Classical Mechanics
Hamiltonian and Lagrangian Formalism
Authors: Deriglazov, Alexei
 With worked examples, 55 end of chapter exercises and chapter summaries
 The equivalence of various definitions of the canonical transformation is proved explicitly, in contrast to competing books
 Discussion of (global) symmetries and the Noether theorem in the framework of classical mechanics gives a new approach not covered by most mechanics textbooks
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 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. 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 EulerLagrange equation, the Cartan twoform 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 classicalmechanics formalism works in other branches of theoretical physics, examples related to electrodynamics, as well as to relativistic and quantum mechanics, are included.  About the authors

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.
 Reviews

“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)
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Bibliographic Information
 Bibliographic Information

 Book Title
 Classical Mechanics
 Book Subtitle
 Hamiltonian and Lagrangian Formalism
 Authors

 Alexei Deriglazov
 Copyright
 2017
 Publisher
 Springer International Publishing
 Copyright Holder
 Springer International Publishing Switzerland
 eBook ISBN
 9783319441474
 DOI
 10.1007/9783319441474
 Hardcover ISBN
 9783319441467
 Edition Number
 2
 Number of Pages
 XVI, 445
 Number of Illustrations and Tables
 53 b/w illustrations
 Topics