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＜電子ブック＞
Ordinary Differential Equations with Applications to Mechanics / by Mircea Soare, Petre P. Teodorescu, Ileana Toma
(Mathematics and Its Applications ; 585)

版	1st ed. 2007.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	2007
本文言語	英語
大きさ	X, 488 p : online resource
著者標目	*Soare, Mircea author Teodorescu, Petre P author Toma, Ileana author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Mathematics LCSH:Mechanics LCSH:Engineering mathematics LCSH:Engineering -- Data processing  全ての件名で検索 LCSH:Differential equations FREE:Analysis FREE:Applications of Mathematics FREE:Classical Mechanics FREE:Mathematical and Computational Engineering Applications FREE:Differential Equations
一般注記	Linear ODEs of First and Second Order -- Linear ODEs Of Higher Order (n > 2) -- Linear ODSs of First Order -- Non-Linear ODEs Of First and Second Order -- Non-Linear ODSs of First Order -- Variational Calculus -- Stability The present book has its source in the authors’ wish to create a bridge between the mathematical and the technical disciplines, which need a good knowledge of a strong mathematical tool. The necessity of such an interdisciplinary work drove the authors to publish a first book to this aim with Editura Tehnica, Bucharest, Romania. The present book is a new, English edition of the volume published in 1999. It contains many improvements concerning the theoretical (mathematical) information, as well as new topics, using enlarged and updated references. Only ordinary differential equations and their solutions in an analytical frame were considered, leaving aside their numerical approach. The problem is firstly stated in its mechanical frame. Then the mathematical model is set up, emphasizing on the one hand the physical magnitude playing the part of the unknown function and on the other hand the laws of mechanics that lead to an ordinary differential equation or system. The solution is then obtained by specifying the mathematical methods described in the corresponding theoretical presentation. Finally a mechanical interpretation of the solution is provided, this giving rise to a complete knowledge of the studied phenomenon. The number of applications was increased, and many of these problems appear currently in engineering. Audience Mechanical and civil engineers, physicists, applied mathematicians, astronomers and students. The prerequisites are courses of elementary analysis and algebra, as given at a technical university. On a larger scale, all those interested in using mathematical models and methods in various fields, like mechanics, civil and mechanical engineering, and people involved in teaching or design will find this work indispensable HTTP:URL=https://doi.org/10.1007/1-4020-5440-8

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