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Titlebook: Jacobi‘s Lectures on Dynamics; Delivered at the Uni A. Clebsch Book 2009Latest edition Hindustan Book Agency (India) 2009

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發(fā)表于 2025-3-21 19:40:43 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Jacobi‘s Lectures on Dynamics
副標(biāo)題Delivered at the Uni
編輯A. Clebsch
視頻videohttp://file.papertrans.cn/501/500130/500130.mp4
叢書名稱Texts and Readings in Mathematics
圖書封面Titlebook: Jacobi‘s Lectures on Dynamics; Delivered at the Uni A. Clebsch Book 2009Latest edition Hindustan Book Agency (India) 2009
描述The name of C. G. J. Jacobi is familiar to every student of mathematics, thanks to the Jacobion determinant, the Hamilton-Jacobi equations in dynamics, and the Jacobi identity for vector fields. Best known for his contributions to the theory of elliptic and abelian functions, Jacobi is also known for his innovative teaching methods and for running the first research seminar in pure mathematics. A record of his lectures on Dynamics given in 1842-43 at Konigsberg, edited by A. Clebsch, has been available in the original German. This is an English translation. It is not just a historical document; the modern reader can learn much about the subject directly from one of its great masters.
出版日期Book 2009Latest edition
版次2
doihttps://doi.org/10.1007/978-93-86279-62-0
isbn_ebook978-93-86279-62-0
copyrightHindustan Book Agency (India) 2009
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,’s Integral and ,’s Second Form of Dynamical Equations,ar as here . can depend on . explicitly, which was excluded in the earlier principle. There the time had to be eliminated through the principle of ., which holds only when . does not contain . explicitly.
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,Hamilton’s Form of the Equations of Motion,(8.10) of Lecture 8, i.e., in the equation.,where . contains only ., while . is, besides, a function of the quantities .′, indeed, a homogeneous function of the second degree of these quantities. If we set .′. = ., then . is a homogeneous function of second degree in the quantities .. Hence the abov
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Examples of the Search for Multipliers. Attraction of a Point by a Fixed Centre in a Resisting Medie right sides of the differential equations, with the same sign as those the terms based on the attraction have. The equations of motion then become..If we take the resistance proportional to the nth power of the velocity.,where . is a constant, one has the following differential equations ..
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