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Titlebook: Mathematical Structures of Nonlinear Science; An Introduction Melvyn S. Berger Book 1990 Kluwer Academic Publishers 1990 bifurcation.calcul

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書目名稱Mathematical Structures of Nonlinear Science
副標(biāo)題An Introduction
編輯Melvyn S. Berger
視頻videohttp://file.papertrans.cn/627/626609/626609.mp4
叢書名稱Nonlinear Topics in the Mathematical Sciences
圖書封面Titlebook: Mathematical Structures of Nonlinear Science; An Introduction Melvyn S. Berger Book 1990 Kluwer Academic Publishers 1990 bifurcation.calcul
描述This is the first volume of a series of books that will describe current advances and past accompli shments of mathemat i ca 1 aspects of nonlinear sCience taken in the broadest contexts. This subject has been studied for hundreds of years, yet it is the topic in whi ch a number of outstandi ng di scoveri es have been made in the past two decades. Clearly, this trend will continue. In fact, we believe some of the great scientific problems in this area will be clarified and perhaps resolved. One of the reasons for this development is the emerging new mathematical ideas of nonlinear science. It is clear that by looking at the mathematical structures themselves that underlie experiment and observation that new vistas of conceptual thinking lie at the foundation of the unexplored area in this field. To speak of specific examples, one notes that the whole area of bifurcation was rarely talked about in the early parts of this century, even though it was discussed mathematically by Poi ncare at the end of the ni neteenth century. I n another di rect ion, turbulence has been a key observation in fluid dynamics, yet it was only recently, in the past decade, that simple computer studies brou
出版日期Book 1990
關(guān)鍵詞bifurcation; calculus; calculus of variations; differential equation; dynamical systems; integrable syste
版次1
doihttps://doi.org/10.1007/978-94-009-0579-5
isbn_softcover978-94-010-6748-5
isbn_ebook978-94-009-0579-5Series ISSN 0925-6660
issn_series 0925-6660
copyrightKluwer Academic Publishers 1990
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Some Connections between Global Differential Geometry and Nonlinear Analysis,y nonlinear effect inherent in geometry is the notion of curvature in all its ramifications. This notion is a fundamental source of deep problems involving global problems of geometry and fundamental aspects of nonlinear analysis.
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Vortices in Ideal Fluids,This means, in usual discussions, assuming the velocity is zero at infinity, that the vorticity can be distinguished from the irrotational part of the fluid by a rotational movement. In symbols we have
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Nonlinear Topics in the Mathematical Scienceshttp://image.papertrans.cn/m/image/626609.jpg
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978-94-010-6748-5Kluwer Academic Publishers 1990
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