Alexei A. Deriglazov's Books

Rigid Body as a Constrained System

Lagrangian and Hamiltonian Formalism

By: Alexei A. Deriglazov

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Rigid Body as a Constrained System

Lagrangian and Hamiltonian Formalism

By: Alexei A. Deriglazov

This book presents the dynamics of spinning bodies, the most confusing topic in Classical Mechanics, using both Lagrangian and Hamiltonian formulations. Choosing the variational problem as a sole starting point, it treats the rigid body as a system of particles with holonomic constraints within the standard methods of classical mechanics, eliminating the need for additional postulates. All basic quantities, equations, and integrals of motion are derived systematically. The rotation matrix, central to the formalism, is the main focus. The reader should find this approach more simple, transparent, and convincing than the traditional presentations. Chapter 2 covers the theory, while subsequent chapters apply the formalism to motions under external forces. Issues of integrability and many cases of solutions in elementary functions are presented. This book is suitable for undergraduate and graduate students familiar with classical mechanics.

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200

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Cambridge Scholars Publishing

Published Date

ISBN 10

1036412881

ISBN 13

9781036412883

Classical Mechanics

Hamiltonian and Lagrangian Formalism

By: Alexei Deriglazov

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Classical Mechanics

Hamiltonian and Lagrangian Formalism

By: Alexei Deriglazov

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. 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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Page Count

455

Publisher

Springer

Published Date

ISBN 10

3319441477

ISBN 13

9783319441474

Rigid Body as a Constrained System

Lagrangian and Hamiltonian Formalism

By: Alexei A. Deriglazov

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Rigid Body as a Constrained System

Lagrangian and Hamiltonian Formalism

By: Alexei A. Deriglazov

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

200

Publisher

Cambridge Scholars Publishing

Published Date

ISBN 10

1036412881

ISBN 13

9781036412883

Book's by Alexei A. Deriglazov

Rigid Body as a Constrained System

Rigid Body as a Constrained System

Classical Mechanics

Classical Mechanics

Rigid Body as a Constrained System

Rigid Body as a Constrained System

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