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Lagrangian and Hamiltonian Dynamics (Hardcover)
Loot Price: R2,886
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Lagrangian and Hamiltonian Dynamics (Hardcover)
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An introductory textbook exploring the subject of Lagrangian and
Hamiltonian dynamics, with a relaxed and self-contained setting.
Lagrangian and Hamiltonian dynamics is the continuation of Newton's
classical physics into new formalisms, each highlighting novel
aspects of mechanics that gradually build in complexity to form the
basis for almost all of theoretical physics. Lagrangian and
Hamiltonian dynamics also acts as a gateway to more abstract
concepts routed in differential geometry and field theories and can
be used to introduce these subject areas to newcomers. Journeying
in a self-contained manner from the very basics, through the
fundamentals and onwards to the cutting edge of the subject, along
the way the reader is supported by all the necessary background
mathematics, fully worked examples, thoughtful and vibrant
illustrations as well as an informal narrative and numerous fresh,
modern and inter-disciplinary applications. The book contains some
unusual topics for a classical mechanics textbook. Most notable
examples include the 'classical wavefunction', Koopman-von Neumann
theory, classical density functional theories, the 'vakonomic'
variational principle for non-holonomic constraints, the
Gibbs-Appell equations, classical path integrals, Nambu brackets
and the full framing of mechanics in the language of differential
geometry.
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