This book is intended for first year physics graduate students who
wish to learn about analytical mechanics. Lagrangians and
Hamiltonians are extensively treated following chapters where
particle motion, oscillations, coordinate systems, and rigid bodies
are dealt with in far greater detail than in most undergraduate
textbooks. Perturbation theory, relativistic mechanics, and two
case studies of continuous systems are presented.Each subject is
approached at progressively higher levels of abstraction.
Lagrangians and Hamiltonians are first presented in an inductive
way, leading up to general proofs. Hamiltonian mechanics is
expressed in Cartan's notation not too early; there is a
self-contained account of the traditional formulation.Numerous
problems with detailed solutions are provided. Graduate students
studying for the qualifying examination will find them very useful.
General
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