Artículo: AMZ-0521248663

Symplectic Techniques in Physics

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Symplectic geometry is very useful for formulating clearly and concisely problems in classical physics and also for understanding the link between classical problems and their quantum counterparts. It is thus a subject of interest to both mathematicians and physicists, though they have approached the subject from different viewpoints. This is the first book that attempts to reconcile these approaches. The authors use the uncluttered, coordinate-free approach to symplectic geometry and classical mechanics that has been developed by mathematicians over the course of the past thirty years, but at the same time apply the apparatus to a great number of concrete problems. Some of the themes emphasized in the book include the pivotal role of completely integrable systems, the importance of symmetries, analogies between classical dynamics and optics, the importance of symplectic tools in classical variational theory, symplectic features of classical field theories, and the principle of general covariance.

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Symplectic Techniques in Physics

Lectures on Symplectic Geometry (Lecture Notes in Mathematics, 1764)

Introduction to Symplectic Topology (Oxford Graduate Texts in Mathematics)

Symplectic Techniques in Physics

First Steps in Differential Geometry: Riemannian, Contact, Symplectic (Undergraduate Texts in Mathematics)

Symplectic and Contact Geometry: A Concise Introduction (Latin American Mathematics Series)

Symplectic Geometry

Symplectic Invariants and Hamiltonian Dynamics (Birkhäuser Advanced Texts Basler Lehrbücher)

$J$-holomorphic Curves and Symplectic Topology (Colloquium Publications)

Symplectic and Contact Geometry: A Concise Introduction (Latin American Mathematics Series)

Symplectic 4-Manifolds and Algebraic Surfaces: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 2-10, 2003 (C.I.M.E. Foundation Subseries)

Introduction to Symplectic Geometry

Elementary Symplectic Topology and Mechanics (Lecture Notes of the Unione Matematica Italiana, 16)

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Symplectic Techniques in Physics

Otros Productos

Lectures on Symplectic Geometry (Lecture Notes in Mathematics, 1764)

Introduction to Symplectic Topology (Oxford Graduate Texts in Mathematics)

Symplectic Techniques in Physics

First Steps in Differential Geometry: Riemannian, Contact, Symplectic (Undergraduate Texts in Mathematics)

Symplectic and Contact Geometry: A Concise Introduction (Latin American Mathematics Series)

Symplectic Geometry

Symplectic Invariants and Hamiltonian Dynamics (Birkhäuser Advanced Texts Basler Lehrbücher)

$J$-holomorphic Curves and Symplectic Topology (Colloquium Publications)

Symplectic and Contact Geometry: A Concise Introduction (Latin American Mathematics Series)

Symplectic 4-Manifolds and Algebraic Surfaces: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 2-10, 2003 (C.I.M.E. Foundation Subseries)

Introduction to Symplectic Geometry

Elementary Symplectic Topology and Mechanics (Lecture Notes of the Unione Matematica Italiana, 16)

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