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Topological Invariants of Plane Curves and Caustics
Language: en
Pages: 70
Authors: Vladimir Igorevich Arnolʹd
Categories: Mathematics
Type: BOOK - Published: 1994 - Publisher: American Mathematical Soc.

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This book describes recent progress in the topological study of plane curves. The theory of plane curves is much richer than knot theory, which may be considere
Differential and Symplectic Topology of Knots and Curves
Language: en
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Authors: Serge Tabachnikov
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Type: BOOK - Published: 1999 - Publisher: American Mathematical Soc.

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This book presents a collection of papers on two related topics: topology of knots and knot-like objects (such as curves on surfaces) and topology of Legendrian
Hamiltonian Systems with Three or More Degrees of Freedom
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Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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A survey of current knowledge about Hamiltonian systems with three or more degrees of freedom and related topics. The Hamiltonian systems appearing in most of t
Topological Methods in Hydrodynamics
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Authors: Vladimir I. Arnold
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The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view.
Topology and Physics
Language: en
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Authors: Kevin Lin
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This unique volume, resulting from a conference at the Chern Institute of Mathematics dedicated to the memory of Xiao-Song Lin, presents a broad connection betw