Configurations of Points and Lines

by Branko Grünbaum

Overview

This is the only book on the topic of geometric configurations of points and lines. It presents in detail the history of the topic, with its surges and declines since its beginning in 1876. It covers all the advances in the field since the revival of interest in geometric configurations some 20 years ago. The author's contributions are central to this revival. In particular, he initiated the study of 4-configurations (that is, those that contain four points on each line, and four lines through each point); the results are fully described in the text. The main novelty in the approach to all geometric configurations is the concentration on their symmetries, which make it possible to deal with configurations of rather large sizes. The book brings the readers to the limits of present knowledge in a leisurely way, enabling them to enjoy the material as well as entice them to try their hand at expanding it.

Product Details

ISBN-13:	9780821843086
Publisher:	American Mathematical Society
Publication date:	05/15/2009
Series:	Graduate Studies in Mathematics Series , #103
Pages:	399
Product dimensions:	7.20(w) x 10.20(h) x 1.00(d)