The Geometry of Metric and Linear Spaces PDF Download
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Author: L. M. Kelly
Publisher: Springer
ISBN: 3540379460
Category : Mathematics
Languages : en
Pages : 257
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Book Description
Author: L. M. Kelly
Publisher: Springer
ISBN: 3540379460
Category : Mathematics
Languages : en
Pages : 257
Get Book
Book Description
Author: L. M. Kelly
Publisher:
ISBN: 9783662176252
Category :
Languages : en
Pages : 260
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Book Description
Author: Leroy Milton Kelly
Publisher:
ISBN:
Category : Convex sets
Languages : en
Pages : 244
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Book Description
Author: Ernst Snapper
Publisher: Elsevier
ISBN: 1483269337
Category : Mathematics
Languages : en
Pages : 456
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Book Description
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.
Author: Stefan Rolewicz
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 296
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Book Description
Author: Raymond W. Freese
Publisher: Nova Publishers
ISBN: 9781590330197
Category : Mathematics
Languages : en
Pages : 314
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Book Description
Author: Herbert Busemann
Publisher: Princeton University Press
ISBN: 140088229X
Category : Mathematics
Languages : en
Pages : 243
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Book Description
The description for this book, Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8), will be forthcoming.
Author: Stefan Rolewicz
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 298
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Book Description
Author: Gerard Walschap
Publisher: Springer Science & Business Media
ISBN: 0387218262
Category : Mathematics
Languages : en
Pages : 235
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Book Description
This book offers an introduction to the theory of differentiable manifolds and fiber bundles. It examines bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres.
Author: Martin R. Bridson
Publisher: Springer Science & Business Media
ISBN: 3662124947
Category : Mathematics
Languages : en
Pages : 665
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Book Description
A description of the global properties of simply-connected spaces that are non-positively curved in the sense of A. D. Alexandrov, and the structure of groups which act on such spaces by isometries. The theory of these objects is developed in a manner accessible to anyone familiar with the rudiments of topology and group theory: non-trivial theorems are proved by concatenating elementary geometric arguments, and many examples are given. Part I provides an introduction to the geometry of geodesic spaces, while Part II develops the basic theory of spaces with upper curvature bounds. More specialized topics, such as complexes of groups, are covered in Part III.
