The Real Projective Plane 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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H.S.M. Coxeter 作者

Springer

译者

1992-12-23 出版日期

222 页数

USD 89.95 价格

Hardcover

丛书系列

9780387978895 图书编码

The Real Projective Plane 在线电子书图书标签: 数学

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The Real Projective Plane 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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This introduction to projective geometry can be understood by anyone familiar with high-school geometry and algebra. The restriction to real geometry of two dimensions allows every theorem to be illustrated by a diagram. The subject is, in a sense, even simpler than Euclid, whose constructions involved a ruler and compass: here we have constructions using rulers alone. A strict axiomatic treatment is followed only to the point of letting the student see how it is done, but then relaxed to avoid becoming tedious. After two introductory chapters, the concept of continuity is introduced by means of an unusual but intuitively acceptable axiom. Subsequent chapters then treat one- and two-dimensional projectivities, conics, affine geometry, and Euclidean geometry. Chapter 10 continues the discussion of continuity at a more sophisticated level, and the remaining chapters introduce coordinates and their uses. An appendix by George Beck describes Mathematica scripts that can generate illustrations for several chapters; they are provided on a diskette included with the book. (Both PC and Macintosh versions are available) Mathematica is a registered trademark.

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