Download The geometry of ordinary variational equations eBook in DJVU

(By Olga Krupkova)



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Format: DJVU

Language: English

Publisher: Springer



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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The geometry of ordinary variational equations ebook
The geometry of ordinary variational equations ebook pdf
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