By Antonio Romano
This textbook takes a broad yet thorough method of mechanics, geared toward bridging the space among classical analytic and modern differential geometric ways to the subject. built via the author from 35 years of educating adventure, the presentation is designed to provide scholars an outline of the numerous diversified models used throughout the background of the field—from Newton to Lagrange—while additionally portray a transparent photo of the main smooth advancements. all through, it makes heavy use of the robust instruments provided through Mathematica.
The quantity is geared up into components. the 1st specializes in constructing the mathematical framework of linear algebra and differential geometry priceless for the rest of the publication. subject matters coated contain tensor algebra, Euclidean and symplectic vector areas, differential manifolds, and absolute differential calculus. the second one a part of the e-book applies those issues to kinematics, inflexible physique dynamics, Lagrangian and Hamiltonian dynamics, Hamilton–Jacobi idea, thoroughly integrable platforms, statistical mechanics of equilibrium, and impulsive dynamics, between others.
Unique in its scope of assurance and approach to approach, Classical Mechanics could be a really resource for graduate students and complex undergraduates in utilized arithmetic and physics who desire to realize a deeper knowing of mechanics.
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