Download the Free Fishpond App!
Download on the App Store

Android App on Google play

Already own it?

Sell Yours
Home » Books » Science » Mathematics » Geometry » General

Tubes

Progress in Mathematics

By Alfred Gray

$172  
Price includes NZ wide delivery!
Ships from UK
Rating:
 
Register or sign-in to rate and get recommendations.
Format: Hardcover, 280 pages, 2nd Edition
Other Information: Illustrated
Published In: Switzerland, 27 November 2003
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.

Promotional Information

2nd edition

Table of Contents

1 An Introduction to Weyl's Tube Formula.- 3 The Riccati Equation for Second Fundamental Forms.- 4 The Proof of Weyl's Tube Formula.- 5 The Generalized Gauss-Bonnet Theorem.- 6 Chern Forms and Chern Numbers.- 7 The Tube Formula in the Complex Case.- 8 Comparison Theorems for Tube Volumes.- 9 Power Series Expansions for Tube Volumes.- 10 Steiner's Formula.- 11 Mean-value Theorems.- Appendix A.- A.2 Moments.- A.3 Computation of the Volume of a Geodesic Ball.- Appendix B.- Notation Index.- Name Index.

EAN: 9783764369071
ISBN: 3764369078
Publisher: Birkhauser Basel
Dimensions: 23.11 x 15.49 x 2.29 centimetres (0.54 kg)
Age Range: 15+ years

Reviews

"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)

Tell a friend

Their Email:

Sell Yours

Already own this item?
Sell Yours and earn some cash. It's fast and free to list! (Learn More.)

Review this Product

BAD GOOD
 

Related Searches

 

Webmasters, Bloggers & Website Owners

You can earn a 5% commission by selling Tubes (Progress in Mathematics) on your website. It's easy to get started - we will give you example code. After you're set-up, your website can earn you money while you work, play or even sleep!

 

Authors/Publishers

Are you the Author/Publisher? Improve sales by submitting additional information on this title.

 

This item ships from and is sold by Fishpond World Ltd.