First published in 1987, this text offers concise but clear
explanations and derivations to give readers a confident grasp of
the chain of argument that leads from Newton 's laws through
Lagrange 's equations and Hamilton 's principle, to Hamilton 's
equations and canonical transformations.
This new edition has been extensively revised and updated to
include:
- A chapter on symplectic geometry and the geometric
interpretation of some of the coordinate calculations.
- A more systematic treatment of the conections with the
phase-plane analysis of ODEs; and an improved treatment of Euler
angles.
- A greater emphasis on the links to special relativity and
quantum theory showing how ideas from this classical subject link
into contemporary areas of mathematics and theoretical
physics.
A wealth of examples show the subject in action and a range of
exercises with solutions are provided to help test
understanding.
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