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Books > Science & Mathematics > Mathematics > Algebra
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The Curve Shortening Problem (Paperback)
Loot Price: R2,080
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The Curve Shortening Problem (Paperback)
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Although research in curve shortening flow has been very active for
nearly 20 years, the results of those efforts have remained
scattered throughout the literature. For the first time, The Curve
Shortening Problem collects and illuminates those results in a
comprehensive, rigorous, and self-contained account of the
fundamental results. The authors present a complete treatment of
the Gage-Hamilton theorem, a clear, detailed exposition of
Grayson's convexity theorem, a systematic discussion of invariant
solutions, applications to the existence of simple closed geodesics
on a surface, and a new, almost convexity theorem for the
generalized curve shortening problem. Many questions regarding
curve shortening remain outstanding. With its careful exposition
and complete guide to the literature, The Curve Shortening Problem
provides not only an outstanding starting point for graduate
students and new investigations, but a superb reference that
presents intriguing new results for those already active in the
field.
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