
Geometry I
Marcel Berger(Author)
Springer (Publisher)
Published on 21. January 2009
Book
Paperback/Softback
XIV, 432 pages
978-3-540-11658-5 (ISBN)
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.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1987
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
College/higher education
Professional and scholarly
Lower undergraduate
Illustrations
426 s/w Abbildungen
426 Illustrations, black and white; XIV, 432 p. 426 illus.
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
1370 gr
ISBN-13
978-3-540-11658-5 (9783540116585)
DOI
10.1007/978-3-540-93815-6
Schweitzer Classification
Persons
Content
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.