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Hamiltonian structures and generating families / Sergio Benenti.

By: Material type: TextTextLanguage: English Series: UniversitextPublication details: New York : Springer, c2011.Description: xiv, 258 pages : illustrations. ; 24 cmISBN:
  • 9781461414988
Subject(s): DDC classification:
  • 515.39
Contents:
Basic Notions of Calculus on Manifolds -- Relations -- Symplectic Relations on Symplectic Manifolds -- Symplectic Relations on Cotangent Bundles -- Canonical Lift on Cotangent Bundles -- The Geometry of the Hamilton–Jacobi Equation -- Hamiltonian Optics in Euclidean Spaces -- Control of Static Systems -- Supplementary Topics -- Global Hamilton Principal Functions on S2 and H2
Abstract: his 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.
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Holdings
Item type Current library Call number Copy number Status Date due Barcode Item holds
Colección general Colección general Biblioteca Yachay Tech 515.39 B4652h 2011 (Browse shelf(Opens below)) Ej. 1 Available 001771
Colección general Colección general Biblioteca Yachay Tech 515.39 B4652h 2011 (Browse shelf(Opens below)) Ej. 2 Available 001772
Colección general Colección general Biblioteca Yachay Tech 515.39 B4652h 2011 (Browse shelf(Opens below)) Ej. 3 Available 001773
Total holds: 0

Basic Notions of Calculus on Manifolds -- Relations -- Symplectic Relations on Symplectic Manifolds -- Symplectic Relations on Cotangent Bundles -- Canonical Lift on Cotangent Bundles -- The Geometry of the Hamilton–Jacobi Equation -- Hamiltonian Optics in Euclidean Spaces -- Control of Static Systems -- Supplementary Topics -- Global Hamilton Principal Functions on S2 and H2

his 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.

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