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Introduction to Projective Geometry

Introduction to Projective Geometry 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.

Projective Geometry

Projective Geometry 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.

Lectures in Projective Geometry

Lectures in Projective 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.

Linear Algebra and Projective Geometry

Linear Algebra and Projective Geometry 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.

Geometry A Comprehensive Course

Geometry  A Comprehensive Course Author Dan Pedoe
ISBN-10 9780486131733
Release 2013-04-02
Pages 464
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Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.

Projective Geometry

Projective Geometry 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.

An Introduction to Finite Projective Planes

An Introduction to Finite Projective Planes Author Abraham Adrian Albert
ISBN-10 9780486789941
Release 2015-02-18
Pages 112
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Text for both beginning and advanced undergraduate and graduate students covers finite planes, field planes, coordinates in an arbitrary plane, central collineations and the little Desargues' property, the fundamental theorem, and non-Desarguesian planes. 1968 edition.

Projective Geometry

Projective Geometry 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.

Projective Geometry

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.

Foundations of Geometry

Foundations of Geometry Author C. R. Wylie
ISBN-10 9780486472140
Release 2009-05-21
Pages 338
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Explains geometric theories and shows many examples.

Inversive Geometry

Inversive Geometry Author Frank Morley
ISBN-10 9780486493398
Release 2014-01-15
Pages 288
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This introduction to algebraic geometry makes particular reference to the operation of inversion. Topics include Euclidean group; inversion; quadratics; finite inversive groups; parabolic, hyperbolic, and elliptic geometries; differential geometry; and more. 1933 edition.

A Modern View of Geometry

A Modern View of Geometry Author Leonard M. Blumenthal
ISBN-10 9780486821139
Release 2017-04-19
Pages 208
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Elegant exposition of postulation geometry of planes offers rigorous, lucid treatment of coordination of affine and projective planes, set theory, propositional calculus, affine planes with Desargues and Pappus properties, more. 1961 edition.

A New Look at Geometry

A New Look at Geometry Author Irving Adler
ISBN-10 9780486320496
Release 2013-10-03
Pages 416
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Richly detailed survey of the evolution of geometrical ideas and development of concepts of modern geometry: projective, Euclidean, and non-Euclidean geometry; role of geometry in Newtonian physics, calculus, relativity. Over 100 exercises with answers. 1966 edition.

Lectures on Analytic and Projective Geometry

Lectures on Analytic and Projective Geometry Author Dirk J. Struik
ISBN-10 9780486173528
Release 2014-03-05
Pages 304
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This undergraduate text develops the geometry of plane and space, leading up to conics and quadrics, within the context of metrical, affine, and projective transformations. 1953 edition.

Fundamental Concepts of Geometry

Fundamental Concepts of Geometry Author Bruce E. Meserve
ISBN-10 9780486152264
Release 2014-12-08
Pages 336
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Demonstrates relationships between different types of geometry. Provides excellent overview of the foundations and historical evolution of geometrical concepts. Exercises (no solutions). Includes 98 illustrations.

Excursions in Geometry

Excursions in Geometry Author Charles Stanley Ogilvy
ISBN-10 9780486265308
Release 1990
Pages 178
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A straightedge, compass, and a little thought are all that's needed to discover the intellectual excitement of geometry. Harmonic division and Apollonian circles, inversive geometry, hexlet, Golden Section, more. 132 illustrations.

A Vector Space Approach to Geometry

A Vector Space Approach to Geometry Author Melvin Hausner
ISBN-10 9780486137858
Release 2012-10-30
Pages 416
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This examination of geometry's correlation with other branches of math and science features a review of systematic geometric motivations in vector space theory and matrix theory; more. 1965 edition.