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Author | Oswald Veblen | |

ISBN-10 | UCAL:B4073995 | |

Release | 1910 | |

Pages | ||

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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. |

Author | Reinhold Baer | |

ISBN-10 | 9780486154664 | |

Release | 2012-06-11 | |

Pages | 336 | |

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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. |

Author | C. R. Wylie | |

ISBN-10 | 9780486141701 | |

Release | 2011-09-12 | |

Pages | 576 | |

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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. |

Author | H.S.M. Coxeter | |

ISBN-10 | 0387406239 | |

Release | 2003-10-09 | |

Pages | 162 | |

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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. |

Author | A. Seidenberg | |

ISBN-10 | 9780486154732 | |

Release | 2012-06-14 | |

Pages | 240 | |

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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. |

Author | William Vallance Douglas Hodge | |

ISBN-10 | 0521469015 | |

Release | 1994-05-19 | |

Pages | 408 | |

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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. |

Author | Oswald Veblen and John Wesley Young | |

ISBN-10 | 1113167572 | |

Release | 2009-07 | |

Pages | 346 | |

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This is a pre-1923 historical reproduction that was curated for quality. Quality assurance was conducted on each of these books in an attempt to remove books with imperfections introduced by the digitization process. Though we have made best efforts - the books may have occasional errors that do not impede the reading experience. We believe this work is culturally important and have elected to bring the book back into print as part of our continuing commitment to the preservation of printed works worldwide. |

Author | H. F. Baker | |

ISBN-10 | 9781108017770 | |

Release | 2010-10-31 | |

Pages | 202 | |

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A benchmark study of projective geometry and the birational theory of surfaces, first published between 1922 and 1925. |

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. |

Author | Rey Casse | |

ISBN-10 | 9780199298853 | |

Release | 2006-08-03 | |

Pages | 198 | |

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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. |

Author | A. Heyting | |

ISBN-10 | 9781483259314 | |

Release | 2014-05-12 | |

Pages | 160 | |

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Bibliotheca Mathematica: A Series of Monographs on Pure and Applied Mathematics, Volume V: Axiomatic Projective Geometry, Second Edition focuses on the principles, operations, and theorems in axiomatic projective geometry, including set theory, incidence propositions, collineations, axioms, and coordinates. The publication first elaborates on the axiomatic method, notions from set theory and algebra, analytic projective geometry, and incidence propositions and coordinates in the plane. Discussions focus on ternary fields attached to a given projective plane, homogeneous coordinates, ternary field and axiom system, projectivities between lines, Desargues' proposition, and collineations. The book takes a look at incidence propositions and coordinates in space. Topics include coordinates of a point, equation of a plane, geometry over a given division ring, trivial axioms and propositions, sixteen points proposition, and homogeneous coordinates. The text examines the fundamental proposition of projective geometry and order, including cyclic order of the projective line, order and coordinates, geometry over an ordered ternary field, cyclically ordered sets, and fundamental proposition. The manuscript is a valuable source of data for mathematicians and researchers interested in axiomatic projective geometry. |

Author | Olive Whicher | |

ISBN-10 | 9781855843790 | |

Release | 2013-07-01 | |

Pages | 292 | |

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Whicher explores the concepts of polarity and movement in modern projective geometry as a discipline of thought that transcends the limited and rigid space and forms of Euclid, and the corresponding material forces conceived in classical mechanics. Rudolf Steiner underlined the importance of projective geometry as "a method of training the imaginative faculties of thinking, so that they become an instrument of cognition no less conscious and exact than mathematical reasoning." This seminal approach allows for precise scientific understanding of the concept of creative fields of formative (etheric) forces at work in nature--in plants, animals and in the human being. |

Author | ||

ISBN-10 | OCLC:472175189 | |

Release | 1910 | |

Pages | ||

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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. |

Author | T. Ewan Faulkner | |

ISBN-10 | 9780486154893 | |

Release | 2013-02-20 | |

Pages | 144 | |

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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. |

Author | Jorge Stolfi | |

ISBN-10 | 9781483265193 | |

Release | 2014-05-10 | |

Pages | 246 | |

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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. |

Author | Jürgen Richter-Gebert | |

ISBN-10 | 3642172865 | |

Release | 2011-02-04 | |

Pages | 571 | |

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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 | Herbert Busemann | |

ISBN-10 | 9780486154695 | |

Release | 2012-11-14 | |

Pages | 352 | |

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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. |