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" Web theory and related topics / "
edited by Joseph Grifone, Eliane Salem.
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BL
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| Record Number
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1030495
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| Doc. No
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b784865
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| Title & Author
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Web theory and related topics /\ edited by Joseph Grifone, Eliane Salem.
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| Publication Statement
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Singapore ;River Edge, N.J. :: World Scientific,, ©2001.
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| Page. NO
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1 online resource (vii, 234 pages) :: illustrations
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| ISBN
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1281934526
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: 6611934529
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: 9781281934529
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: 9786611934521
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: 9789812794581
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: 9812794581
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9789810246044
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9810246048
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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A naive guide to web geometry / I. Nakai -- An introduction to web geometry. Analytic web geometry / A. Henaut -- Webs and curvature / P.T. Nagy -- Recent developments. Conformal flows on [symbol] and hexagonal 3-webs / M. Belliart, I. Liousse and F. Loray -- Rigidity of webs / J.-P. Dufour -- Resonant geometric optics and webs / J.-L. Joly, G. Metivier and J. Rauch -- Introduction to G-structures via three examples / J.M. Landsberg -- Web geometry and the equivalence problem of the first order partial differential equations / I. Nakai -- Veronese webs and transversally Veronese foliations / M.-H. Rigal -- A three-dimensional lagrangian four-web with no abelian relation / G.F. Robert.
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| Abstract
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This book provides an overview of recent developments in web theory. Webs (ie. families of foliations in general position) appear in many different fields of mathematics (differential geometry, algebraic geometry, differential equations, symplectic geometry etc.) and physics (mechanics, geometrical optics etc.). After giving a survey on webs in differential geometry and algebraic geometry, the book presents new results on partial differential equations, integrable systems, holomorphic dynamics and nonlinear optics obtained through web theory.
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| Subject
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Geometry, Differential.
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| Subject
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Webs (Differential geometry)
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Geometry, Differential.
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MATHEMATICS-- Geometry-- Differential.
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| Subject
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Webs (Differential geometry)
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| Dewey Classification
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516.3/6
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| LC Classification
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QA648.5.W43 2001eb
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| Added Entry
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Grifone, J.
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Salem, Eliane.
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