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MARC 21

Geometry I
Tag	Description
020	$a9783540938156
082	$a516
099	$aOnline resource: Springer
245	$aGeometry I$h[EBook]$cedited by Marcel Berger.
260	$aBerlin, Heidelberg$bSpringer$c1987.
300	$aXIV, 432 pages, 426 illus.$bonline resource.
336	$atext
338	$aonline resource
440	$aUniversitext,$x0172-5939
505	$aNotation 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.
520	$aThis 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700	$aBerger, Marcel.$d1927-$eeditor.
710	$aSpringerLink (Online service)
830	$aUniversitext,
856	$uhttp://dx.doi.org/10.1007/978-3-540-93815-6