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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Geometry of Ordinary Variational Equations

The Geometry of Ordinary Variational Equations

Krupkova, Olga

Paperback

Series: Lecture Notes in Mathematics, Book 1678

General MathematicsGeometry

ISBN10: 3540638326
ISBN13: 9783540638322
Publisher: Springer Nature
Published: Nov 27 1997
Pages: 254
Weight: 0.82
Height: 0.55 Width: 6.14 Depth: 9.21
Language: English
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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