SKU: 93471353681

Differential Geometry of Curves & Surfaces with Singularitie

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Differential Geometry of Curves & Surfaces with SingularitieThis 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

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.

 

These topics, as well as elementary descriptions of proofs of the recognition theorems, cannot be found in other books. Explicit examples and models are provided in abundance, along with insightful explanations of the underlying theory as well. Numerous figures and exercise problems are given, becoming strong aids in developing an understanding of the material.

 

Readers will gain from this text a unique introduction to the singularities of curves and surfaces from the viewpoint of differential geometry, and it will be a useful guide for students and researchers interested in this subject.

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SKU: 93471353681

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Bob T.
Lexington, US
★★★★★ 5
Quality product, the double netting is great compared to single
Size: Doube Layer
It is a double net. It holds items down and is really stretchy which is great. Feels strong and has multiple carabiners/loops to tie down whatever you are hauling.
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Reviewed in the United States on March 26, 2024
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Curtis Conley
Lowell, US
★★★★★ 5
Works great
Size: Doube Layer
Works great, love it.
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Reviewed in the United States on October 4, 2025
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Nina
Lexington, US
★★★★★ 5
Compact, stretches over loads, wish it had a bag.
Size: Doube Layer
I am giving the double layer netted version of this product, for my uses, a 5 star, though there are two negatives to consider up front. 1. There is no storage bag included. 2. And the 6 caribeaners included are too cheezie to trust. Yes, the caribeaners will hold the net, and I assume your heavy loads will be strapped down before netting it. So I did install them in the straps just because. Bur I'll be putting the thick straps around the edge over bed hooks. I can't speak on how the single layer net would work, but you really will think after getting the double layer, that was the right choice. The mesh is tightly made and should hold even the messiness bag of trash in your truck bed from blowing out if you get the double layer. When you stretch the net out, it does act like a membrane, so you need several hooks around your bed or trailer. It stretched tightly around 5.5 x 7.5 1975 Datson pickup bed trailer. As you remember these beds have hooks all the way around and a curled lip surrounding the top. So this is perfect for full edge coverage. But if you have few hooks, the net will pull inward between the points lile a membrane would. If you need a stiff heavy duty throw over style net, this is not it. After hooked down, there is a great amount of stretch to cover good sized loads. This net is also excellent for containing a tarp covered load, keeping the tarp from coming loose and flapping around in the wind which is always a challenge on long trips. Also it will help contain brush and trash so that ENCON won't ticket you for uncovered loads. Light weight, easy to use, and it should hold up well for the price. Use one of those left over Ryobe tool bags you have laying around, and some better dollar-store caribeaners, and you'll be ser!
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Reviewed in the United States on August 18, 2023
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Johnny Bailey
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Fit great
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I love my truck bed net. It has been very useful in keeping my items secure in the bed of my truck.
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Eric Matos
Charlottesville, US
★★★★★ 4
Good use on my Nissan Titan
Size: Doube Layer
Very good hold down for my Nissan Titan good price very reliable
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Reviewed in the United States on May 23, 2025

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