書誌事項

Geometry

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

(Universitext)

Springer-Verlag, 1994-1996, c1987

Corr. 2nd print

  • 1 : gw
  • 1 : us
  • 2 : gw

タイトル別名

Géométrie

大学図書館所蔵 件 / 11

この図書・雑誌をさがす

注記

Includes bibliographical references and indexes

内容説明・目次

巻冊次

1 : gw ISBN 9783540116585

内容説明

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.

目次

  • 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.
巻冊次

2 : gw ISBN 9783540170150

内容説明

This is the second of a two-volume textbook that provides a very readable and lively presentation of large parts of geometry in the classical sense. For each topic the author presents a theorem that is esthetically pleasing and easily stated, although the proof may be quite hard and concealed. Yet another strong trait of the book is that it provides a comprehensive and unified reference source for the field of geometry in the full breadth of its subfields and ramifications.

目次

  • Polytopes
  • compact convex sets.- Quadratic forms.- Projective quadrics.- Affine quadrics.- Projective conics.- Euclidean conics.- The sphere for its own sake.- Elliptic and hyperbolic geometry.- The space of spheres.

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詳細情報

  • NII書誌ID(NCID)
    BA36458070
  • ISBN
    • 3540116583
    • 0387116583
    • 3540170154
  • LCCN
    94242207
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 原本言語コード
    fre
  • 出版地
    Berlin
  • ページ数/冊数
    2 v.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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