Geometric Etudes in Combinatorial Mathematics

• Main Author: Soifer, Alexander (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Edition: Second.
• Subjects: Mathematics.; Algebra.; Geometry.; Combinatorics.

The etudes presented here are not simply those of Czerny, but are better compared to the etudes of Chopin, not only technically demanding and addressed to a variety of specific skills, but at the same time possessing an exceptional beauty that characterizes the best of art... Keep this book at hand...

Table of Contents:

• ORIGINAL ETUDES
• Tiling a Checker Rectangle
• Proofs of Existence
• A Word About Graphs
• Ideas of Combinatorial Geometry
• NEW LANDSCAPE, OR THE VIEW 18 YEARS LATER
• Mitya Karabash and a Tiling Conjecture
• Norton Starr’s 3-Dimensional Tromino Tiling
• Large Progress in Small Ramsey Numbers
• The Borsuk Problem Conquered
• Etude on the Chromatic Number of the Plane.