02757nam a22004935i 4500 978-0-387-38905-9 DE-He213 20260521091915.0 cr nn 008mamaa 100301s2007 xxu| s |||| 0|eng d 9780387389059 99780387389059 10.1007/978-0-387-38905-9 doi CICY 523.01 23 Ferraz-Mello, Sylvio. author. Canonical Perturbation Theories [recurso electrónico] : Degenerate Systems and Resonance / by Sylvio Ferraz-Mello. New York, NY : Springer New York, 2007. XIV, 341 p. online resource. text txt rdacontent computer c rdamedia recurso en línea cr rdacarrier text file PDF rda Astrophysics and Space Science Library, 0067-0057 ; 345 The Hamilton-Jacobi Theory -- Angle-Action Variables. Separable Systems -- Classical Perturbation Theories -- Resonance -- Lie Mappings -- Lie Series Perturbation Theory -- Non-Singular Canonical Variables -- Lie Series Theory for Resonant Systems -- Single Resonance near a Singularity -- Nonlinear Oscillators. Canonical Perturbation Theories, Degenerate Systems and Resonance presents the foundations of Hamiltonian Perturbation Theories used in Celestial Mechanics, emphasizing the Lie Series Theory and its application to degenerate systems and resonance. This book is the complete text on the subject including advanced topics in Hamiltonian Mechanics, Hori's Theory, and the classical theories of Poincaré, von Zeipel-Brouwer, and Delaunay. Also covered are Kolmogorov's frequency relocation method to avoid small divisors, the construction of action-angle variables for integrable systems, and a complete overview of some problems in Classical Mechanics. Sylvio Ferraz-Mello makes these ideas accessible not only to Astronomers, but also to those in the related fields of Physics and Mathematics. PHYSICS. MATHEMATICS. MATHEMATICAL PHYSICS. ASTRONOMY. ASTROPHYSICS. PHYSICS. ASTROPHYSICS. MATHEMATICAL AND COMPUTATIONAL PHYSICS. ASTRONOMY. APPLICATIONS OF MATHEMATICS. SpringerLink (Online service) Springer eBooks Printed edition: 9780387389004 Astrophysics and Space Science Library, 0067-0057 ; 345 http://dx.doi.org/10.1007/978-0-387-38905-9 Ver el texto completo en las instalaciones del CICY ddc ER 33545 33545 0 0 ddc 0 0 LE CICY CICY EL 2025-07-10 0 523.01 2025-07-10 08:39:58 2025-07-10 ER