000			03204nam a22004935i 4500
001			978-3-642-14037-2
003			DE-He213
005			20140220084540.0
007			cr nn 008mamaa
008			100907s2010 gw | s |||| 0|eng d
020			_a9783642140372 _9978-3-642-14037-2
024	7		_a10.1007/978-3-642-14037-2 _2doi
050		4	_aQC120-168.85
050		4	_aQA808.2
072		7	_aPHD _2bicssc
072		7	_aSCI041000 _2bisacsh
082	0	4	_a531 _223
100	1		_aDeriglazov, Alexei. _eauthor.
245	1	0	_aClassical Mechanics _h[electronic resource] : _bHamiltonian and Lagrangian Formalism / _cby Alexei Deriglazov.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2010.
300			_aXII, 388p. 40 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aSketch 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.
520			_aFormalism 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.
650		0	_aPhysics.
650		0	_aMathematics.
650		0	_aMathematical physics.
650		0	_aMechanics.
650		0	_aEngineering mathematics.
650	1	4	_aPhysics.
650	2	4	_aMechanics.
650	2	4	_aApplications of Mathematics.
650	2	4	_aAppl.Mathematics/Computational Methods of Engineering.
650	2	4	_aMathematical Methods in Physics.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642140365
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-642-14037-2
912			_aZDB-2-PHA
999			_c112392 _d112392