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Description
Differential Geometry of Curves and Surfaces: Revised and Updated Second EditionOne of the most widely used texts in its field, this volume introduces the differential geometry of curves and surfaces in both local and global aspects. The presentation departs from the traditional approach with its more extensive use of elementary linear algebra and its emphasis on basic geometrical facts rather than machinery or random details. Many examples and exercises enhance the clear, well written exposition, along with hints and answers to
One of the most widely used texts in its field, this volume introduces the differential geometry of curves and surfaces in both local and global aspects. The presentation departs from the traditional approach with its more extensive use of elementary linear algebra and its emphasis on basic geometrical facts rather than machinery or random details. Many examples and exercises enhance the clear, well-written exposition, along with hints and answers to some of the problems.The treatment begins with a chapter on curves, followed by explorations of regular surfaces, the geometry of the Gauss map, the intrinsic geometry of surfaces, and global differential geometry. Suitable for advanced undergraduates and graduate students of mathematics, this text's prerequisites include an undergraduate course in linear algebra and some familiarity with the calculus of several variables. For this second edition, the author has corrected, revised, and updated the entire volume.
Binding Type: Paperback
Publisher: Dover Publications
Published: 12/14/2016
ISBN: 9780486806990
Pages: 528
Weight: 1.55lbs
Size: 8.90h x 5.90w x 1.10d
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★★★★★ 5
Micro-needling effect!
Color: Cyano Pink Spicule
Love how you can feel the micro-needling effect. I use this is my first application after toning and follow up with my serum and moisturizing routine. I do believe it gives my face a plump feeling, especially after gua sha. Will continue to use in my daily!
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Reviewed in the United States on May 21, 2026
★★★★★ 4
Helps my moisturizer absorb better
Color: Cyano Pink Spicule
I’m not quite sure if the product is fully working the way it is supposed to but I do like that when I use this and the apply moisturizer, it absorbs into my skin better and leaves my skin smoother and a lot less greasy. It’s easy to throw in my travel bag because of the size and you really only just need a little for each use so it goes a long way got the cost.
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Reviewed in the United States on May 31, 2026
★★★★★ 5
Amazing!
Color: Cyano Pink Spicule
This makes my skin feel so smooth. The appearance of my skin also is starting to look a lot better/younger. I've been using it for a week and a half already seeing changes.
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Reviewed in the United States on May 11, 2026
★★★★★ 3
Brightens, doesn't firm
Color: Cyano Pink Spicule
I've been using this for about a month now, every night on my face and neck, hoping to reduce the appearance of wrinkles and tighten some of my skin in that area that seems to be losing elasticity. On my neck, I've honestly noticed no real difference in 4 weeks of continued, consistent daily use. The skin on my face does seem brighter and somewhat less textured than before, but I haven't noticed any change in the issues I was hoping this would resolve, based on the claims and how it was marketed. So... not a bad addition to my skincare, but not the solution I was looking for.
Some have expressed concerns about it tingling or stinging... You can feel something when you apply it, it's almost like the feeling of static electricity, but it's very mild. I wouldn't let that stop you from giving it a try if you were concerned about it. It didn't cause my sensitive skin any breakouts or redness (although I was applying it at night before bed, so perhaps any redness was calmed overnight). I'm going to go ahead and finish the bottle, but based on these results, I probably won't repurchase.
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Reviewed in the United States on May 3, 2026
★★★★★ 4
Decent Product
Color: Cyano Pink Spicule
Not bad for the $ , it makes my skin feel good.
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Reviewed in the United States on May 24, 2026
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