Flavors of GeometryFlavors of Geometry is a volume of lectures on four geometrically influenced fields of mathematics that have experienced great development in recent years. Growing out of a series of introductory lectures given at the Mathematical Sciences Research Institute in January 1995 and January 1996, the book presents chapters on hyperbolic geometry, dynamics in several complex variables, convex geometry, and volume estimation, by masters in their respective fields. Each lecture begins with a discussion of elementary concepts, examines the highlights of the field, and concludes with a look at more advanced material. The style and presentation of the chapters are clear and accessible, and most of the lectures are richly illustrated. Bibliographies and indexes are included to encourage further reading on the topics discussed. These lectures are an excellent starting place for graduate students and will also interest researchers wanting a "flavor" of new developments in geometry. |
Τι λένε οι χρήστες - Σύνταξη κριτικής
Δεν εντοπίσαμε κριτικές στις συνήθεις τοποθεσίες.
Περιεχόμενα
An Elementary Introduction to Modern Convex Geometry | 1 |
Hyperbolic Geometry | 59 |
Complex Dynamics in Several Variables | 117 |
Volume Estimates and Rapid Mixing | 151 |
| 183 | |
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
affine transformation algorithm angles apply approximation assume ball boundary bounded called close complex condition consider constant contained convex body cube defined definition denote describe diffeomorphisms dimension direction disk distance distribution dynamics ellipsoid equal equivalent estimate Euclidean example extend fact Figure fixed function geodesic geometry give given graph half-space Hence horseshoe hyperbolic hyperbolic space implies inequality infinity inner integral intersection isometry isoperimetric least Lecture length linear manifolds Math Mathematical maximal measure metric norm Note oracle origin orthogonal path plane polynomial positive probability problem projection proof prove question radius random walk ratio result Riemannian Rn+1 satisfies sequence simple slice space sphere spherical structure symmetric tangent theorem theory topological transformation triangle unit variables vector vertical volume
Δημοφιλή αποσπάσματα
Σελίδα 177 - I. Barany and Z. Fiiredi. Computing the volume is difficult. Discrete Comput. Geom., 2:319-326, 1987.
Πληροφορίες βιβλιογραφίας
| Τίτλος | Flavors of Geometry Τόμος 31 του Mathematical Sciences Research Institute Berkeley, Calif: Mathematical Sciences Research Institute publications Τόμος 31 του Mathematical Sciences Research Institute Publications, ISSN 0940-4740 |
| Επιμελητής | Silvio Levy |
| Έκδοση | εικονογραφημένη |
| Εκδότης | Cambridge University Press, 1997 |
| ISBN | 0521629624, 9780521629621 |
| Μέγεθος | 194 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |