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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.



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 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.



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.



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.



An Introduction to Plane Projective Geometry

An Introduction to Plane Projective Geometry Author Evan John Hopkins
ISBN-10 UOM:39015078181057
Release 1953
Pages 276
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An Introduction to Plane Projective Geometry has been writing in one form or another for most of life. You can find so many inspiration from An Introduction to Plane Projective Geometry also informative, and entertaining. Click DOWNLOAD or Read Online button to get full An Introduction to Plane Projective Geometry book for free.



An Introduction to Projective Geometry

An Introduction to Projective Geometry Author O'Hara C.W.
ISBN-10 9781406719048
Release 2007-03
Pages 308
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PREFACE. THE Author of this very practical treatise on Scotch Loch - Fishing desires clearly that it may be of use to all who had it. He does not pretend to have written anything new, but to have attempted to put what he has to say in as readable a form as possible. Everything in the way of the history and habits of fish has been studiously avoided, and technicalities have been used as sparingly as possible. The writing of this book has afforded him pleasure in his leisure moments, and that pleasure would be much increased if he knew that the perusal of it would create any bond of sympathy between himself and the angling community in general. This section is interleaved with blank shects for the readers notes. The Author need hardly say that any suggestions addressed to the case of the publishers, will meet with consideration in a future edition. We do not pretend to write or enlarge upon a new subject. Much has been said and written-and well said and written too on the art of fishing but loch-fishing has been rather looked upon as a second-rate performance, and to dispel this idea is one of the objects for which this present treatise has been written. Far be it from us to say anything against fishing, lawfully practised in any form but many pent up in our large towns will bear us out when me say that, on the whole, a days loch-fishing is the most convenient. One great matter is, that the loch-fisher is depend- ent on nothing but enough wind to curl the water, -and on a large loch it is very seldom that a dead calm prevails all day, -and can make his arrangements for a day, weeks beforehand whereas the stream- fisher is dependent for a good take on the state of the water and however pleasant and easy it may be for one living near the banks of a good trout stream or river, it is quite another matter to arrange for a days river-fishing, if one is looking forward to a holiday at a date some weeks ahead. Providence may favour the expectant angler with a good day, and the water in order but experience has taught most of us that the good days are in the minority, and that, as is the case with our rapid running streams, -such as many of our northern streams are, -the water is either too large or too small, unless, as previously remarked, you live near at hand, and can catch it at its best. A common belief in regard to loch-fishing is, that the tyro and the experienced angler have nearly the same chance in fishing, -the one from the stern and the other from the bow of the same boat. Of all the absurd beliefs as to loch-fishing, this is one of the most absurd. Try it. Give the tyro either end of the boat he likes give him a cast of ally flies he may fancy, or even a cast similar to those which a crack may be using and if he catches one for every three the other has, he may consider himself very lucky. Of course there are lochs where the fish are not abundant, and a beginner may come across as many as an older fisher but we speak of lochs where there are fish to be caught, and where each has a fair chance. Again, it is said that the boatman has as much to do with catching trout in a loch as the angler. Well, we dont deny that. In an untried loch it is necessary to have the guidance of a good boatman but the same argument holds good as to stream-fishing...



An Introduction to Projective Geometry and Its Applications

An Introduction to Projective Geometry and Its Applications Author Arnold Emch
ISBN-10 HARVARD:32044070885934
Release 1905
Pages 267
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An Introduction to Projective Geometry and Its Applications has been writing in one form or another for most of life. You can find so many inspiration from An Introduction to Projective Geometry and Its Applications also informative, and entertaining. Click DOWNLOAD or Read Online button to get full An Introduction to Projective Geometry and Its Applications book for free.



An Introduction to Projective Geometry

An Introduction to Projective Geometry Author Louis Napoleon George Filon
ISBN-10 HARVARD:32044091903468
Release 1908
Pages 249
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An Introduction to Projective Geometry has been writing in one form or another for most of life. You can find so many inspiration from An Introduction to Projective Geometry also informative, and entertaining. Click DOWNLOAD or Read Online button to get full An Introduction to Projective Geometry book for free.



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.



An Algebraic Introduction to Complex Projective Geometry

An Algebraic Introduction to Complex Projective Geometry Author Christian Peskine
ISBN-10 0521480728
Release 1996-05-02
Pages 244
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In this introduction to commutative algebra, the author choses a route that leads the reader through the essential ideas, without getting embroiled in technicalities. He takes the reader quickly to the fundamentals of complex projective geometry, requiring only a basic knowledge of linear and multilinear algebra and some elementary group theory. The author divides the book into three parts. In the first, he develops the general theory of noetherian rings and modules. He includes a certain amount of homological algebra, and he emphasizes rings and modules of fractions as preparation for working with sheaves. In the second part, he discusses polynomial rings in several variables with coefficients in the field of complex numbers. After Noether's normalization lemma and Hilbert's Nullstellensatz, the author introduces affine complex schemes and their morphisms; he then proves Zariski's main theorem and Chevalley's semi-continuity theorem. Finally, the author's detailed study of Weil and Cartier divisors provides a solid background for modern intersection theory. This is an excellent textbook for those who seek an efficient and rapid introduction to the geometric applications of commutative algebra.



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.



Introduction to Projective Geometry and Modern Algebra

Introduction to Projective Geometry and Modern Algebra Author Robert A. Rosenbaum
ISBN-10 UOM:39015077939018
Release 1963
Pages 344
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Introduction to Projective Geometry and Modern Algebra has been writing in one form or another for most of life. You can find so many inspiration from Introduction to Projective Geometry and Modern Algebra also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Introduction to Projective Geometry and Modern Algebra book for free.



Projective Geometry

Projective Geometry Author Lawrence Edwards
ISBN-10 0863152856
Release 1985
Pages 338
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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.



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.



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.



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.