Buch, Englisch, 280 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 458 g
Reihe: Progress in Mathematics
Buch, Englisch, 280 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 458 g
Reihe: Progress in Mathematics
ISBN: 978-3-0348-9639-9
Verlag: Birkhäuser Basel
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
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
