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Classical mechanics = Hamiltonian an...

Deriglazov, Alexei.

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Classical mechanics = Hamiltonian and Lagrangian formalism /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Classical mechanics/ by Alexei Deriglazov.
其他題名:	Hamiltonian and Lagrangian formalism /
作者:	Deriglazov, Alexei.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xvi, 445 p. :ill., digital ;24 cm.
內容註:	Sketch of Lagrangian Formalism -- Hamiltonian Formalism -- Canonical Transformations of Two-Dimensional Phase Space -- Properties of Canonical Transformations -- Integral Invariants -- Some Mechanical Problems in a Geometric Setting -- Transformations, Symmetries and Noether Theorem -- Hamiltonian Formalism for Singular Theories -- Classical and Quantum Relativistic Mechanics of a Spinning Particle -- Index.
Contained By:	Springer eBooks
標題:	Mechanics. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-44147-4
ISBN:	9783319441474

Classical mechanics = Hamiltonian and Lagrangian formalism /
Deriglazov, Alexei.

Classical mechanicsHamiltonian and Lagrangian formalism /[electronic resource] :by Alexei Deriglazov. - 2nd ed. - Cham :Springer International Publishing :2017. - xvi, 445 p. :ill., digital ;24 cm.

Sketch of Lagrangian Formalism -- Hamiltonian Formalism -- Canonical Transformations of Two-Dimensional Phase Space -- Properties of Canonical Transformations -- Integral Invariants -- Some Mechanical Problems in a Geometric Setting -- Transformations, Symmetries and Noether Theorem -- Hamiltonian Formalism for Singular Theories -- Classical and Quantum Relativistic Mechanics of a Spinning Particle -- Index.

The revised edition of this advanced text 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. It reviews the fundamentals of Lagrangian and Hamiltonian mechanics, and goes on to cover 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. New material for the revised edition includes additional sections on the Euler-Lagrange equation, the Cartan two-form in Lagrangian theory, and Newtonian equations of motion in context of general relativity. Also new for this edition is the inclusion of problem sets and solutions to aid in the understanding of the material presented. The mathematical constructions involved are explicitly described and explained, so the book is a good starting point for the student new to this field. Where possible, intuitive motivations are replaced by explicit proofs and direct computations, preserving the level of rigor that makes the book useful for more advanced 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.

ISBN: 9783319441474

Standard No.: 10.1007/978-3-319-44147-4doiSubjects--Topical Terms:

525881
Mechanics.

LC Class. No.: QA805

Dewey Class. No.: 531

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505 0 $a Sketch of Lagrangian Formalism -- Hamiltonian Formalism -- Canonical Transformations of Two-Dimensional Phase Space -- Properties of Canonical Transformations -- Integral Invariants -- Some Mechanical Problems in a Geometric Setting -- Transformations, Symmetries and Noether Theorem -- Hamiltonian Formalism for Singular Theories -- Classical and Quantum Relativistic Mechanics of a Spinning Particle -- Index.
520 $a The revised edition of this advanced text 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. It reviews the fundamentals of Lagrangian and Hamiltonian mechanics, and goes on to cover 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. New material for the revised edition includes additional sections on the Euler-Lagrange equation, the Cartan two-form in Lagrangian theory, and Newtonian equations of motion in context of general relativity. Also new for this edition is the inclusion of problem sets and solutions to aid in the understanding of the material presented. The mathematical constructions involved are explicitly described and explained, so the book is a good starting point for the student new to this field. Where possible, intuitive motivations are replaced by explicit proofs and direct computations, preserving the level of rigor that makes the book useful for more advanced 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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