Tubes
By: by Alfred Gray
Edition: Second Edition.
Series: Progress in Mathematics -- 221; Progress in Mathematics -- 221
Publisher: Birkhäuser Basel; Imprint: Birkhäuser
Published: 2004
Place of publication: Basel
Language: eng
Format: [electronic resource] /
Number of pages: 280
ISBN-13: 9783034896399; 9783034879668
Subjects: Geometry; Mathematics; Global differential geometry
Description: The main subject of the book is the full understanding of Weyl's formula for the volume of a tube, its roots and its implications. Another discussed approach to the study of volumes of tubes is the computation of the power series of the volume of a tube as a function of its radius. The chapter on mean values, besides its intrinsic interest, shows an interesting fact: methods which are useful for volumes are also useful for problems related with the Laplacian. Historical notes and Mathematica drawings have been added to this revised second edition.
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