HYPERBOLIC GEOMETRY (Broché)

James-W Anderson

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  • Springer

  • Paru le : 20/11/1999
  • 1 million de livres à découvrir
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The geometry of the hyperbolic plane has been an active and fascinating field of mathematical inquiry for most of the past two centuries. This book provides a self-contained introduction to the subject, taking the approach that hyperbolic geometry consists of the study of those quantities invariant under the action of a natural group of transformations. Topics covered include the upper half-space model of the hyperbolic plane, Möbius transformations, the general Möbius group and the subgroup preserving path length in the upper half-space model, arc-length and distance, the Poincaré disc model, convex subsets of the hyperbolic plane, the Gauss-Bonnet formula for the area of a hyperbolic polygon and its applications. The style and level of the book, which assumes few mathematical prerequisites, make it an ideal introduction to this subject and provide the reader with a firm grasp of the concepts and techniques of this beautiful area of mathematics. The Springer Undergraduate Mathematics Series (SUMS) is a new series for undergraduates in the mathematical sciences. From core foundational material to final year topics, SUMS books take a fresh and modern approach and are ideal for self-study or for a one- or two-semester course. Each book includes numerous examples, problems and fully-worked solutions.
    • The Basic Spaces
    • The General Möbius Group
    • Length and Distance in H
    • Other Models of the Hyperbolic Plane
    • Convexity, Area, and Trigonometry
    • Groups Acting on H.
  • Date de parution : 20/11/1999
  • Editeur : Springer
  • Collection : undergraduate mathematics
  • ISBN : 1-85233-156-9
  • EAN : 9781852331566
  • Présentation : Broché
  • Nb. de pages : 230 pages
  • Poids : 0.405 Kg
  • Dimensions : 17,1 cm × 23,5 cm × 1,5 cm

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James-W Anderson - HYPERBOLIC GEOMETRY.
HYPERBOLIC GEOMETRY
44,60 €
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