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Titlebook: Variational Principles of Continuum Mechanics with Engineering Applications; Volume 1: Critical P Vadim Komkov Book 1986 D. Reidel Publishi

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书目名称Variational Principles of Continuum Mechanics with Engineering Applications
副标题Volume 1: Critical P
编辑Vadim Komkov
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Variational Principles of Continuum Mechanics with Engineering Applications; Volume 1: Critical P Vadim Komkov Book 1986 D. Reidel Publishi
描述Approach your problems from the right end It isn‘t that they can‘t see the solution. It is and begin with the answers. Then one day, that they can‘t see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father ‘The Hermit Clad in Crane Feathers‘ in R. Brown ‘The point of a Pin‘. van Gulik‘s The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. 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
出版日期Book 1986
关键词calculus of variations; computational fluid dynamics; continuum mechanics; elasticity; filtering; integra
版次1
doihttps://doi.org/10.1007/978-94-009-4564-7
isbn_softcover978-94-010-8529-8
isbn_ebook978-94-009-4564-7
copyrightD. Reidel Publishing Company, Dordrecht, Holland 1986
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The Legendre Transformation, Duality and Functional Analytic Approach,periment is an example of a brilliant unification attempt. Basically, E. Mach suggested that the mass of the entire universe affects the local laws of mechanics so far discovered by man-kind. (We refer to his famous statement about the distance stars causing it all.)
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,An Example of a Variational Approach to Mechanics Using “Different” Rules of Algebra,angian formulation “works”, the Hamilton’s canonical equations are displayed, everything seems to be in the right form. Upon a closer examination only one variational principle can be formulated at best. Even if the signs of the second FrSchet derivatives can be determined in the vicinity of a criti
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Variational Principles of Continuum Mechanics,y, where we have to keep careful count of which elements belong to the space B and which belong to its dual B*, or even to B**. In the Hilbert space setting we can identify H with its dual H*, and all arguments are generally simplified.
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