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Methods Of Pure Projective Geometry


Methods Of Pure Projective Geometry
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Methods Of Pure Projective Geometry


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.




An Elementary Introduction To The Methods Of Pure Projective 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.




The Principles Of Projective Geometry


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.



Projective Geometry And Projective Metrics


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.



Methods Of Algebraic Geometry Volume 1


Methods Of Algebraic Geometry Volume 1
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Author : W. V. D. Hodge
language : en
Publisher: Cambridge University Press
Release Date : 1994-03-10

Methods Of Algebraic Geometry Volume 1 written by W. V. D. Hodge and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-03-10 with Mathematics categories.


All three volumes of Hodge and Pedoe's classic work have now been reissued. Together, these books give an insight into algebraic geometry that is unique and unsurpassed.



Axiomatic Projective Geometry


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.



Chasles And The Projective Geometry


Chasles And The Projective Geometry
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Author : Paolo Bussotti
language : en
Publisher: Springer Nature
Release Date :

Chasles And The Projective Geometry written by Paolo Bussotti and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Methods Of Algebraic Geometry


Methods Of Algebraic Geometry
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Author : W. V. D. Hodge
language : en
Publisher: Cambridge University Press
Release Date : 1994-03-10

Methods Of Algebraic Geometry written by W. V. D. Hodge and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-03-10 with Mathematics categories.


This classic work (first published in 1947), in three volumes, provides a lucid and rigorous account of the foundations of modern algebraic geometry. The authors have confined themselves to fundamental concepts and geometrical methods, and do not give detailed developments of geometrical properties but geometrical meaning has been emphasized throughout. This first volume is divided into two parts. The first is devoted to pure algebra: the basic notions, the theory of matrices over a non-commutative ground field and a study of algebraic equations. The second part is in n dimensions. It concludes with a purely algebraic account of collineations and correlations.



Methods Of Algebraic Geometry In Control Theory Part I


Methods Of Algebraic Geometry In Control Theory Part I
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Author : Peter Falb
language : en
Publisher: Springer
Release Date : 2018-08-25

Methods Of Algebraic Geometry In Control Theory Part I written by Peter Falb and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-25 with Mathematics categories.


"An introduction to the ideas of algebraic geometry in the motivated context of system theory." Thus the author describes his textbook that has been specifically written to serve the needs of students of systems and control. Without sacrificing mathematical care, the author makes the basic ideas of algebraic geometry accessible to engineers and applied scientists. The emphasis is on constructive methods and clarity rather than abstraction. The student will find here a clear presentation with an applied flavor, of the core ideas in the algebra-geometric treatment of scalar linear system theory. The author introduces the four representations of a scalar linear system and establishes the major results of a similar theory for multivariable systems appearing in a succeeding volume (Part II: Multivariable Linear Systems and Projective Algebraic Geometry). Prerequisites are the basics of linear algebra, some simple notions from topology and the elementary properties of groups, rings, and fields, and a basic course in linear systems. Exercises are an integral part of the treatment and are used where relevant in the main body of the text. The present, softcover reprint is designed to make this classic textbook available to a wider audience. "This book is a concise development of affine algebraic geometry together with very explicit links to the applications...[and] should address a wide community of readers, among pure and applied mathematicians." —Monatshefte für Mathematik



Projective Methods In Plane Analytical Geometry


Projective Methods In Plane Analytical Geometry
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Author : Charlotte Angas Scott
language : en
Publisher:
Release Date : 1976

Projective Methods In Plane Analytical Geometry written by Charlotte Angas Scott and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Geometry, Analytic categories.