Modern Projective Geometry
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Modern Projective Geometry
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Author : Claude-Alain Faure
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-18
Modern Projective Geometry written by Claude-Alain Faure and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-18 with Mathematics categories.
Projective geometry is a very classical part of mathematics and one might think that the subject is completely explored and that there is nothing new to be added. But it seems that there exists no book on projective geometry which provides a systematic treatment of morphisms. We intend to fill this gap. It is in this sense that the present monograph can be called modern. The reason why morphisms have not been studied much earlier is probably the fact that they are in general partial maps between the point sets G and G, noted ' 9 : G -- ~ G', i.e. maps 9 : D -4 G' whose domain Dom 9 := D is a subset of G. We give two simple examples of partial maps which ought to be morphisms. The first example is purely geometric. Let E, F be complementary subspaces of a projective geometry G. If x E G \ E, then g(x) := (E V x) n F (where E V x is the subspace generated by E U {x}) is a unique point of F, i.e. one obtains a map 9 : G \ E -4 F. As special case, if E = {z} is a singleton and F a hyperplane with z tf. F, then g: G \ {z} -4 F is the projection with center z of G onto F.
Modern Projective Geometry
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Author : Robert J. Bumcrot
language : en
Publisher:
Release Date : 1972
Modern Projective Geometry written by Robert J. Bumcrot and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.
Modern Projective Geometry
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Author : Claude-Alain Faure
language : en
Publisher:
Release Date : 2014-01-15
Modern Projective Geometry written by Claude-Alain Faure and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
A Course In Modern Geometries
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Author : Judith N. Cederberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
A Course In Modern Geometries written by Judith N. Cederberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
A Course in Modern Geometries is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. Chapter 1 presents several finite geometries in an axiomatic framework. Chapter 2 introduces Euclid's geometry and the basic ideas of non-Euclidean geometry. The synthetic approach of Chapters 1 - 2 is followed by the analytic treatment of transformations of the Euclidean plane in Chapter 3. Chapter 4 presents plane projective geometry both synthetically and analytically. The extensive use of matrix representations of groups of transformations in Chapters 3 - 4 reinforces ideas from linear algebra and serves as excellent preparation for a course in abstract algebra. Each chapter includes a list of suggested sources for applications and/or related topics.
Algorithms In Algebraic Geometry And Applications
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Author : Laureano Gonzalez-Vega
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Algorithms In Algebraic Geometry And Applications written by Laureano Gonzalez-Vega and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The present volume contains a selection of refereed papers from the MEGA-94 symposium held in Santander, Spain, in April 1994. They cover recent developments in the theory and practice of computation in algebraic geometry and present new applications in science and engineering, particularly computer vision and theory of robotics. The volume will be of interest to researchers working in the areas of computer algebra and symbolic computation as well as to mathematicians and computer scientists interested in gaining access to these topics.
Projective Geometry And Modern Algebra
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Author : Lars Kadison
language : en
Publisher:
Release Date : 1996
Projective Geometry And Modern Algebra written by Lars Kadison and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Geometry, Projective categories.
A textbook for a one-semester undergraduate course introducing modern algebra in the framework of geometric applications; also suitable for self-study by readers a background in linear algebra and the calculus of several variables. Assumes to knowledge of abstract algebra. Annotation copyright by Book News, Inc., Portland, OR
Digital And Image Geometry
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Author : Gilles Bertrand
language : en
Publisher: Springer
Release Date : 2003-07-31
Digital And Image Geometry written by Gilles Bertrand and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-31 with Computers categories.
Images or discrete objects, to be analyzed based on digital image data, need to be represented, analyzed, transformed, recovered etc. These problems have stimulated many interesting developments in theoretical foundations of image processing. This coherent anthology presents 27 state-of-the-art surveys and research papers on digital image geometry and topology. It is based on a winter school held at Dagstuhl Castle, Germany in December 2000 and offers topical sections on topology, representation, geometry, multigrid convergence, and shape similarity and simplification.
Hilbert G Ttingen And The Development Of Modern Mathematics
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Author : Joan Roselló
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2019-02-01
Hilbert G Ttingen And The Development Of Modern Mathematics written by Joan Roselló and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-01 with Mathematics categories.
David Hilbert is one of the outstanding mathematicians of the twentieth century and probably the most influential. This book highlights Hilbert’s contributions to mathematics, putting them in their historical, social and cultural context. In doing so, particular attention is paid to Hilbert’s axiomatic method and his proposal for the foundations of mathematics, the so-called Hilbert’s program. The book also discusses the development of algebraic number theory, the theory of integral equations, modern algebra and the structural image of mathematics. In addition, it considers the famous list of Mathematical Problems presented in Paris in 1900, the mathematical tradition of the University of Göttingen, the great debate on the foundations of mathematics in the twenties between formalists and intuitionists, and, finally, Hilbert’s work on the theory of relativity and the foundations of quantum mechanics. The book will primarily appeal to an academic audience, although it will also be of interest to general-interest science readers.
Library Of Congress Subject Headings
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Author : Library of Congress. Cataloging Policy and Support Office
language : en
Publisher:
Release Date : 2009
Library Of Congress Subject Headings written by Library of Congress. Cataloging Policy and Support Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Subject headings, Library of Congress categories.
Library Of Congress Subject Headings
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Author : Library of Congress
language : en
Publisher:
Release Date : 1998
Library Of Congress Subject Headings written by Library of Congress and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Subject headings, Library of Congress categories.