Bibliographic Information

Geometry

Marcel Berger ; translated from the French by M. Cole and S. Levy

(Universitext)

Springer-Verlag, 2004, c1987

Corr. 3rd print

  • 1 : gw

Other Title

Géométrie

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Note

"Title of the original Frenchi edition: Géométrie(Vols. 1-5). Published by CEDIC and Fernand Nathan, paris. c CEDIC and Fernand Nathan, paris 1977"--T.p. verso

Includes bibliographical references and indexes

Description and Table of Contents

Description

Volume I of this 2-volume textbook provides a lively and readable presentation of large parts of classical geometry. For each topic the author presents an esthetically pleasing and easily stated theorem - although the proof may be difficult and concealed. The mathematical text is illustrated with figures, open problems and references to modern literature, providing a unified reference to geometry in the full breadth of its subfields and ramifications.

Table of Contents

  • Notation and background.- Group actions: examples and applications.- Affine spaces.- Barycenters
  • the universal space.- Projective spaces.- Affine-projective relationship: applications.- Projective lines, cross-ratios, homographies.- Complexifications.- Euclidean vector spaces.- Euclidean affine spaces.- Triangles, spheres and circles.- Convex sets.

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Details
  • NCID
    BA84345541
  • ISBN
    • 3540116583
  • LCCN
    94242207
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Original Language Code
    fre
  • Place of Publication
    Berlin, Tokyo
  • Pages/Volumes
    xiii, 427 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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