TY  - BOOK
AU  - Deriglazov,Alexei
ED  - SpringerLink (Online service)
TI  - Classical Mechanics: Hamiltonian and Lagrangian Formalism 
SN  - 9783642140372
AV  - QC120-168.85 
U1  - 531 23
PY  - 2010///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg, Imprint: Springer
KW  - Physics
KW  - Mathematics
KW  - Mathematical physics
KW  - Mechanics
KW  - Engineering mathematics
KW  - Applications of Mathematics
KW  - Appl.Mathematics/Computational Methods of Engineering
KW  - Mathematical Methods in Physics
N1  - Sketch of Lagrangian Formalism -- Hamiltonian Formalism -- Canonical Transformations of Two-Dimensional Phase Space -- Properties of Canonical Transformations -- Integral Invariants -- Potential Motion in a Geometric Setting -- Transformations, Symmetries and Noether Theorem -- Hamiltonian Formalism for Singular Theories
N2  - 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
UR  - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-14037-2
ER  -