Metric Planes And Metric Vector Spaces


Metric Planes And Metric Vector Spaces
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Metric Planes And Metric Vector Spaces


Metric Planes And Metric Vector Spaces
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Author : R. Lingenberg
language : en
Publisher: John Wiley & Sons
Release Date : 1979-07-09

Metric Planes And Metric Vector Spaces written by R. Lingenberg and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-07-09 with Mathematics categories.


Devoted to a domain of plane geometry, defining not only concepts of incidence but also metric concepts such as orthogonality or reflection. Verifies the interrelationships of three theories showing how they are different representations of a single, unified theory. These include a purely geometric theory based on the concept of incidence structures with orthogonality or with reflections, mainly as a treatment of Euclidean and non-Euclidean planes and certain subplanes of these planes; a theory of three-dimensional metric vector spaces with their natural geometric interpretation; and a theory of special types of S-groups and their group planes.



Metric Affine Geometry


Metric Affine Geometry
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Author : Ernst Snapper
language : en
Publisher: Elsevier
Release Date : 2014-05-10

Metric Affine Geometry written by Ernst Snapper and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.


Metric Affine Geometry focuses on linear algebra, which is the source for the axiom systems of all affine and projective geometries, both metric and nonmetric. This book is organized into three chapters. Chapter 1 discusses nonmetric affine geometry, while Chapter 2 reviews inner products of vector spaces. The metric affine geometry is treated in Chapter 3. This text specifically discusses the concrete model for affine space, dilations in terms of coordinates, parallelograms, and theorem of Desargues. The inner products in terms of coordinates and similarities of affine spaces are also elaborated. The prerequisites for this publication are a course in linear algebra and an elementary course in modern algebra that includes the concepts of group, normal subgroup, and quotient group. This monograph is suitable for students and aspiring geometry high school teachers.



Metric Spaces


Metric Spaces
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Author : E. T. Copson
language : en
Publisher: CUP Archive
Release Date : 1988-02-11

Metric Spaces written by E. T. Copson and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-02-11 with Mathematics categories.


Professor Copson's book provides a more leisurely treatment of metric spaces than is found in books on functional analysis.



Affine And Metric Geometry Based On Linear Algebra


Affine And Metric Geometry Based On Linear Algebra
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Author : Ernst Snapper
language : en
Publisher:
Release Date : 1967

Affine And Metric Geometry Based On Linear Algebra written by Ernst Snapper and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Geometry, Affine categories.




Metric Spaces Convexity And Nonpositive Curvature


Metric Spaces Convexity And Nonpositive Curvature
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Author : Athanase Papadopoulos
language : en
Publisher: European Mathematical Society
Release Date : 2005

Metric Spaces Convexity And Nonpositive Curvature written by Athanase Papadopoulos and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Computers categories.




Metric Methods Of Finsler Spaces And In The Foundations Of Geometry Am 8


Metric Methods Of Finsler Spaces And In The Foundations Of Geometry Am 8
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Author : Herbert Busemann
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02

Metric Methods Of Finsler Spaces And In The Foundations Of Geometry Am 8 written by Herbert Busemann and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Mathematics categories.


The description for this book, Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8), will be forthcoming.



L Enseignement Math Matique


L Enseignement Math Matique
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Author :
language : en
Publisher:
Release Date : 1979

L Enseignement Math Matique written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.




Orthogonality And Spacetime Geometry


Orthogonality And Spacetime Geometry
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Author : Robert Goldblatt
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Orthogonality And Spacetime Geometry written by Robert Goldblatt 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 2012-12-06 with Mathematics categories.


This book examines the geometrical notion of orthogonality, and shows how to use it as the primitive concept on which to base a metric structure in affine geometry. The subject has a long history, and an extensive literature, but whatever novelty there may be in the study presented here comes from its focus on geometries hav ing lines that are self-orthogonal, or even singular (orthogonal to all lines). The most significant examples concern four-dimensional special-relativistic spacetime (Minkowskian geometry), and its var ious sub-geometries, and these will be prominent throughout. But the project is intended as an exercise in the foundations of geome try that does not presume a knowledge of physics, and so, in order to provide the appropriate intuitive background, an initial chapter has been included that gives a description of the different types of line (timelike, spacelike, lightlike) that occur in spacetime, and the physical meaning of the orthogonality relations that hold between them. The coordinatisation of affine spaces makes use of constructions from projective geometry, including standard results about the ma trix represent ability of certain projective transformations (involu tions, polarities). I have tried to make the work sufficiently self contained that it may be used as the basis for a course at the ad vanced undergraduate level, assuming only an elementary knowledge of linear and abstract algebra.



Holomorphic Functions In The Plane And N Dimensional Space


Holomorphic Functions In The Plane And N Dimensional Space
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Author : Klaus Gürlebeck
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-23

Holomorphic Functions In The Plane And N Dimensional Space written by Klaus Gürlebeck 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 2007-12-23 with Mathematics categories.


Complex analysis nowadays has higher-dimensional analoga: the algebra of complex numbers is replaced then by the non-commutative algebra of real quaternions or by Clifford algebras. During the last 30 years the so-called quaternionic and Clifford or hypercomplex analysis successfully developed to a powerful theory with many applications in analysis, engineering and mathematical physics. This textbook introduces both to classical and higher-dimensional results based on a uniform notion of holomorphy. Historical remarks, lots of examples, figures and exercises accompany each chapter.



The Geometry Of Metric And Linear Spaces


The Geometry Of Metric And Linear Spaces
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Author : L. M. Kelly
language : en
Publisher: Springer
Release Date : 2006-11-14

The Geometry Of Metric And Linear Spaces written by L. M. Kelly and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.