Geometry
Author(s)
Bibliographic Information
Geometry
(Universitext)
Springer-Verlag, 2004, c1987
Corr. 3rd print
- 1 : gw
- Other Title
-
Géométrie
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Note
"Title of the original Frenchi edition: Géométrie(Vols. 1-5). Published by CEDIC and Fernand Nathan, paris. c CEDIC and Fernand Nathan, paris 1977"--T.p. verso
Includes bibliographical references and indexes
Description and Table of Contents
Description
Volume I of this 2-volume textbook provides a lively and readable presentation of large parts of classical geometry. For each topic the author presents an esthetically pleasing and easily stated theorem - although the proof may be difficult and concealed. The mathematical text is illustrated with figures, open problems and references to modern literature, providing a unified reference to geometry in the full breadth of its subfields and ramifications.
Table of Contents
- Notation and background.- Group actions: examples and applications.- Affine spaces.- Barycenters
- the universal space.- Projective spaces.- Affine-projective relationship: applications.- Projective lines, cross-ratios, homographies.- Complexifications.- Euclidean vector spaces.- Euclidean affine spaces.- Triangles, spheres and circles.- Convex sets.
by "Nielsen BookData"