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| #4656086 in Books | Birkhäuser | 2004-01-22 | Original language:English | PDF # 1 | 9.21 x.69 x6.14l,1.20 | File type: PDF | 280 pages | ||0 of 0 people found the following review helpful.| a classic|By Oliver|The late Alfred Gray had a unique approach to differential geometry. The idea of thickening a geometric object in an ambient space might appear a bit old fashioned as it is not intrinsic, but it gives some elegant approaches to problems in geometry. I could no more find this book in the library. Glad I could still get a used copy.|||"The new book by Alfred Gray will do much to make Weyl's tube formula more accessible to modern readers. The first five chapters give a careful and thorough discussion of each step in the derivation and its application to the Gauss–Bonnet formula. Gray'
This book expresses the full understanding of Weyl's formula for the volume of a tube, its roots and its implications. Historical notes and Mathematica drawings have been added to this revised second edition.
From the reviews:
"Will do much to make Weyl's tube formula more accessible to modern readers.... A high point is the presentation of estimates for the volumes of tubes in ambient Riemannian manifolds whose curvature is bounded above or below."
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You easily download any file type for your device.Tubes (Progress in Mathematics) | Alfred Gray. A good, fresh read, highly recommended.
