Discrete geometry investigates combinatorial properties of
configurations of geometric objects. Its development in recent years has
been stimulated by applications in combinatorial optimization and
computational geometry. To a working mathematician or computer
scientist, it offers sophisticated results and techniques of great
diversity. This book is primarily a textbook introduction to various
areas of discrete geometry. In each area, it explains several key
results and techniques, in an accessible and concrete manner. The book
also contains more advanced material in separate sections and thus it
can also serve as a collection of up-to-date surveys in