CLASSICAL MECHANICS WITH MATHEMATICA 2ND EDITION
5,573.00₹ 6,966.00₹
- Author: ANTONIO ROMANO
- ISBN: 9783319775944
- Availability: In Stock
Buy CLASSICAL MECHANICS WITH MATHEMATICA 2ND EDITION | Technical Books, New Arrivals
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 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.