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Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
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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. Poincare'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 Poincare-Birkhoff fixed point theorem.
Subject categories
- Academic > Mathematics > Geometry. Trigonometry.Topology > Global analysis (Mathematics)
- Academic > Mathematics > Geometry. Trigonometry.Topology > Differentiable dynamical systems
- Academic > Mathematics > Geometry. Trigonometry.Topology > Hamiltonian systems
- Academic > Mathematics > General > Mathematics
- Academic > Computer Science > Computer science
- Academic > Computer Science > Electronic data processing
- Academic > Computer Science > Computers - special aspects
- Academic > Computer Science > System design; Periodicals
- Academic > Computer Science > Electronic data processing; Distributed processing
- Academic > Mathematics > Tables
- Academic > Mathematics > Instruments and machines
- Reference > Trivia
- Mathematics
ISBNs
0387097244
9780387097237
9780387097244