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Offin 205 $a3rd ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XIII, 384 p. 40 illus., 9 illus. in color.) 225 1 $aApplied Mathematical Sciences,$x0066-5452 ;$v90 311 $a3-319-53690-7 320 $aIncludes bibliographical references and index. 327 $aBeginnings -- Hamiltonian Systems -- Celestial Mechanics -- The Restricted Problem -- Topics in Linear Theory -- Local Geometric Theory -- Symplectic Geometry -- Special Coordinates -- Poincaré?s Continuation Method -- Normal Forms -- Bifurcations of Periodic Orbits -- Stability and KAM Theory -- Variational Techniques. 330 $aThis third edition text provides expanded material on the restricted three body problem and celestial mechanics. With each chapter containing new content, readers are provided with new material on reduction, orbifolds, and the regularization of the Kepler problem, all of which are provided with applications. The previous editions grew out of graduate level courses in mathematics, engineering, and physics given at several different universities. The courses took students who had some background in differential equations and lead them through a systematic grounding in the theory of Hamiltonian mechanics from a dynamical systems point of view. This text provides a mathematical structure of celestial mechanics ideal for beginners, and will be useful to graduate students and researchers alike. Reviews of the second edition: "The primary subject here is the basic theory of Hamiltonian differential equations studied from the perspective of differential dynamical systems. The N-body problem is used as the primary example of a Hamiltonian system, a touchstone for the theory as the authors develop it. This book is intended to support a first course at the graduate level for mathematics and engineering students. ? It is a well-organized and accessible introduction to the subject ? . This is an attractive book ? ." (William J. Satzer, The Mathematical Association of America, March, 2009) ?The second edition of this text infuses new mathematical substance and relevance into an already modern classic ? and is sure to excite future generations of readers. ? This outstanding book can be used not only as an introductory course at the graduate level in mathematics, but also as course material for engineering graduate students. ? it is an elegant and invaluable reference for mathematicians and scientists with an interest in classical and celestial mechanics, astrodynamics, physics, biology, and related fields.? (Marian Gidea, Mathematical Reviews, Issue 2010 d). 410 0$aApplied Mathematical Sciences,$x0066-5452 ;$v90 606 $aDynamics 606 $aErgodic theory 606 $aMathematical physics 606 $aVibration 606 $aDynamics 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005 606 $aVibration, Dynamical Systems, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/T15036 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aMathematical physics. 615 0$aVibration. 615 0$aDynamics. 615 14$aDynamical Systems and Ergodic Theory. 615 24$aTheoretical, Mathematical and Computational Physics. 615 24$aVibration, Dynamical Systems, Control. 676 $a515.39 700 $aMeyer$b Kenneth R$4aut$4http://id.loc.gov/vocabulary/relators/aut$059481 702 $aOffin$b Daniel C$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254277703321 996 $aIntroduction to Hamiltonian dynamical systems and the N-body problem$9229870 997 $aUNINA