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Field name	Details
Dewey Class	514.74
Title	Hamiltonian Structures and Generating Families ([Ebook]) / by Sergio Benenti.
Author	Benenti, Sergio
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2011.
Physical Details	XIV, 258 pages : 50 illus. : online resource.
Series	Universitext 0172-5939
ISBN	9781461414995
Summary Note	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 . . .Â 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 Università 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.:
Contents note	Preface.-Â Basic Notions of Calculus on Manifolds.-Â Relations.-Â Symplectic Relations on Symplectic Manifolds.-Â Symplectic Relations on Cotangent Bundles.-Â Canonical Lift on Cotangent Bundles.-The Geometry of the Hamilton-Jacobi Equation.-Â Hamiltonian Optics in Euclidean Spaces.-Â Control of Static Systems.-Â Supplementary Topics.-Â Global Hamilton Principal Functions on S2 and H2 -- References -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4614-1499-5
Links to Related Works	Subject References: Differential Geometry . Global analysis . Global Analysis and Analysis on Manifolds . Global differential geometry . Mathematical Applications in the Physical Sciences . Mathematical Physics . Mathematics . Systems theory . Systems Theory, Control . Authors: Benenti, Sergio . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 514.74 . 514.74 (DDC 23) .

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Hamiltonian Structures and Generating Families

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