By Sergio Benenti
This e-book is an superior model of an previous Russian variation. along with thorough revisions, extra emphasis used to be 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 straightforward and stylish way.
From the stories of the Russian edition:
"The major accessory is shifted to the application . . . in geometrical optics, thermostatics and keep an eye on conception, and never to the Hamiltonian mechanics simply. . . . To make the e-book rather self-contained, complete info of easy definitions and all proofs are incorporated. during this manner, the vast majority of the textual content could be learn with no the prerequisite of a direction in geometry. the wonderful selection of examples illustrates the fairly challenging and hugely summary mathematical thought and its hidden difficulties. . . . The ebook can upward push actual curiosity for experts . . . . The . . . e-book is an important enter within the sleek symplectic geometry and its applications."
(Andrey Tsiganov, St. Petersburg kingdom University)
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