| Classical Mechanics: Hamiltonian and Lagrangian Formalism 2017 Edition Contributor(s): Deriglazov, Alexei (Author) |
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ISBN: 3319441469 ISBN-13: 9783319441467 Publisher: Springer OUR PRICE: $237.49 Product Type: Hardcover - Other Formats Published: October 2016 |
| Additional Information |
| BISAC Categories: - Science | Mechanics - Solids - Science | Physics - Mathematical & Computational - Technology & Engineering | Mechanical |
| Dewey: 531 |
| Physical Information: 1" H x 6.14" W x 9.21" (1.81 lbs) 445 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |