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Books > Science & Mathematics > Mathematics > Applied mathematics
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Classical Mechanics - Hamiltonian and Lagrangian Formalism (Hardcover, Edition.)
Loot Price: R4,555
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Classical Mechanics - Hamiltonian and Lagrangian Formalism (Hardcover, Edition.)
Expected to ship within 12 - 17 working days
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Formalism of classical mechanics underlies a number of powerful
mathematical methods that are widely used in theoretical and
mathematical physics. This book considers the basics facts of
Lagrangian and Hamiltonian mechanics, as well as related topics,
such as canonical transformations, integral invariants, potential
motion in geometric setting, symmetries, the Noether theorem and
systems with constraints. While in some cases the formalism is
developed beyond the traditional level adopted in the standard
textbooks on classical mechanics, only elementary mathematical
methods are used in the exposition of the material. The
mathematical constructions involved are explicitly described and
explained, so the book can be a good starting point for the
undergraduate student new to this field. At the same time and where
possible, intuitive motivations are replaced by explicit proofs and
direct computations, preserving the level of rigor that makes the
book useful for the graduate students intending to work in one of
the branches of the vast field of theoretical physics. To
illustrate how classical-mechanics formalism works in other
branches of theoretical physics, examples related to
electrodynamics, as well as to relativistic and quantum mechanics,
are included.
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