Geometry I

Softcover Nachdruck of the original 1. Auflage 1987
ISBN: 978-3-540-11658-5
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 432 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 1370 g

Reihe: Universitext

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.

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Berger, Marcel

Weitere Mitwirkende

Levy, S.

Cole, M.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines
• Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie

Inhaltsverzeichnis

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.