Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Hamiltonian systems

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Classical mechanics. Field theory --- Differential geometry. Global analysis --- Hamiltonian systems --- Many-body problem --- Hamiltonsystemen --- Problem of many bodies --- Problem of n-bodies --- Probleme a n corps --- Systèmes hamiltoniens --- n-body problem --- n-lichaamprobleem --- Hamiltonian systems. --- Many-body problem.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This third edition text provides expanded material on the restricted three body problem and celestial mechanics. With each chapter containing new content, readers are provided with new material on reduction, orbifolds, and the regularization of the Kepler problem, all of which are provided with applications. The previous editions grew out of graduate level courses in mathematics, engineering, and physics given at several different universities. The courses took students who had some background in differential equations and lead them through a systematic grounding in the theory of Hamiltonian mechanics from a dynamical systems point of view. This text provides a mathematical structure of celestial mechanics ideal for beginners, and will be useful to graduate students and researchers alike. Reviews of the second edition: "The primary subject here is the basic theory of Hamiltonian differential equations studied from the perspective of differential dynamical systems. The N-body problem is used as the primary example of a Hamiltonian system, a touchstone for the theory as the authors develop it. This book is intended to support a first course at the graduate level for mathematics and engineering students. … It is a well-organized and accessible introduction to the subject … . This is an attractive book … ." (William J. Satzer, The Mathematical Association of America, March, 2009) “The second edition of this text infuses new mathematical substance and relevance into an already modern classic … and is sure to excite future generations of readers. … This outstanding book can be used not only as an introductory course at the graduate level in mathematics, but also as course material for engineering graduate students. … it is an elegant and invaluable reference for mathematicians and scientists with an interest in classical and celestial mechanics, astrodynamics, physics, biology, and related fields.” (Marian Gidea, Mathematical Reviews, Issue 2010 d).

Mathematics. --- Dynamics. --- Ergodic theory. --- Physics. --- Vibration. --- Dynamical systems. --- Dynamical Systems and Ergodic Theory. --- Theoretical, Mathematical and Computational Physics. --- Vibration, Dynamical Systems, Control. --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Cycles --- Sound --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Math --- Science --- Differentiable dynamical systems. --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Hamiltonian systems. --- Many-body problem. --- Mathematical physics. --- Physical mathematics

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Functional analysis

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Celestial mechanics --- Manifolds (Mathematics) --- Three-body problem --- Problem of three bodies --- Mechanics, Analytic --- Geometry, Differential --- Topology --- Gravitational astronomy --- Mechanics, Celestial --- Astrophysics --- Mechanics