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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.

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.

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.

Perspectives on Projective Geometry

Perspectives on Projective Geometry 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.

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.

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
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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.

A New Look at Geometry

A New Look at Geometry Author Irving Adler
ISBN-10 9780486498515
Release 2012-10-17
Pages 414
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This richly detailed overview surveys the evolution of geometrical ideas and thedevelopment of the concepts of modern geometry from ancient times to the present.Topics include projective, Euclidean, and non-Euclidean geometry as well as the roleof geometry in Newtonian physics, calculus, and relativity. Over 100 exercises withanswers. Includes a new Introduction by Peter Ruane.Reprint of The John Day Company, Inc., New York, 1966

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.

Geometric Algebra

Geometric Algebra Author Emil Artin
ISBN-10 9780486809205
Release 2016-01-20
Pages 224
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This concise classic presents advanced undergraduates and graduate students in mathematics with an overview of geometric algebra. The text originated with lecture notes from a New York University course taught by Emil Artin, one of the preeminent mathematicians of the twentieth century. The Bulletin of the American Mathematical Society praised Geometric Algebra upon its initial publication, noting that "mathematicians will find on many pages ample evidence of the author's ability to penetrate a subject and to present material in a particularly elegant manner." Chapter 1 serves as reference, consisting of the proofs of certain isolated algebraic theorems. Subsequent chapters explore affine and projective geometry, symplectic and orthogonal geometry, the general linear group, and the structure of symplectic and orthogonal groups. The author offers suggestions for the use of this book, which concludes with a bibliography and index.

Vector Geometry

Vector Geometry Author Gilbert de B. Robinson
ISBN-10 9780486321042
Release 2013-10-10
Pages 192
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Concise undergraduate-level text by a prominent mathematician explores the relationship between algebra and geometry. An elementary course in plane geometry is the sole requirement. Includes answers to exercises. 1962 edition.

Geometri eskie svojstva krivyh vtorogo por dka

Geometri eskie svojstva krivyh vtorogo por  dka Author Arseny V. Akopyan
ISBN-10 0821884328
Pages 134
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"Geometry Of Conics deals with the properties of conics (plane curves of second degree) that can be formulated and proved using only elementary geometry. Starting with the well-known optical properties of conics, this book moves to less trivial results, both classical and contemporary. It demonstrates the advantage of purely geometric methods of studying conics."--Publisher's website.

Differential Geometry

Differential Geometry Author Erwin Kreyszig
ISBN-10 0486667219
Release 1959
Pages 352
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Text from preface: "This book provides an introduction to the differential geometry of curves and surfaces in three-dimensional Euclidean space"

Algebraic Geometry

Algebraic Geometry Author Solomon Lefschetz
ISBN-10 9780486154725
Release 2012-09-05
Pages 256
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An introduction to algebraic geometry and a bridge between its analytical-topological and algebraical aspects, this text for advanced undergraduate students is particularly relevant to those more familiar with analysis than algebra. 1953 edition.

Differential Geometry

Differential Geometry Author Heinrich W. Guggenheimer
ISBN-10 9780486157207
Release 2012-04-27
Pages 400
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This text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of groups of motions in euclidean, affine, and riemannian geometry; more. Includes exercises and 62 figures.

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.

Higher Geometry

Higher Geometry Author Frederick Woods
ISBN-10 9781458500014
Release 2012-03-08
Pages 435
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Higher Geometry has been writing in one form or another for most of life. You can find so many inspiration from Higher Geometry also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Higher Geometry book for free.

Coordinate Geometry

Coordinate Geometry Author Luther Pfahler Eisenhart
ISBN-10 9780486442617
Release 2005-03-04
Pages 298
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A thorough, complete, and unified introduction, this volume affords exceptional insights into coordinate geometry. Invariants of conic sections and quadric surfaces receive full treatments. Algebraic equations on the first degree in two and three unknowns are carefully reviewed. Throughout the book, results are formulated precisely, with clearly stated theorems. More than 500 helpful exercises. 1939 edition.