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The Geometry of Ordinary Variational Equations

by Olga Krupkova
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Current price ₹5,684.00
Original price ₹6,821.00
Original price ₹6,821.00
Original price ₹6,821.00
(-17%)
₹5,684.00
Current price ₹5,684.00

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Book cover type: Paperback
  • ISBN13: 9783540638322
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 254
  • Original Price: USD 54.99
  • Language: English
  • Edition: 1997
  • Item Weight: 372 grams
  • BISAC Subject(s): Differential Equations / General

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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