Projective Pure Geometry
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Projective Pure Geometry
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Author : Thomas Franklin Holgate
language : en
Publisher:
Release Date : 1942
Projective Pure Geometry written by Thomas Franklin Holgate and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1942 with Geometry, Projective categories.
Projective Pure Geometry By Thomas F Holgate
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Author : Thomas Franklin Holgate
language : en
Publisher:
Release Date : 1955
Projective Pure Geometry By Thomas F Holgate written by Thomas Franklin Holgate and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with Geometry, Projective categories.
The Principles Of Projective Geometry
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Author : J. L. S. Hatton
language : en
Publisher: Forgotten Books
Release Date : 2015-06-25
The Principles Of Projective Geometry written by J. L. S. Hatton and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-25 with Mathematics categories.
Excerpt from The Principles of Projective Geometry: Applied to the Straight Line and Conic This book has been written in the hope of placing in the hands of the pupil, who has mastered the portions of Euclid usually read, most, if not all, of the Pure Geometry which he requires in order to proceed to an Honours degree in Mathematics at any one of the Universities of Oxford, Cambridge, London and Manchester. While the subject has been primarily considered from the projective point of view, considerable trouble has been taken to deduce the more important metrical properties of Conies from the projective theorems with which they are related. In an addendum a certain number of elementary theorems of a non-projective nature have been collected for reference. The author trusts that this book may do something to encourage the student not to neglect the methods of pure geometry. In every other branch of mathematics analysis now reigns supreme even in geometry it is fast gaining a predominance. Twenty years' experience as a Teacher of Projective Geometry and ten years' experience as an examiner of the University of London have led the author to regard this as a misfortune. When the great landmarks of Projective Geometry - the theorems of Pascal and Brianchon, of Carnot and Desargues, together with their immediate consequences - are clearly placed before the student, the author has found that even in the younger student an enthusiasm is aroused which is wanting in his study of other branches of Mathematics. In the examination room it has been found that students who have mastered and absorbed the principles of Pure Geometry have taken a superior place to those who depend on a facility for handling analytical expressions. Such a facility with practice may undoubtedly be acquired by most pupils, but for all who are worthy to take a mathematical degree the study of Pure Geometry is a matter of primary importance. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Methods Of Pure Projective Geometry
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Author : John Heading
language : en
Publisher:
Release Date : 1958
Methods Of Pure Projective Geometry written by John Heading and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with categories.
Linear Algebra And Projective Geometry
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Author : Reinhold Baer
language : en
Publisher: Courier Corporation
Release Date : 2005-08-23
Linear Algebra And Projective Geometry written by Reinhold Baer and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-23 with Mathematics categories.
Originally published: New York: Academic Press, 1952, in series: Pure and applied mathematics (Academic Press); v. 2.
Axiomatic Projective Geometry
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Author : A. Heyting
language : en
Publisher: Elsevier
Release Date : 2014-05-12
Axiomatic Projective Geometry written by A. Heyting and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Mathematics categories.
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.
Projective Geometry And Projective Metrics
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Author : Herbert Busemann
language : en
Publisher: Courier Corporation
Release Date : 2012-11-14
Projective Geometry And Projective Metrics written by Herbert Busemann and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-14 with Mathematics categories.
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.
Projective Geometry
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Author : Harold Scott Macdonald Coxeter
language : en
Publisher:
Release Date : 1974
Projective Geometry written by Harold Scott Macdonald Coxeter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematics categories.
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 Elementary Introduction To The Methods Of Pure Projective Geometry
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Author : John Heading
language : en
Publisher:
Release Date : 1958
An Elementary Introduction To The Methods Of Pure Projective Geometry written by John Heading and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Geometry, Projective categories.
A First Course In Projective Geometry Classic Reprint
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Author : E. Howard Smart
language : en
Publisher: Forgotten Books
Release Date : 2019-01-13
A First Course In Projective Geometry Classic Reprint written by E. Howard Smart and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-13 with Mathematics categories.
Excerpt from A First Course in Projective Geometry This work is intended for the use of students who have read the substance of Euclid, Books I.-XI., and who desire some introduction to the. Properties of the conic before proceeding to the study of the more advanced works on modern pure geometry. The subject of Geometrical Conics, through the medium of which such an introduction is usually acquired, often proves repulsive to the average student. In my Opinion this is due to two causes first, the demands which it makes upon the memory owing to its lack of coher ence as commonly treated; and, secondly, to the very slight extension of outlook as regards method which it affords. In the presentation here adopted, which, I venture to think, is in some respects original, I have endeavoured to overcome as far as possible these defects, while at the same time giving a slight sketch of the method of projection, and of the great principles of homography and duality upon which the further development of pure geometry so greatly depends. No systematic treatment of imaginary elements or of the theory of involution is attempted, as these subjects are, in my judgment, unsuitable for a first course. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.