Unsolved Problems in Geometry: Unsolved Problems in Intuitive Mathematics

✍ Scribed by Hallard T. Croft, Kenneth J. Falconer, Richard K. Guy (auth.)

• Publisher: Springer-Verlag New York
• Year: 1991
• Tongue: English
• Leaves: 213
• Series: Problem Books in Mathematics 2
• Edition: 1
• Category: Library

✦ Synopsis

Mathematicians and non-mathematicians alike have long been fascinated by geometrical problems, particularly those that are intuitive in the sense of being easy to state, perhaps with the aid of a simple diagram. Each section in the book describes a problem or a group of related problems. Usually the problems are capable of generalization of variation in many directions. The book can be appreciated at many levels and is intended for everyone from amateurs to research mathematicians.

✦ Table of Contents

Front Matter....Pages i-xv
Notation and Definitions....Pages 1-5
Convexity....Pages 6-47
Polygons, Polyhedra, and Polytopes....Pages 48-78
Tiling and Dissection....Pages 79-106
Packing and Covering....Pages 107-130
Combinatorial Geometry....Pages 131-148
Finite Sets of Points....Pages 149-167
General Geometric Problems....Pages 168-184
Back Matter....Pages 185-199

✦ Subjects

Geometry