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Topological Invariants of Plane Curves and Caustics (University Lecture Series)
Arnold
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Description for Topological Invariants of Plane Curves and Caustics (University Lecture Series)
Paperback. The theory of plane curves is much richer than knot theory, which may be considered the commutative version of the theory of plane curves. This study is based on singularity theory: the infinite-dimensional space of curves is subdivided by the discriminant hypersurfaces into parts consisting of generic curves of the same type. Series: University Lecture Series. Num Pages: 60 pages, Illustrations. BIC Classification: PBMP; PBP; PBV. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 253 x 180 x 5. Weight in Grams: 148.
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 considered the commutative version of the theory of plane curves. This study is based on singularity theory: the infinite-dimensional space of curves is subdivided by the discriminant hypersurfaces into parts consisting of generic curves of the same type. The invariants distinguishing the types are defined by their jumps at the crossings of these hypersurfaces.Arnold describes applications to the geometry of caustics and of wavefronts in symplectic and contact geometry. These applications extend the classical ... Read more
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 considered the commutative version of the theory of plane curves. This study is based on singularity theory: the infinite-dimensional space of curves is subdivided by the discriminant hypersurfaces into parts consisting of generic curves of the same type. The invariants distinguishing the types are defined by their jumps at the crossings of these hypersurfaces.Arnold describes applications to the geometry of caustics and of wavefronts in symplectic and contact geometry. These applications extend the classical ... Read more
Product Details
Format
Paperback
Publication date
1994
Publisher
American Mathematical Society
Condition
New
Series
University Lecture Series
Number of Pages
60
Place of Publication
Providence, United States
ISBN
9780821803080
SKU
V9780821803080
Shipping Time
Usually ships in 5 to 9 working days
Ref
99-3
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