TY - BOOK ID - 8134759 TI - Classical mechanics with Mathematica® PY - 2012 SN - 0817683518 0817683526 9780817683511 PB - Boston: Birkhäuser, DB - UniCat KW - Mathematica (Computer file). KW - Mechanics -- Mathematical models. KW - Mechanics KW - Engineering & Applied Sciences KW - Mathematics KW - Physical Sciences & Mathematics KW - Geometry KW - Applied Mathematics KW - Mathematical models KW - Mathematical models. KW - Mathematica (Computer file) KW - Classical mechanics KW - Newtonian mechanics KW - Mathematics. KW - Differential geometry. KW - Mathematical physics. KW - Physics. KW - Mechanics. KW - Fluids. KW - Continuum mechanics. KW - Differential Geometry. KW - Mathematical Physics. KW - Fluid- and Aerodynamics. KW - Continuum Mechanics and Mechanics of Materials. KW - Mathematical Methods in Physics. KW - Physics KW - Dynamics KW - Quantum theory KW - Global differential geometry. KW - Mechanics, Applied. KW - Classical Mechanics. KW - Solid Mechanics. KW - Physical mathematics KW - Applied mechanics KW - Engineering, Mechanical KW - Engineering mathematics KW - Geometry, Differential KW - Mathematica (Computer program language) KW - Natural philosophy KW - Philosophy, Natural KW - Physical sciences KW - Hydraulics KW - Hydrostatics KW - Permeability KW - Differential geometry KW - Global differential geometry KW - Mathematical physics KW - Materials UR - https://www.unicat.be/uniCat?func=search&query=sysid:8134759 AB - This 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. ER -