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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
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The Geometry of Ordinary Variational Equations (Paperback, 1997 ed.)
Loot Price: R1,543
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The Geometry of Ordinary Variational Equations (Paperback, 1997 ed.)
Series: Lecture Notes in Mathematics, 1678
Expected to ship within 10 - 15 working days
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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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