Hamiltonian Structures and Generating Families 2012 Edition Contributor(s): Benenti, Sergio (Author) |
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ISBN: 1461414989 ISBN-13: 9781461414988 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback Published: September 2011 |
Additional Information |
BISAC Categories: - Mathematics | Geometry - Differential - Mathematics | Mathematical Analysis - Science | System Theory |
Dewey: 514.74 |
LCCN: 2011936973 |
Series: Universitext |
Physical Information: 0.58" H x 6.14" W x 9.21" (0.85 lbs) 258 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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) |