Download or read online books in PDF, EPUB and Mobi Format. Click Download or Read Online button to get book now. This site is like a library, Use search box in the widget to get ebook that you want.

Projective Geometry

Projective Geometry Author Oswald Veblen
ISBN-10 UCAL:B4073995
Release 1910
Pages
Download Link Click Here

Projective Geometry has been writing in one form or another for most of life. You can find so many inspiration from Projective Geometry also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Projective Geometry book for free.



Linear Algebra and Projective Geometry

Linear Algebra and Projective Geometry Author Reinhold Baer
ISBN-10 9780486154664
Release 2012-06-11
Pages 336
Download Link Click Here

Geared toward upper-level undergraduates and graduate students, this text establishes that projective geometry and linear algebra are essentially identical. The supporting evidence consists of theorems offering an algebraic demonstration of certain geometric concepts. 1952 edition.



Projective Geometry

Projective Geometry Author H.S.M. Coxeter
ISBN-10 0387406239
Release 2003-10-09
Pages 162
Download Link Click Here

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, respectively. 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.



Lectures in Projective Geometry

Lectures in Projective Geometry Author A. Seidenberg
ISBN-10 9780486154732
Release 2012-06-14
Pages 240
Download Link Click Here

An ideal text for undergraduate courses, this volume takes an axiomatic approach that covers relations between the basic theorems, conics, coordinate systems and linear transformations, quadric surfaces, and the Jordan canonical form. 1962 edition.



Introduction to Projective Geometry

Introduction to Projective Geometry Author C. R. Wylie
ISBN-10 9780486141701
Release 2011-09-12
Pages 576
Download Link Click Here

This introductory volume offers strong reinforcement for its teachings, with detailed examples and numerous theorems, proofs, and exercises, plus complete answers to all odd-numbered end-of-chapter problems. 1970 edition.



Methods of Algebraic Geometry

Methods of Algebraic Geometry Author William Vallance Douglas Hodge
ISBN-10 0521469015
Release 1994-05-19
Pages 408
Download Link Click Here

All three volumes of Hodge and Pedoe's classic work have now been reissued. Together, these books give an insight into algebraic geometry that is unique and unsurpassed.



Projective Geometry

Projective Geometry Author T. Ewan Faulkner
ISBN-10 9780486154893
Release 2013-02-20
Pages 144
Download Link Click Here

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.



Oriented Projective Geometry

Oriented Projective Geometry Author Jorge Stolfi
ISBN-10 9781483265193
Release 2014-05-10
Pages 246
Download Link Click Here

Oriented Projective Geometry: A Framework for Geometric Computations proposes that oriented projective geometry is a better framework for geometric computations than classical projective geometry. The aim of the book is to stress the value of oriented projective geometry for practical computing and develop it as a rich, consistent, and effective tool for computer programmers. The monograph is comprised of 20 chapters. Chapter 1 gives a quick overview of classical and oriented projective geometry on the plane, and discusses their advantages and disadvantages as computational models. Chapters 2 through 7 define the canonical oriented projective spaces of arbitrary dimension, the operations of join and meet, and the concept of relative orientation. Chapter 8 defines projective maps, the space transformations that preserve incidence and orientation; these maps are used in chapter 9 to define abstract oriented projective spaces. Chapter 10 introduces the notion of projective duality. Chapters 11, 12, and 13 deal with projective functions, projective frames, relative coordinates, and cross-ratio. Chapter 14 tells about convexity in oriented projective spaces. Chapters 15, 16, and 17 show how the affine, Euclidean, and linear vector spaces can be emulated with the oriented projective space. Finally, chapters 18 through 20 discuss the computer representation and manipulation of lines, planes, and other subspaces. Computer scientists and programmers will find this text invaluable.



Perspectives on Projective Geometry

Perspectives on Projective Geometry Author Jürgen Richter-Gebert
ISBN-10 3642172865
Release 2011-02-04
Pages 571
Download Link Click Here

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.



Projective Geometry

Projective Geometry Author Lawrence Edwards
ISBN-10 0863152856
Release 1985
Pages 338
Download Link Click Here

Projective Geometry has been writing in one form or another for most of life. You can find so many inspiration from Projective Geometry also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Projective Geometry book for free.



Linear Algebra and Projective Geometry

Linear Algebra and Projective Geometry Author Reinhold Baer
ISBN-10 9780486154664
Release 2012-06-11
Pages 336
Download Link Click Here

Geared toward upper-level undergraduates and graduate students, this text establishes that projective geometry and linear algebra are essentially identical. The supporting evidence consists of theorems offering an algebraic demonstration of certain geometric concepts. 1952 edition.



Projective Geometry

Projective Geometry Author Rey Casse
ISBN-10 9780199298853
Release 2006-08-03
Pages 198
Download Link Click Here

This lucid and accessible text provides an introductory guide to projective geometry, an area of mathematics concerned with the properties and invariants of geometric figures under projection. Including numerous worked examples and exercises throughout, the book covers axiomatic geometry, field planes and PG(r, F), coordinating a projective plane, non-Desarguesian planes, conics and quadrics in PG(3, F). Assuming familiarity with linear algebra, elementary group theory, partial differentiation and finite fields, as well as some elementary coordinate geometry, this text is ideal for 3rd and 4th year mathematics undergraduates.



A Modern View of Geometry

A Modern View of Geometry Author Leonard M. Blumenthal
ISBN-10 9780486639628
Release 1980
Pages 191
Download Link Click Here

Elegant exposition of the postulation geometry of planes, including coordination of affine and projective planes. Historical background, set theory, propositional calculus, affine planes with Desargues and Pappus properties, construction of metrical planes, much more. Rigorous, lucid treatment of important area in modern mathematics. Corrected republication of the 3rd (1961) edition. Includes 56 figures.



The Real Projective Plane

The Real Projective Plane Author H.S.M. Coxeter
ISBN-10 9781461227342
Release 2012-12-06
Pages 227
Download Link Click Here

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.



Projective Geometry and Projective Metrics

Projective Geometry and Projective Metrics Author Herbert Busemann
ISBN-10 9780486154695
Release 2012-11-14
Pages 352
Download Link Click Here

This text examines the 3 classical geometries and their relationship to general geometric structures, with particular focus on affine geometry, projective metrics, non-Euclidean geometry, and spatial geometry. 1953 edition.



Projective Geometry

Projective Geometry Author
ISBN-10 OCLC:472175189
Release 1910
Pages
Download Link Click Here

Projective Geometry has been writing in one form or another for most of life. You can find so many inspiration from Projective Geometry also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Projective Geometry book for free.



Dynamics Statistics and Projective Geometry of Galois Fields

Dynamics  Statistics and Projective Geometry of Galois Fields Author V. I. Arnold
ISBN-10 9781139493444
Release 2010-12-02
Pages
Download Link Click Here

V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and geometrical explorations to make these findings accessible to a broad range of mathematicians, from undergraduate students to experienced researchers.