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Titlebook: The Geometry of Ordinary Variational Equations; Olga Krupková Book 1997 Springer-Verlag Berlin Heidelberg 1997 Hamilton-Jacobi theory.Hami

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書目名稱The Geometry of Ordinary Variational Equations
編輯Olga Krupková
視頻videohttp://file.papertrans.cn/911/910539/910539.mp4
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: The Geometry of Ordinary Variational Equations;  Olga Krupková Book 1997 Springer-Verlag Berlin Heidelberg 1997 Hamilton-Jacobi theory.Hami
描述The book provides a comprehensive theory of ODE which come as Euler-Lagrange equations from generally higher-order Lagrangians. Emphasis is laid on applying methods from differential geometry (fibered manifolds and their jet-prolongations) and global analysis (distributions and exterior differential systems). Lagrangian and Hamiltonian dynamics, Hamilton-Jacobi theory, etc., for any Lagrangian system of any order are presented. The key idea - to build up these theories as related with the class of equivalent Lagrangians - distinguishes this book from other texts on higher-order mechanics. The reader should be familiar with elements of differential geometry, global analysis and the calculus of variations.
出版日期Book 1997
關(guān)鍵詞Hamilton-Jacobi theory; Hamiltonian mechanics; Lagrangian mechanics; calculus; differential equation; dif
版次1
doihttps://doi.org/10.1007/BFb0093438
isbn_softcover978-3-540-63832-2
isbn_ebook978-3-540-69657-5Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 1997
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Book 1997build up these theories as related with the class of equivalent Lagrangians - distinguishes this book from other texts on higher-order mechanics. The reader should be familiar with elements of differential geometry, global analysis and the calculus of variations.
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Lecture Notes in Mathematicshttp://image.papertrans.cn/t/image/910539.jpg
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Implementation and Practical Study,off with high accuracy. However, the study detected major differences between the processes used to generate runoff within the models and those in the field. This raises questions about the general reliability of these techniques.
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