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Curved Spaces: From Classical Geometries to Elementary Differential Geometry
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Curved Spaces: From Classical Geometries to Elementary Differential Geometry Paperback - 2007

by P. M. Wilson

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Reader reviews for Curved Spaces: From Classical Geometries to Elementary Differential Geometry

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This self-contained 2007 textbook presents an exposition of the well-known classical two-dimensional geometries, such as Euclidean, spherical, hyperbolic, and the locally Euclidean torus, and introduces the basic concepts of Euler numbers for topological triangulations, and Riemannian metrics. The careful discussion of these classical examples provides students with an introduction to the more general theory of curved spaces developed later in the book, as represented by embedded surfaces in Euclidean 3-space, and their generalization to abstract surfaces equipped with Riemannian metrics. Themes running throughout include those of geodesic curves, polygonal approximations to triangulations, Gaussian curvature, and the link to topology provided by the Gauss-Bonnet theorem. Numerous diagrams help bring the key points to life and helpful examples and exercises are included to aid understanding. Throughout the emphasis is placed on explicit proofs, making this text ideal for any student with a basic background in analysis and algebra.

Details

  • Title Curved Spaces: From Classical Geometries to Elementary Differential Geometry
  • Author P. M. Wilson
  • Binding Paperback
  • Edition INTERNATIONAL ED
  • Pages 198
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press, India
  • Publication date 2007-12-13
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index, Table of Contents
  • ISBN 9780521713900 / 0521713900
  • Weight 0.9 lbs (0.41 kg)
  • Dimensions 9.6 x 6.8 x 0.6 in (24.38 x 17.27 x 1.52 cm)
  • Category Mathematics
  • Library of Congress subjects Curves, Algebraic
  • Library of Congress Catalogue Number 2008271816
  • Dewey Decimal Code 516.352

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Curved Spaces: From Classical Geometries to Elementary Differential Geometry
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Curved Spaces: From Classical Geometries to Elementary Differential Geometry

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Curved Spaces: From Classical Geometries to Elementary Differential Geometry
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Curved Spaces: From Classical Geometries to Elementary Differential Geometry

by Wilson, P. M. H

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Curved Spaces: From Classical Geometries to Elementary Differential Geometry

Curved Spaces: From Classical Geometries to Elementary Differential Geometry

by P. M. H. Wilson

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Paperback / softback. New. The well-known classical geometries, Euclidean, spherical and hyperbolic, are presented here in a general context, each linked by certain geometric themes. This 2007 textbook provides for a thorough introduction to, and examples of, the more general theory of curved spaces, and more generally, abstract surfaces with Riemannian metrics.
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Curved Spaces: From Classical Geometries to Elementary Differential Geometry

Curved Spaces: From Classical Geometries to Elementary Differential Geometry

by P. M. H. Wilson

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Paperback. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; The well-known classical geometries, Euclidean, spherical and hyperbolic, are presented here in a general context, each linked by certain geometric themes. This 2007 textbook provides for a thorough introduction to, and examples of, the
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Curved Spaces: From Classical Geometries to Elementary Differential Geometry
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Curved Spaces: From Classical Geometries to Elementary Differential Geometry

by Wilson, P. M. H

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9780521713900 / 0521713900
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Cambridge University Press, 2008-01-14. Illustrated. paperback. New. 6.69x0.45x9.61. Buy with confidence. Excellent Customer Service & Return policy.
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Curved Spaces
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Curved Spaces

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Curved Spaces: From Classical Geometries to Elementary Differential Geometry
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Curved Spaces: From Classical Geometries to Elementary Differential Geometry

by Wilson, P. M. H.

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Curved Spaces
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Curved Spaces

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CURVED SPACES
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CURVED SPACES

by WILSON

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Curved Spaces
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Curved Spaces

by Wilson, P M H,

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