of a Pin'. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics.
Variational principles of continuum mechanics with engineering applications - CERN Document Server
However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used non trivially in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces.
And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics. Geometric aspects of industrial design Book 7 editions published in in English and held by 77 WorldCat member libraries worldwide.
Proceedings of a seminar on applications of differential equations to mechanics and physics by Vadim Komkov Book 5 editions published between and in English and held by 36 WorldCat member libraries worldwide. Variational principles of continuum mechanics with engineering applications by Vadim Komkov Book 5 editions published between and in English and held by 23 WorldCat member libraries worldwide.
The critical points theory and the variational principles in continuous mechanics of solids by Vadim Komkov Book 1 edition published in in English and held by 10 WorldCat member libraries worldwide.
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Some of the results are new and some have appeared only in specialized Soviet journals, or as pro ceedings of conferences, and are not easily accessible to Western engineers and mathematicians. Some aspects of the theory presented here, such as optimiza tion of anisotropic properties of elastic structural elements, have not been con sidered to any extent by Western research engineers. The author's treatment is "classical", i.
Classical calculus of variations, the complex variables approach, and the Kolosov Muskhelishvili theory are the basic techniques used. He derives many results that are of interest to practical structural engineers, such as optimum designs of structural elements submerged in a flowing fluid which is of obvious interest in aircraft design, in ship building, in designing turbines, etc.
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