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The series of texts on classical theoretical physics is based on the highly successful series of courses given by Walter Greiner at the Johann Wolfgang Goethe University in Frankfurt am Main, Germany. Intended for advanced undergraduate and beginning graduate students, the volumes in the series provide not only a complete survey of classical theoretical physics but also an enormous number of worked examples and problems to show students clearly how to apply the abstract principles to realistic problems.
Compared to older books on this subject, the mathematical treatment has been updated for the study of more advanced topics in quantum mechanics ...
Classical Mechanics: Systems of Particles and Hamiltonian Dynamics, Volume 1. Walter Greiner.
It thoroughly introduces and explains the Lagrange and Hamilton equations and the Hamilton-Jacobi theory. A large section on nonlinear dynamics and chaotic behavior of systems takes Classical Mechanics to newest development in physics.
Classical Mechanics: Systems of Particles and Hamiltonian Dynamics - Kindle edition by Greiner, Walter.