幾何学テキスト１（初版第４刷）<br>Geometry I (Universitext) （1st ed. 1987. Corr. 4th printing）

幾何学テキスト１（初版第４刷）
Geometry I (Universitext) （1st ed. 1987. Corr. 4th printing）

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  • 製本 Paperback:紙装版/ペーパーバック版／ページ数 430 p.
  • 商品コード 9783540116585

基本説明

Transl. from the French by M. Cole, S. Levy.

Full 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.

Contents

Notation and background.- Group actionsAffine 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.