Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Differential Geometry of Curves and Surfaces with Singularities

Differential Geometry of Curves and Surfaces with Singularities

Umehara, Masaaki
Saji, Kentaro
Yamada, Kotaro

Hardcover

Series: Algebraic & Differential Geometry, Book 1

General MathematicsGeometry

ISBN10: 9811237131
ISBN13: 9789811237133
Publisher: World Scientific Publishing Company
Published: Dec 20 2021
Pages: 388
Weight: 1.51
Height: 0.88 Width: 6.00 Depth: 9.00
Language: English

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 research by the authors, the Gauss-Bonnet theorem for surfaces is generalized to those with singularities. The Gauss-Bonnet theorem is intrinsic in nature, that is, it is a theorem not only for surfaces but also for 2-dimensional Riemannian manifolds. The book also elucidates the notion of Riemannian manifolds with singularities.

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