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
"synopsis" may belong to another edition of this title.
"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's pace is quite leisurely, and a gradualte student who has completed a basic differential geometry course will have little difficulty following the presentation.
In the remaining chapters of the book, one can find an extension of Weyl's tube formula to complex submanifolds of complex projective space, power series expansions for tube volumes, and the 'half-tube formula' for hypersurfaces. 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 (Review of the First Edition)
"About this title" may belong to another edition of this title.
Seller: Books From California, Simi Valley, CA, U.S.A.
hardcover. Condition: Good. Ex-library copy with usual markings. Seller Inventory # mon0004235664
Seller: Emile Kerssemakers ILAB, Heerlen, Netherlands
24 x 16.5 cm, hardcover, xii, 284 pages, Text in English, very good condition, see picture. Monograph on the geometry of tubes and tubular hypersurfaces, combining results from Riemannian geometry and differential topology. Includes numerous figures and mathematical derivations. 620g. Seller Inventory # 81097
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Seller: Zubal-Books, Since 1961, Cleveland, OH, U.S.A.
Condition: Very Good. 283 pp., Hardcover, minor library markings else text clean & binding tight. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Seller Inventory # ZB1345580
Seller: Stella & Rose's Books, PBFA, Tintern, MON, United Kingdom
Hardback. Condition: Fine. No Jacket. First edition. 1st USA 1990. Fine condition with no wrapper. Glazed pictorial boards. This book is a revised version of notes for a course that the author gave during the spring of 1985 at the University of Santiago. Packaged with care and promptly dispatched! Seller Inventory # 2121182
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Hardcover. Condition: Very Good. Very Good. Dust Jacket may NOT BE INCLUDED.CDs may be missing. SHIPS FROM MULTIPLE LOCATIONS. book. Seller Inventory # ERICA82902011567683
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