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.
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भाषा अंग्रेज़ी ● स्वरूप PDF ● ISBN 9783540696575 ● प्रकाशक Springer Berlin Heidelberg ● प्रकाशित 2006 ● डाउनलोड करने योग्य 3 बार ● मुद्रा EUR ● आईडी 6319814 ● कॉपी सुरक्षा Adobe DRM
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