Introduction to Hamiltonian Dynamical Systems and the N-Body Problem By Kenneth R. Meyer, Glen R. Hall
English | PDF | 1992 | 304 Pages | ISBN : 038797637X | 26.7 MB
The theory of Hamiltonian systems is a vast subject which can be studied from many different viewpoints. This book develops the basic theory of Hamiltonian differential equations from a dynamical systems point of view. That is, the solutions of the differential equations are thought of as curves in a phase space and it is the geometry of these curves that is the important object of study. The analytic underpinnings of the subject are developed in detail.