Classical Mechanics

Hamiltonian and Lagrangian Formalism

Nonfiction, Science & Nature, Science, Physics, Mechanics, Mathematical Physics
Cover of the book Classical Mechanics by Alexei Deriglazov, Springer Berlin Heidelberg
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Alexei Deriglazov ISBN: 9783642140372
Publisher: Springer Berlin Heidelberg Publication: August 28, 2010
Imprint: Springer Language: English
Author: Alexei Deriglazov
ISBN: 9783642140372
Publisher: Springer Berlin Heidelberg
Publication: August 28, 2010
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer Berlin Heidelberg

Cover of the book Applied Conjoint Analysis by Alexei Deriglazov
Cover of the book Rechtshandbuch Social Media by Alexei Deriglazov
Cover of the book Biopatent Law: European vs. US Patent Law by Alexei Deriglazov
Cover of the book Sports Injuries by Alexei Deriglazov
Cover of the book Engineering Heat Transfer by Alexei Deriglazov
Cover of the book Fullspace-Projektion by Alexei Deriglazov
Cover of the book Benchmarking Transaction and Analytical Processing Systems by Alexei Deriglazov
Cover of the book Arthroplasty of the Spine by Alexei Deriglazov
Cover of the book Analytical Methods in Wood Chemistry, Pulping, and Papermaking by Alexei Deriglazov
Cover of the book Rediscovering the World by Alexei Deriglazov
Cover of the book NanoCarbon 2011 by Alexei Deriglazov
Cover of the book Sparking Signals by Alexei Deriglazov
Cover of the book Renal and Adrenal Tumors by Alexei Deriglazov
Cover of the book Proceedings of the 2015 International Conference on Electrical and Information Technologies for Rail Transportation by Alexei Deriglazov
Cover of the book Inflammation and Gastrointestinal Cancers by Alexei Deriglazov
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy