000			02353nam a2200253Ia 4500
001			41377
003			IN-BdCUP
005			20230421155115.0
008			230413s2023 000 0 eng
020			_a9783319775944
040			_beng _cIN-BdCUP
041			_aeng
082			_a530.15 _bROM
100			_aRomano, Antonio
245		0	_aClassical mechanics with mathemtica / _cRomano, Antonio & Marasco, Addolorata
250			_a2nd Edition.
260			_aSwitzerland : _bBirkhauser, _c2012.
300			_axvi, 644 p. ; _c25 cm.
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 authors from over 30 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 Hamilton-while also painting a clear picture of the most modern developments. The text 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. This new edition has been completely revised and updated and now includes almost 200 exercises, as well as new chapters on celestial mechanics, one-dimensional continuous systems, and variational calculus with applications. Several Mathematica� notebooks are available to download that will further aid students in their understanding of some of the more difficult material. Unique in its scope of coverage and method of approach, Classical Mechanics with Mathematica� will be useful resource for graduate students and advanced undergraduates in applied mathematics and physics who hope to gain a deeper understanding of mechanics.
650			_aScience
650			_aClassical mechanics with mathemtica
700			_aMarasco, Addolorata
942			_2ddc _cBK
999			_c30620 _d30620