TY - BOOK ID - 57021379 TI - Classical Mechanics : Hamiltonian and Lagrangian Formalism PY - 2017 SN - 9783319441474 PB - Cham : Springer International Publishing : Imprint: Springer, DB - UniCat KW - Mathematics KW - Mathematical physics KW - Classical mechanics. Field theory KW - Solid state physics KW - Applied physical engineering KW - Engineering sciences. Technology KW - Computer. Automation KW - ICT (informatie- en communicatietechnieken) KW - toegepaste wiskunde KW - theoretische fysica KW - toegepaste mechanica KW - economie KW - wiskunde KW - ingenieurswetenschappen KW - mechanica KW - Mechanics. KW - Mechanics, Applied. KW - Mathematics. KW - Engineering mathematics. KW - Classical Mechanics. KW - Theoretical, Mathematical and Computational Physics. KW - Solid Mechanics. KW - Applications of Mathematics. KW - Mathematical and Computational Engineering. KW - Classical mechanics KW - Newtonian mechanics KW - Physics KW - Dynamics KW - Quantum theory KW - Math KW - Science KW - Engineering KW - Engineering analysis KW - Mathematical analysis KW - Applied mechanics KW - Engineering, Mechanical KW - Engineering mathematics KW - Mathematical physics. KW - Applied mathematics. KW - Physical mathematics UR - https://www.unicat.be/uniCat?func=search&query=sysid:57021379 AB - 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. ER -