Geometry
Author(s)
Bibliographic Information
Geometry
（Universitext）
Springer-Verlag, 1994-1996, c1987
Corr. 2nd print
- 1 : gw
- 1 : us
- 2 : gw
- Other Title
-
Géométrie
Related Bibliography 1 items
Available at 11 libraries
-
Berlin : v. 1414//B38//665415100166535,15100166543,
Berlin : v. 2414//B38//665615100166550,15100166568 -
Library & Science Information Center, Osaka Prefecture University
1 : us3000067115,
2 : gw3000067116
Note
Includes bibliographical references and indexes
Description and Table of Contents
- Volume
-
1 : gw ISBN 9783540116585
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.
- Volume
-
2 : gw ISBN 9783540170150
Description
This is the second of a two-volume textbook that provides a very readable and lively presentation of large parts of geometry in the classical sense. For each topic the author presents a theorem that is esthetically pleasing and easily stated, although the proof may be quite hard and concealed. Yet another strong trait of the book is that it provides a comprehensive and unified reference source for the field of geometry in the full breadth of its subfields and ramifications.
Table of Contents
- Polytopes
- compact convex sets.- Quadratic forms.- Projective quadrics.- Affine quadrics.- Projective conics.- Euclidean conics.- The sphere for its own sake.- Elliptic and hyperbolic geometry.- The space of spheres.
by "Nielsen BookData"