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An Introduction to Hamiltonian Mechanics

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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Civil 3D — Storm Sewer Analysis. Tekla software i — Latest Development for Working with Concrete. Physics Classical Continuum Physics. Free Preview. New edition with numerous problems with solutions, additional sections deepening the topics Euler-Lagrange, Cartan two-form in Lagrangian theory, Newtonian equations of motion in context of general relativity Discussion of global symmetries and the Noether theorem in the framework of classical mechanics gives a new approach not covered by most mechanics textbooks With worked examples, 80 end of chapter exercises and chapter summaries see more benefits.

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FAQ Policy. About this book The revised edition of this advanced textbook provides the reader with a solid grounding in the formalism of classical mechanics, underlying a number of powerful mathematical methods that are widely used in modern theoretical and mathematical physics. Show all.