[PDF.97ae] Topological Invariants of Plane Curves and Caustics (University Lecture Series)

Topological Invariants of Plane Curves and Caustics (University Lecture Series)

[PDF.mt64] Topological Invariants of Plane Curves and Caustics (University Lecture Series)

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 | #3498707 in Books |  American Mathematical Society |  1994-07-25 | Original language:English |  10.00 x7.00 x.25l,.33 | File type: PDF | 60 pages

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|| |This book provides an attractive introduction to one of the most exciting and active fields of topology. --Mathematical s

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 a...

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