The cube: a window to convex and discrete geometry
Chuanming Zong
Eight topics about the unit cubes are introduced within this textbook: cross sections, projections, inscribed simplices, triangulations, 0/1 polytopes, Minkowski's conjecture, Furtwangler's conjecture, and Keller's conjecture. In particular Chuanming Zong demonstrates how deep analysis like log concave measure and the Brascamp-Lieb inequality can deal with the cross section problem, how Hyperbolic Geometry helps with the triangulation problem, how group rings can deal with Minkowski's conjecture and Furtwangler's conjecture, and how Graph Theory handles Keller's conjecture.
Κατηγορίες:
Έτος:
2006
Έκδοση:
CTM0168, CUP
Εκδότης:
Cambridge University Press
Γλώσσα:
english
Σελίδες:
186
ISBN 10:
0521855357
ISBN 13:
9780521855358
Σειρές:
Cambridge Tracts in Mathematics
Αρχείο:
DJVU, 1.36 MB
IPFS:
,
english, 2006