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008 161008s2017 gw |||| o |||| 0|eng
010 _a 2019747851
020 _a9783319441474
024 7 _a10.1007/978-3-319-44147-4
_2doi
035 _a(DE-He213)978-3-319-44147-4
040 _aDLC
_beng
_epn
_erda
_cDLC
072 7 _aPHD
_2bicssc
072 7 _aPHD
_2thema
072 7 _aSCI041000
_2bisacsh
082 0 4 _a531
_223
_bDER
100 1 _aDeriglazov, Alexei.
_eauthor.
_912103
245 1 0 _aClassical Mechanics :
_bHamiltonian and Lagrangian Formalism /
_cby Alexei Deriglazov.
250 _a2nd ed. .
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _axvi, 445 p. :
_bill. ;
_c24 cm
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
520 _aThe 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.
588 _aDescription based on publisher-supplied MARC data.
650 0 _aApplied mathematics.
_912104
650 0 _aEngineering mathematics.
_912105
650 0 _aMathematical physics.
_912106
650 0 _aMechanics, Applied.
_93273
650 0 _aMechanics.
_912107
650 1 4 _aClassical Mechanics.
_0https://scigraph.springernature.com/ontologies/product-market-codes/P21018
_912108
650 2 4 _aApplications of Mathematics.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M13003
_912109
650 2 4 _aMathematical and Computational Engineering.
_0https://scigraph.springernature.com/ontologies/product-market-codes/T11006
_912110
650 2 4 _aSolid Mechanics.
_0https://scigraph.springernature.com/ontologies/product-market-codes/T15010
_912111
650 2 4 _aTheoretical, Mathematical and Computational Physics.
_0https://scigraph.springernature.com/ontologies/product-market-codes/P19005
_912112
776 0 8 _iPrint version:
_tClassical mechanics : Hamiltonian and Lagrangian formalism
_z9783319441467
_w(DLC) 2016955096
776 0 8 _iPrinted edition:
_z9783319441467
776 0 8 _iPrinted edition:
_z9783319441481
776 0 8 _iPrinted edition:
_z9783319829951
906 _a0
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