Geometric Etudes in Combinatorial Mathematics

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...

Full description

Bibliographic Details
Main Author: Soifer, Alexander. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic
Language:English
Published: New York, NY : Springer New York, 2010.
Edition:Second.
Subjects:
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-75470-3
Table of Contents:
  • Forewords
  • Preface to the Second Edition
  • Preface to the First Edition
  • Part I: Original Etudes
  • Tiling a Checker Rectangle
  • Proofs of Existence
  • A Word About Graphs
  • Ideas of Combinatorial Geometry
  • Part II: New Landscape or the View 18 Years Later
  • Mitya Karabash on a Tiling Conjecture
  • Norton Starr's Three-Dimensional Tromino Tiling
  • Large Progress in Small Ramsey Numbers
  • The Borsuk Problem Conquered
  • Etude on the Chromatic Number of the Plane
  • Farewell to the Reader
  • Bibliography
  • Notation.-Index.