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Description
Differential GeometryThis is a text of local differential geometry considered as an application of advanced calculus and linear algebra. The discussion is designed for advanced undergraduate or beginning graduate study, and presumes of readers only a fair knowledge of matrix algebra and of advanced calculus of functions of several real variables. The author, who is a Professor of Mathematics at the Polytechnic Institute of New York, begins with a discussion of plane
This is a text of local differential geometry considered as an application of advanced calculus and linear algebra. The discussion is designed for advanced undergraduate or beginning graduate study, and presumes of readers only a fair knowledge of matrix algebra and of advanced calculus of functions of several real variables.The author, who is a Professor of Mathematics at the Polytechnic Institute of New York, begins with a discussion of plane geometry and then treats the local theory of Lie groups and transformation groups, solid differential geometry, and Riemannian geometry, leading to a general theory of connections.
The author presents a full development of the Erlangen Program in the foundations of geometry as used by Elie Cartan as a basis of modern differential geometry; the book can serve as an introduction to the methods of E. Cartan. The theory is applied to give a complete development of affine differential geometry in two and three dimensions.
Although the text deals only with local problems (except for global problems that can be treated by methods of advanced calculus), the definitions have been formulated so as to be applicable to modern global differential geometry. The algebraic development of tensors is equally accessible to physicists and to pure mathematicians. The wealth of specific resutls and the replacement of most tensor calculations by linear algebra makes the book attractive to users of mathematics in other disciplines.
Binding Type: Paperback
Publisher: Dover Publications
Published: 06/01/1977
ISBN: 9780486634333
Pages: 400
Weight: 0.93lbs
Size: 8.24h x 5.62w x 0.77d
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Comfort!
Size: One Size, Color: (100) White / White / Halo Gray
Very comfortable! Thinner than the picture shows, but I like the fact that they are no show but still higher in the back and front to protect my heels and such.
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Reviewed in the United States on September 6, 2025
★★★★★ 1
Sizing way off
Size: One Size, Color: (100) White / White / Halo Gray
These were my favorite socks, at least the old style was. They redid them and I was okay with it. However, I don't understand how they are a one size fits most. I tried them on and they were still too big at the top. There was so much extra fabric at the toes. For reference, I wear a size 8.5 women's shoe, typically. The packaging says fits most from size 5.5 to 12. I don't understand how it fits that wide range of shoe size. Definitely returning these and I will be buying something else.
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Reviewed in the United States on October 10, 2024
★★★★★ 5
Genial
Size: One Size, Color: (015) Tetra Gray / Gray Matter / White Quartz
Me encanta la textura y sobre todo que tiene para que siempre sepas en cuál pies va!
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Reviewed in the United States on August 29, 2025
★★★★★ 5
Comfortable
Size: One Size, Color: (348) Silica Green / White / Titan Gray
Comfortable and stays in place
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Reviewed in the United States on May 27, 2025
★★★★★ 5
Best socks for work or working out.
Size: One Size, Color: (015) Tetra Gray / Gray Matter / White Quartz
Great socks. They stay on your heel! Love the material; breathable and not thick. Love the neutral tone colors.
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Reviewed in the United States on January 1, 2025