# Tubes (Progress in Mathematics) by Alfred Gray pdf epub fb2

**Author:**Alfred Gray

**Title:**Tubes (Progress in Mathematics)

**ISBN:**3764369078

**ISBN13:**978-3764369071

**Other Formats:**rtf txt mobi docx

**Pages:**280 pages

**Publisher:**Birkhäuser; 2nd edition (January 22, 2004)

**Language:**English

**Category:**Science & Math

**Size PDF version:**1764 kb

**Size EPUB version:**1262 kb

**Subcategory:**Mathematics

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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."

--BULLETIN OF THE AMS