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Introduction to Hamiltonian Dynamical Systems and the N-Body Problem (Applied Mathematical Sciences)
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ISBN
:
9780387097237
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Publisher
:
Springer
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Subject
:
Physics, Education, Mathematics
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Binding
:
HARDCOVER
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Pages
:
412
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Year
:
2008
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5159.0
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4436.0
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Description
This text grew out of notes from a graduate course taught to students in mathematics and mechanical engineering. The goal was to take students who had some basic knowledge of differential equations and lead them through a systematic grounding in the theory of Hamiltonian systems, an introduction to the theory of integrals and reduction. PoincarxE9;x2019;s continuation of periodic solution, normal forms, and applications of KAM theory. There is a special chapter devoted to the theory of twist maps and various extensions of the classic PoincarxE9;-Birkhoff fixed point theorem.
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