Arising from a graduate course taught to math and engineering students, this text provides a systematic grounding in the theory of Hamiltonian systems, as well as introducing the theory of integrals and reduction. A number of other topics are covered too.
Rezensionen / Stimmen
From the 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) "This is an interesting book on Hamiltonian systems, which is conceived as a first course at the graduate level. ... the book has two parts. The first one includes seven chapters and is more introductory in nature. ... The second part contains the most interesting and advanced material of the book. ... The book ... constitutes a very complete course on the theory of Hamiltonian systems." (Narciso Roman-Roy, Zentralblatt MATH, Vol. 1179, 2010)
Reihe
Auflage
Softcover reprint of hardcover 2nd ed. 2009
Sprache
Verlagsort
Zielgruppe
Für Beruf und Forschung
Research
Produkt-Hinweis
Illustrationen
Maße
Höhe: 23.5 cm
Breite: 15.5 cm
Dicke: 21 mm
Gewicht
ISBN-13
978-1-4419-1886-4 (9781441918864)
DOI
10.1007/978-0-387-09724-4
Schweitzer Klassifikation
Ken Meyer is an emeritus professor at the University of Cincinnati, Glen Hall is an associate professor at Boston University, and Dan Offin is a professor at Queen's University.
Hamiltonian Systems.- Equations of Celestial Mechanics.- Linear Hamiltonian Systems.- Topics in Linear Theory.- Exterior Algebra and Differential Forms.- Symplectic Transformations.- Special Coordinates.- Geometric Theory.- Continuation of Solutions.- Normal Forms.- Bifurcations of Periodic Orbits.- Variational Techniques.- Stability and KAM Theory.- Twist Maps and Invariant Circle.
