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Hamiltonian Structures and Generating Families.

Hamiltonian Structures and Generating Families. 2011.

・ISBN 978-1-4614-1498-8 paper EUR 49.99

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お気に入り
著者・編者Benenti, Sergio,
シリーズUniversitext
出版社(Springer-Verlag New York Inc., US)
出版年月2011
ページ数258 pp.
言語ENG
ニュース番号<M25-23143>

解説

This book is an enhanced version of an earlier Russian edition. Besides thorough revisions, more emphasis was put on reordering the topics according to a category-theoretical view. This allows the mathematical results to be stated, proved, and understood in a much easier and elegant way.

From the reviews of the Russian edition:

"The main accent is shifted to the application . . . in geometrical optics, thermostatics and control theory, and not to the Hamiltonian mechanics only. . . . To make the book fairly self-contained, full details of basic definitions and all proofs are included. In this way, the majority of the text can be read without the prerequisite of a course in geometry. The excellent collection of examples illustrates the relatively hard and highly abstract mathematical theory and its hidden difficulties. . . . The book can rise real interest for specialists . . . . The . . . book is a significant input in the modern symplectic geometry and its applications."
(Andrey Tsiganov, St. Petersburg State University)