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Hamiltonian Structures and Generating Families (Universitext)
Sergio Benenti
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Description for Hamiltonian Structures and Generating Families (Universitext)
Paperback. Series: Universitext. 274 pages, black & white illustrations. An enhanced version of an earlier Russian edition. It deals with modern symplectic geometry and its applications. It puts more emphasis 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 way. Cateogry: (UP) Postgraduate, Research & Scholarly. BIC Classification: GPFC; PBKS; PBMP. Dimension: 233 x 160 x 17. Weight: 414.
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 ... Read more
Product Details
Format
Paperback
Publication date
2011
Publisher
Springer
Condition
New
Number of Pages
258
Place of Publication
New York, NY, United States
ISBN
9781461414988
SKU
V9781461414988
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Sergio Benenti
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.
Reviews for Hamiltonian Structures and Generating Families (Universitext)
From the reviews: “This book gives the basic definitions and results as well as some physical instances where the theory is applied, of Hamiltonian systems in terms of Lagrangian submanifolds and their generating families. … This new work gives an improved presentation of the theoretical part and deeper developments of its applications. … This book is aimed at both ... Read more