Coxeter, H.S.M. The Real Projective Plane: With an Appendix for Mathematica

# The Real Projective Plane: With an Appendix for Mathematica

## Coxeter, H.S.M.

5 valoración promedio
( 1 valoraciones por GoodReads )

From the Publisher:

Along with many small improvements, this revised edition contains van Yzeren's new proof of Pascal's theorem (§1.7) and, in Chapter 2, an improved treatment of order and sense. The Sylvester-Gallai theorem, instead of being introduced as a curiosity, is now used as an essential step in the theory of harmonic separation (§3.34). This makes the logi­ cal development self-contained: the footnotes involving the References (pp. 214-216) are for comparison with earlier treatments, and to give credit where it is due, not to fill gaps in the argument. H.S.M.C. November 1992 v Preface to the Second Edition Why should one study the real plane? To this question, put by those who advocate the complex plane, or geometry over a general field, I would reply that the real plane is an easy first step. Most of the prop­ erties are closely analogous, and the real field has the advantage of intuitive accessibility. Moreover, real geometry is exactly what is needed for the projective approach to non· Euclidean geometry. Instead of introducing the affine and Euclidean metrics as in Chapters 8 and 9, we could just as well take the locus of 'points at infinity' to be a conic, or replace the absolute involution by an absolute polarity.

From the Publisher:

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Comprar nuevo Ver libro
EUR 69,40

Gastos de envío: EUR 8,98
De Reino Unido a Estados Unidos de America

Destinos, gastos y plazos de envío

## 1.The Real Projective Plane

Editorial: Springer (1992)
ISBN 10: 0387978895 ISBN 13: 9780387978895
Librería
Herb Tandree Philosophy Books
(Stroud, GLOS, Reino Unido)
Valoración

Descripción Springer, 1992. Hardback. Estado de conservación: NEW. 9780387978895 Hardback, This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0276511

Comprar nuevo
EUR 69,40
Convertir moneda
Gastos de envío: EUR 8,98
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

## 2.The Real Projective Plane

Editorial: Springer (1992)
ISBN 10: 0387978895 ISBN 13: 9780387978895
Impresión bajo demanda
Librería
Ergodebooks
(RICHMOND, TX, Estados Unidos de America)
Valoración

Descripción Springer, 1992. Hardcover. Estado de conservación: New. 3rd. This item is printed on demand. Nº de ref. de la librería DADAX0387978895

Comprar nuevo
EUR 86,73
Convertir moneda
Gastos de envío: EUR 3,67
Destinos, gastos y plazos de envío

## 3.The Real Projective Plane

Editorial: Springer (1992)
ISBN 10: 0387978895 ISBN 13: 9780387978895
Librería
Irish Booksellers
(Rumford, ME, Estados Unidos de America)
Valoración

Descripción Springer, 1992. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0387978895

Comprar nuevo
EUR 98,05
Convertir moneda
Gastos de envío: GRATIS
Destinos, gastos y plazos de envío

## 4.The Real Projective Plane

Editorial: Springer (1992)
ISBN 10: 0387978895 ISBN 13: 9780387978895
Librería
Murray Media
(North Miami Beach, FL, Estados Unidos de America)
Valoración

Descripción Springer, 1992. Hardcover. Estado de conservación: New. Nº de ref. de la librería P110387978895

Comprar nuevo
EUR 139,23
Convertir moneda
Gastos de envío: EUR 2,75
Destinos, gastos y plazos de envío

## 5.The Real Projective Plane: PC Version/Book & Disk

Editorial: Springer Verlag (1993)
ISBN 10: 0387978895 ISBN 13: 9780387978895