Symmetry in Mechanics : a Gentle, Modern Introduction / by Stephanie Frank Singer.

[See attached for complete text]Recent years have seen the appearance of several books bridging the gap between mathematics and physics; most are aimed at the graduate level and above. {\it Symmetry in Mechanics: A Gentle, Modern Introduction} is geared towards a broad audience, requiring only compe...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Singer, Stephanie Frank
Format: eBook
Language:English
Published: Boston, MA : Birkhäuser Boston : Imprint : Birkhäuser, 2004.
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MARC

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505 0 |a 0 Preliminaries -- 1 The Two-Body Problem -- 2 Phase Spaces are Symplectic Manifolds -- 3 Differential Geometry -- 4 Total Energy Functions are Hamiltonian Functions -- 5 Symmetries are Lie Group Actions -- 6 Infinitesimal Symmetries are Lie Algebras -- 7 Conserved Quantities are Momentum Maps -- 8 Reduction and The Two-Body Problem -- Recommended Reading -- Solutions -- References. 
520 |a [See attached for complete text]Recent years have seen the appearance of several books bridging the gap between mathematics and physics; most are aimed at the graduate level and above. {\it Symmetry in Mechanics: A Gentle, Modern Introduction} is geared towards a broad audience, requiring only competency in multivariable calculus, linear algebra, and introductory physics. This work was written with two goals in mind: to chip away at the language barrier between physicists and mathematicians and to link the abstract constructions of symplectic to concrete, explicitly calculated examples. The c. 
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