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£159.88

Springer Classical Mechanics: Hamiltonian and Lagrangian Formalism

Name: Classical Mechanics: Hamiltonian and Lagrangian Formalism
Brand: Springer
Price: 159.88 GBP
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Mechanics

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Description

This account of the fundamentals of Hamiltonian mechanics also covers related topics such as integral invariants and the Noether theorem. With just the elementary mathematical methods used for exposition, the book is suitable for novices as well as graduates. Review “In this book, the Hamiltonian and Lagrangian formulations in the frameworks of classical and quantum mechanics are presented. Most of the theoretical results are proved. The examples are interesting. … This book can be used by undergraduate students in physics.” (Cristian Lăzureanu, zbMATH 1364.70001, 2017) From the Back Cover 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. About the Author Prof. Dr. Alexei Anatolevich Deriglazov has studied physics at the Tomsk State University (Russia). He has more than 25 years of teaching experience at the Universities of Sao Paulo, Rio de Janeiro and Juiz de Fora (Brazil) in Mathematical Physics. His research interests are focused on Geometry and Topology, Mathematical Physics and Quantum Physics.

Product Specifications

Brand: Springer
Format: Paperback
ASIN: 3319829955
Category: Books > Subjects > Science, Nature & Maths > Engineering & Technology > Civil Engineering > Mechanics
Domain: Amazon UK
Release Date: 16 June 2018
Listed Since: 18 June 2018

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Springer Classical Mechanics: Hamiltonian and Lagrangian Formalism

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