By Sergio Benenti
This ebook is an more desirable model of an prior Russian variation. in addition to thorough revisions, extra emphasis was once wear reordering the subjects in accordance with a category-theoretical view. this permits the mathematical effects to be said, proved, and understood in a miles more uncomplicated and chic way.
From the stories of the Russian edition:
"The major accessory is shifted to the appliance . . . in geometrical optics, thermostatics and regulate idea, and never to the Hamiltonian mechanics purely. . . . To make the e-book really self-contained, complete information of uncomplicated definitions and all proofs are integrated. during this manner, the vast majority of the textual content will be learn with no the prerequisite of a direction in geometry. the wonderful choice of examples illustrates the quite challenging and hugely summary mathematical conception and its hidden problems. . . . The publication can upward thrust actual curiosity for experts . . . . The . . . e-book is an important enter within the glossy symplectic geometry and its applications."
(Andrey Tsiganov, St. Petersburg kingdom University)
Sergio Benenti is a professor of mathematical physics at Universit� di Torino, Italy. His present fields of study contain symplectic geometry with purposes to actual theories, Riemannian geometry with functions to the speculation of the separation of variables within the Hamilton-Jacobi equation and in different proper differential equations of physics, and mathematical types of the dynamics of non-holonomic systems.