000			04220nam a22005175i 4500
001			978-0-8176-8352-8
003			DE-He213
005			20251006084441.0
007			cr nn 008mamaa
008			120928s2012 xxu| s |||| 0|eng d
020			_a9780817683528
020			_a99780817683528
024	7		_a10.1007/978-0-8176-8352-8 _2doi
082	0	4	_a516.36 _223
100	1		_aAntonio, Romano. _eauthor.
245	1	0	_aClassical Mechanics with Mathematica® _h[electronic resource] / _cby Romano Antonio.
264		1	_aBoston, MA : _bBirkhäuser Boston : _bImprint: Birkhäuser, _c2012.
300			_aXIV, 506 p. 127 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aModeling and Simulation in Science, Engineering and Technology, _x2164-3679
505	0		_aI Introduction to Linear Algebra and Differential Geometry.- 1 Vector Space and Linear Maps.- 2 Tensor Algebra.- 3 Skew-symmetric Tensors and Exterior Algebra.- 4 Euclidean and Symplectic Vector Spaces.- 5 Duality and Euclidean Tensors.- 6 Differentiable Manifolds.- 7 One-Parameter Groups of Diffeomorphisms.- 8 Exterior Derivative and Integration.- 9 Absolute Differential Calculus -- 10 An Overview of Dynamical Systems.- II Mechanics.- 11 Kinematics of a Point Particle.- 12 Kinematics of Rigid Bodies.- 13 Principles of Dynamics.- 14 Dynamics of a Material Point.- 15 General Principles of Rigid Body Dynamics.- 16 Dynamics of a Rigid Body.- 17 Lagrangian Dynamics.- 18 Hamiltonian Dynamics.- 19 Hamilton-Jacobi Theory.- 20 Completely Integrable Systems.- 21 Elements of Statistical Mechanics of Equilibrium.- 22 Impulsive Dynamics.- 23 Introduction to Fluid Mechanics -- A First-Order PDE.- B Fourier's Series.- References.- Index.
520			_aThis textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject.  Developed by the author from 35 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field-from Newton to Lagrange-while also painting a clear picture of the most modern developments.  Throughout, it makes heavy use of the powerful tools offered by Mathematica® . The volume is organized into two parts.  The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book.  Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus.  The second part of the book applies these topics to kinematics, rigid body dynamics, Lagrangian and Hamiltonian dynamics, Hamilton-Jacobi theory, completely integrable systems, statistical mechanics of equilibrium, and impulsive dynamics, among others. With a unique selection of topics and a large array of exercises to reinforce concepts, Classical Mechanics with Mathematica is an excellent resource for graduate students in physics.  It can also serve as a reference for researchers wishing to gain a deeper understanding of both classical and modern mechanics.
650		0	_aMATHEMATICS.
650		0	_aGLOBAL DIFFERENTIAL GEOMETRY.
650		0	_aMATHEMATICAL PHYSICS.
650		0	_aMECHANICS.
650		0	_aMATERIALS.
650	1	4	_aMATHEMATICS.
650	2	4	_aDIFFERENTIAL GEOMETRY.
650	2	4	_aMECHANICS.
650	2	4	_aMATHEMATICAL PHYSICS.
650	2	4	_aFLUID- AND AERODYNAMICS.
650	2	4	_aCONTINUUM MECHANICS AND MECHANICS OF MATERIALS.
650	2	4	_aMATHEMATICAL METHODS IN PHYSICS.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817683511
830		0	_aModeling and Simulation in Science, Engineering and Technology, _x2164-3679
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-8352-8 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59894 _d59894