introduction to projective geometry dover books on mathematics

Download Book Introduction To Projective Geometry Dover Books On Mathematics in PDF format. You can Read Online Introduction To Projective Geometry Dover Books On Mathematics here in PDF, EPUB, Mobi or Docx formats.

Introduction To Projective Geometry

Author : C. R. Wylie
ISBN : 9780486141701
Genre : Mathematics
File Size : 29. 66 MB
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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.

Lectures In Projective Geometry

Author : A. Seidenberg
ISBN : 9780486154732
Genre : Mathematics
File Size : 72. 7 MB
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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.

Projective Geometry

Author : T. Ewan Faulkner
ISBN : 9780486154893
Genre : Mathematics
File Size : 48. 36 MB
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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.

Linear Algebra And Projective Geometry

Author : Reinhold Baer
ISBN : 9780486154664
Genre : Mathematics
File Size : 27. 51 MB
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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.

Lectures On Analytic And Projective Geometry

Author : Dirk J. Struik
ISBN : 9780486173528
Genre : Mathematics
File Size : 38. 41 MB
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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.

Geometry A Comprehensive Course

Author : Dan Pedoe
ISBN : 9780486131733
Genre : Mathematics
File Size : 76. 38 MB
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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

Author : Rey Casse
ISBN : 9780199298853
Genre : Mathematics
File Size : 23. 55 MB
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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.

Perspectives On Projective Geometry

Author : Jürgen Richter-Gebert
ISBN : 3642172865
Genre : Mathematics
File Size : 59. 74 MB
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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.

Projective Geometry

Author : H.S.M. Coxeter
ISBN : 0387406239
Genre : Mathematics
File Size : 67. 94 MB
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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.

An Introduction To Finite Projective Planes

Author : Abraham Adrian Albert
ISBN : 9780486789941
Genre : Mathematics
File Size : 32. 74 MB
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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.

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