コクセター著／射影幾何学（第２版） Projective Geometry （2nd ed. repr. 2003. XII, 162 p. w. 71 ill. 24,5 cm）

コクセター著／射影幾何学（第２版）<br>Projective Geometry （2nd ed. repr. 2003. XII, 162 p. w. 71 ill. 24,5 cm）

コクセター著／射影幾何学（第２版）
Projective Geometry （2nd ed. repr. 2003. XII, 162 p. w. 71 ill. 24,5 cm）

Coxeter, Harold S. M.

SPRINGER, BERLIN（2003発売）

ただいまウェブストアではご注文を受け付けておりません。 ⇒古書を探す

製本 Paperback:紙装版/ペーパーバック版／ページ数 162 p.
商品コード 9780387406237

基本説明

Originally published by Blaisdell Publishing, 1964 and The University of Toronto Press, 1974. The first chapters introduce the important concepts and provide the logical foundations. The third and fourth chapters introduce the famous theorems of Desargues and Pappus, and more.

Full Description

In Euclidean geometry, constructions are made with ruler and compass. Projective geometry is simpler: its constructions require only a ruler. In projective geometry one never measures anything, instead, one relates one set of points to another by a projectivity. The first two chapters of this book introduce the important concepts of the subject and provide the logical foundations. The third and fourth chapters introduce the famous theorems of Desargues and Pappus. Chapters 5 and 6 make use of projectivities on a line and plane, repectively. The next three chapters develop a self-contained account of von Staudt's approach to the theory of conics. The modern approach used in that development is exploited in Chapter 10, which deals with the simplest finite geometry that is rich enough to illustrate all the theorems nontrivially. The concluding chapters show the connections among projective, Euclidean, and analytic geometry.