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Hamiltonian Structures and Generating Families

Hamiltonian Structures and Generating Families

Paperback

Series: Universitext

General MathematicsGeneral ScienceGeometry

ISBN10: 1461414989
ISBN13: 9781461414988
Publisher: Springer Nature
Published: Sep 8 2011
Pages: 258
Weight: 0.85
Height: 0.58 Width: 6.14 Depth: 9.21
Language: English

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.

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Geometry