{"product_id":"the-geometry-of-ordinary-variational-equations-9783540638322","title":"The Geometry of Ordinary Variational Equations","description":"\u003cp\u003e • Author(s): Olga Krupkova\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Differential Equations - General\u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":47614684659863,"sku":"9783540638322","price":5684.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783540638322.webp?v=1775095514","url":"https:\/\/atlanticbooks.com\/products\/the-geometry-of-ordinary-variational-equations-9783540638322","provider":"Atlantic Books","version":"1.0","type":"link"}