幾何学ＩＩ Geometry II (Universitext) （1st ed. 1987. Corr. 2nd printing）

Berger, Marcel

Springer（1987/01発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 406 p.／サイズ 364 illus
• 商品コード 9783540170150

基本説明

The second part of the 2-volume textbook Geometry which provides a readable and lively presentation of large parts of geometry in the classical sense.
An attractive characteristic of the book is that it appeals systematically to the reader's intuition and vision, and illustrates the mathematical text with many figures. Translated from the French by M. Cole and S. Levy.

Full 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.

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.