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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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★★★★★ 2
Bad holes
Poles 1 and 2 don't click together due to poorly drilled holes, the clicker and the predrilled holes don't line up, really should return, but it's for outside, may try to fix the holes with a drill
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Reviewed in the United States on May 18, 2025
★★★★★ 5
Quick and easy assembly
This room divider is quick and easy to assemble, and does a great job at providing coverage with its large dimensions. The construction is sturdy and the divider material provides great privacy. This divider is relatively lightweight but despite just the two legs and somewhat large size, it's quite stable.
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Reviewed in the United States on May 23, 2025
★★★★★ 5
Quickly Assemble
This can quickly be assembled. It has a sturdy metal frame and the fabric is thicker and you cannot see through it.
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Reviewed in the United States on April 4, 2025
★★★★★ 4
Decent Divider/Backdrop from the price.
This divider w tricky to put together with some of the parts not seeming to fit well, but it DID go together with some effort and patience. The backdrop material is thin and while not the best quality doors what it’s supposed to do. I like the neutral gray color as it t blends with everything. I can also hang other backdrops from the frame. Overall very pleased with this.
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Reviewed in the United States on May 12, 2025
★★★★★ 1
Poorly manufactured
Holes do not align for assembly. Item returned.
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Reviewed in the United States on August 20, 2025