Read INVERSE VARIATIONAL PROBLEM IN CLASSICAL MECHANICS, THE

INVERSE VARIATIONAL PROBLEM IN CLASSICAL MECHANICS, THE

Jan Lopuszanski

4.9/5 (14971 ratings)

Description:This book provides a concise description of the current status of a fascinating scientific problem -- the inverse variational problem in classical mechanics. The essence of this problem is as follows: one is given a set of equations of motion describing a certain classical mechanical system, and the question to be answered is: Do these equations of motion correspond to some Lagrange function as its Euler-Lagrange equations? In general, not for every system of equations of motion does a Lagrange function exist; it can, however, happen that one may modify the given equations of motion in such a way that they yield the same set of solutions as the original ones and they correspond already to a Lagrange function. Moreover, there can even be infinitely many such Lagrange functions, the relations among which are not trivial. The book deals with this scope of problems. No advanced mathematical methods, such as, contemporary differential geometry, are used. The intention is to meet the standard educational level of a broad group of physicists and mathematicians. The book is well suited for use as lecture notes in a university course for physicists.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with INVERSE VARIATIONAL PROBLEM IN CLASSICAL MECHANICS, THE. To get started finding INVERSE VARIATIONAL PROBLEM IN CLASSICAL MECHANICS, THE, you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 981024178X

Description: This book provides a concise description of the current status of a fascinating scientific problem -- the inverse variational problem in classical mechanics. The essence of this problem is as follows: one is given a set of equations of motion describing a certain classical mechanical system, and the question to be answered is: Do these equations of motion correspond to some Lagrange function as its Euler-Lagrange equations? In general, not for every system of equations of motion does a Lagrange function exist; it can, however, happen that one may modify the given equations of motion in such a way that they yield the same set of solutions as the original ones and they correspond already to a Lagrange function. Moreover, there can even be infinitely many such Lagrange functions, the relations among which are not trivial. The book deals with this scope of problems. No advanced mathematical methods, such as, contemporary differential geometry, are used. The intention is to meet the standard educational level of a broad group of physicists and mathematicians. The book is well suited for use as lecture notes in a university course for physicists.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with INVERSE VARIATIONAL PROBLEM IN CLASSICAL MECHANICS, THE. To get started finding INVERSE VARIATIONAL PROBLEM IN CLASSICAL MECHANICS, THE, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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INVERSE VARIATIONAL PROBLEM IN CLASSICAL MECHANICS, THE

INVERSE VARIATIONAL PROBLEM IN CLASSICAL MECHANICS, THE

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