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The Real Projective Plane
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Book Synopsis The Real Projective Plane by : H.S.M. Coxeter
Download or read book The Real Projective Plane written by H.S.M. Coxeter and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Real Projective Plane by : H.S.M. Coxeter
Download or read book The Real Projective Plane written by H.S.M. Coxeter and published by Springer Science & Business Media. This book was released on 1992-12-23 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Real Projective Plane by : Harold Scott Macdonald Coxeter
Download or read book The Real Projective Plane written by Harold Scott Macdonald Coxeter and published by . This book was released on 1955 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Real Projective Plane by : H. S. M. Coxeter
Download or read book The Real Projective Plane written by H. S. M. Coxeter and published by . This book was released on 2003 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Real Projective Plane by : Harold S. M. Coxeter
Download or read book The Real Projective Plane written by Harold S. M. Coxeter and published by . This book was released on 1993-01-01 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contain: Files, scenes, narrations, and projectivities for Mathematica.
Download or read book The real projective plane written by and published by . This book was released on 1961 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Real Projective Plane by : Harold Scott Macdonald Coxeter
Download or read book The Real Projective Plane written by Harold Scott Macdonald Coxeter and published by . This book was released on 1961 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Models of the Real Projective Plane by : Francois Apery
Download or read book Models of the Real Projective Plane written by Francois Apery and published by Springer-Verlag. This book was released on 2013-03-09 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the present time, objects generated by computers are replacing models made from wood, wire, and plaster. It is interesting to see how computer graphics can help us to understand the geometry of surfaces and illustrate some recent results on representations of the real projective plane.
Book Synopsis Mathematical models by : Gerd Fischer
Download or read book Mathematical models written by Gerd Fischer and published by Informatica International, Incorporated. This book was released on 1986 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Jürgen Richter-Gebert Publisher :Springer Science & Business Media ISBN 13 :3642172865 Total Pages :573 pages Book Rating :4.6/5 (421 download)
Book Synopsis Perspectives on Projective Geometry by : Jürgen Richter-Gebert
Download or read book Perspectives on Projective Geometry written by Jürgen Richter-Gebert and published by Springer Science & Business Media. This book was released on 2011-02-04 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Real Projective Plane by : Harold Scott Macdonald Coxeter (Mathématicien)
Download or read book The Real Projective Plane written by Harold Scott Macdonald Coxeter (Mathématicien) and published by . This book was released on 1960 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Real Projective Plane by : Arthur C. Cawley
Download or read book The Real Projective Plane written by Arthur C. Cawley and published by . This book was released on 1960 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Real Projective Plane ... Second Edition by : Harold Scott Macdonald Coxeter
Download or read book The Real Projective Plane ... Second Edition written by Harold Scott Macdonald Coxeter and published by . This book was released on 1955 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Projective Geometry by : Albrecht Beutelspacher
Download or read book Projective Geometry written by Albrecht Beutelspacher and published by Cambridge University Press. This book was released on 1998-01-29 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Toward a Minimal Finite for the Real Projective Plane by :
Download or read book Toward a Minimal Finite for the Real Projective Plane written by and published by . This book was released on 2015 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Projective Geometry by : Elisabetta Fortuna
Download or read book Projective Geometry written by Elisabetta Fortuna and published by Springer. This book was released on 2016-12-17 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book starts with a concise but rigorous overview of the basic notions of projective geometry, using straightforward and modern language. The goal is not only to establish the notation and terminology used, but also to offer the reader a quick survey of the subject matter. In the second part, the book presents more than 200 solved problems, for many of which several alternative solutions are provided. The level of difficulty of the exercises varies considerably: they range from computations to harder problems of a more theoretical nature, up to some actual complements of the theory. The structure of the text allows the reader to use the solutions of the exercises both to master the basic notions and techniques and to further their knowledge of the subject, thus learning some classical results not covered in the first part of the book. The book addresses the needs of undergraduate and graduate students in the theoretical and applied sciences, and will especially benefit those readers with a solid grasp of elementary Linear Algebra.
Book Synopsis Projective Geometry by : T. Ewan Faulkner
Download or read book Projective Geometry written by T. Ewan Faulkner and published by Courier Corporation. This book was released on 2013-02-20 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highlighted by numerous examples, this book explores methods of the projective geometry of the plane. Examines the conic, the general equation of the 2nd degree, and the relationship between Euclidean and projective geometry. 1960 edition.
