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Geometry I
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Catalogue Information
Field name
Details
Dewey Class
516
Title
Geometry I ([EBook]) / edited by Marcel Berger.
Added Personal Name
Berger, Marcel. , 1927-
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer , 1987.
Physical Details
XIV, 432 pages, 426 illus. : online resource.
Series
Universitext
0172-5939
ISBN
9783540938156
Summary Note
This is the first part of the 2-volume textbook "Geometry" which provides a very readable and lively presentation of large parts of geometry in the classical sense. An attractive characteristic of the book is that it appeals systematically to the reader's intuition and vision, and illustrates the mathematical text with many figures. For each topic the author presents a theorem that is esthetically pleasing and easily stated - although the proof of the same theorem may be quite hard and concealed. Many open problems and references to modern literature are given. 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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-540-93815-6
Links to Related Works
Subject References:
Geometry
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Mathematics
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Authors:
Berger, Marcel. 1927-
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Berger, Marcel, 1927-
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editor
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Corporate Authors:
SpringerLink (Online service)
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Series:
Universitext
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Classification:
516
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