DIFFERENTIAL GEOMETRY OF CURVES & SURFACES WITH SINGULARITIE
Umehara Masaaki
Gebundenes Buch

DIFFERENTIAL GEOMETRY OF CURVES & SURFACES WITH SINGULARITIE

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This book provides a unique and highly accessible approach to singularity theory from the perspective of differential geometry of curves and surfaces. It is written by three leading experts on the interplay between two important fields - singularity theory and differential geometry. The book introduces singularities and their recognition theorems, and describes their applications to geometry and topology, restricting the objects of attention to singularities of plane curves and surfaces in the Euclidean 3-space. In particular, by presenting the singular curvature, which originated through rese...