Alfred Gray
Birkhäuser Basel
2e druk, 2003
9783764369071
Tubes
Specificaties
Gebonden, 280 blz.
|
Engels
Birkhäuser Basel |
2e druk, 2003
ISBN13: 9783764369071
Rubricering
Onderdeel van serie
Progress in Mathematics
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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
Specificaties
ISBN13:9783764369071
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:280
Uitgever:Birkhäuser Basel
Druk:2
Serie:Progress in Mathematics
Inhoudsopgave
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.