{"product_id":"the-geometry-of-ordinary-variational-equations-von-olga-krupkova","title":"The Geometry of Ordinary Variational Equations","description":"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.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783540638322\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783540638322","offer_id":39436382830685,"sku":"9783540638322","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/5417bf51-a198-4643-b471-bf0114505220.jpg?v=1772084557","url":"https:\/\/shop.autorenwelt.de\/products\/the-geometry-of-ordinary-variational-equations-von-olga-krupkova","provider":"Autorenwelt Shop","version":"1.0","type":"link"}