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Hamiltonian Structures and Generating Families

Hamiltonian Structures and Generating Families

Sergio Benenti (auth.)
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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)

Sergio Benenti is a professor of mathematical physics at Universit� di Torino, Italy. His current fields of research include symplectic geometry with applications to physical theories, Riemannian geometry with applications to the theory of the separation of variables in the Hamilton-Jacobi equation and in other relevant differential equations of physics, and mathematical models of the dynamics of non-holonomic systems.

Tahun:
2011
Edisi:
2011
Penerbit:
Springer New York
Bahasa:
english
Halaman:
273
ISBN 10:
1461414989
ISBN 13:
9781461414988
Nama siri:
Universitext
Fail:
PDF, 2.92 MB
IPFS:
CID , CID Blake2b
english, 2011
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