Geometries and Groups (Universitext)

Description

This is a quite exceptional book, a lively and approachable treatment of an important field of mathematics given in a masterly style. Assuming only a school background, the authors develop locally Euclidean geometries, going as far as the modular space of structures on the torus, treated in terms of Lobachevsky's non-Euclidean geometry. Each section is carefully motivated by discussion of the physical and general scientific implications of the mathematical argument, and its place in the history of mathematics and philosophy. The book is expected to find a place alongside classics such as Hilbert and Cohn-Vossen's "Geometry and the imagination" and Weyl's "Symmetry".

First Sentence

Many of the most outstanding achievements of geometry are based on the surprising circumstance that geometrical intuition, formed in some areas, turns out to be applicable in other, sometimes quite dissimilar, areas.

Subjects

Other Editions

• Geometries and Groups (Universitext)PaperbackSpringer2002-06-21
• Geometries and GroupsSpringer2012-01-01