The Real Projective Plane PDF Download
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Author | : H.S.M. Coxeter |
Publisher | : Springer Science & Business Media |
Total Pages | : 236 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461227348 |
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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.
Author | : H.S.M. Coxeter |
Publisher | : Springer Science & Business Media |
Total Pages | : 248 |
Release | : 1992-12-23 |
Genre | : Mathematics |
ISBN | : 9780387978895 |
Download The Real Projective Plane Book in PDF, ePub and Kindle
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.
Author | : Harold Scott Macdonald Coxeter |
Publisher | : |
Total Pages | : 226 |
Release | : 1961 |
Genre | : |
ISBN | : |
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Author | : Gerd Fischer |
Publisher | : Informatica International, Incorporated |
Total Pages | : 118 |
Release | : 1986 |
Genre | : Mathematics |
ISBN | : |
Download Mathematical models Book in PDF, ePub and Kindle
Author | : H. S. M. Coxeter |
Publisher | : |
Total Pages | : 0 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 9780758111661 |
Download The Real Projective Plane Book in PDF, ePub and Kindle
Author | : Jürgen Richter-Gebert |
Publisher | : Springer Science & Business Media |
Total Pages | : 573 |
Release | : 2011-02-04 |
Genre | : Mathematics |
ISBN | : 3642172865 |
Download Perspectives on Projective Geometry Book in PDF, ePub and Kindle
Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This book offers a comprehensive introduction to this fascinating field and its applications. In particular, it explains how metric concepts may be best understood in projective terms. One of the major themes that appears throughout this book is the beauty of the interplay between geometry, algebra and combinatorics. This book can especially be used as a guide that explains how geometric objects and operations may be most elegantly expressed in algebraic terms, making it a valuable resource for mathematicians, as well as for computer scientists and physicists. The book is based on the author’s experience in implementing geometric software and includes hundreds of high-quality illustrations.
Author | : Harold S. M. Coxeter |
Publisher | : |
Total Pages | : 222 |
Release | : 1993-01-01 |
Genre | : Geometry, Projective |
ISBN | : 9783540978893 |
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Contain: Files, scenes, narrations, and projectivities for Mathematica.
Author | : Albrecht Beutelspacher |
Publisher | : Cambridge University Press |
Total Pages | : 272 |
Release | : 1998-01-29 |
Genre | : Mathematics |
ISBN | : 9780521483643 |
Download Projective Geometry Book in PDF, ePub and Kindle
Projective geometry is not only a jewel of mathematics, but has also many applications in modern information and communication science. This book presents the foundations of classical projective and affine geometry as well as its important applications in coding theory and cryptography. It also could serve as a first acquaintance with diagram geometry. Written in clear and contemporary language with an entertaining style and around 200 exercises, examples and hints, this book is ideally suited to be used as a textbook for study in the classroom or on its own.
Author | : Séverine Fiedler - Le Touzé |
Publisher | : Chapman & Hall/CRC |
Total Pages | : 0 |
Release | : 2018-11-26 |
Genre | : Curves, Algebraic |
ISBN | : 9781138322578 |
Download Pencils of Cubics and Algebraic Curves in the Real Projective Plane Book in PDF, ePub and Kindle
Part 1 of this book answers questions for using rational cubics and pencils of cubics. Part 2 deals with configurations of eight points in convex position. Part 3 contains applications and results around Hilbert's sixteenth problem.
Author | : |
Publisher | : |
Total Pages | : 226 |
Release | : 1961 |
Genre | : |
ISBN | : |
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