Buch, Englisch, 374 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1610 g
Buch, Englisch, 374 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1610 g
Reihe: Graduate Texts in Mathematics
ISBN: 978-0-387-94755-6
Verlag: Springer
The book is an introduction to the theory of convex polytopes and polyhedral sets, to algebraic geometry, and to the connections between these fields, known as the theory of toric varieties. The first part of the book covers the theory of polytopes and provides large parts of the mathematical background of linear optimization and of the geometrical aspects in computer science. The second part introduces toric varieties in an elementary way.
Zielgruppe
Graduate
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
1 Combinatorial Convexity.- I. Convex Bodies.- II. Combinatorial theory of polytopes and polyhedral sets.- III. Polyhedral spheres.- IV. Minkowski sum and mixed volume.- V. Lattice polytopes and fans.- 2 Algebraic Geometry.- VI. Toric varieties.- VII. Sheaves and projective toric varieties.- VIII. Cohomology of toric varieties.- Appendix Comments, historical notes, further exercises, research problems, suggestions for further reading.- References.- List of Symbols.
