Geometry
著者
書誌事項
Geometry
（Universitext）
Springer-Verlag, 1994-1996, c1987
Corr. 2nd print
- 1 : gw
- 1 : us
- 2 : gw
- タイトル別名
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Géométrie
並立書誌 全1件
大学図書館所蔵 件 / 全11件
-
Berlin : v. 1414//B38//665415100166535,15100166543,
Berlin : v. 2414//B38//665615100166550,15100166568 -
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注記
Includes bibliographical references and indexes
内容説明・目次
- 巻冊次
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1 : gw ISBN 9783540116585
内容説明
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.
目次
- 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.
- 巻冊次
-
2 : gw ISBN 9783540170150
内容説明
This is the second of a two-volume textbook that provides a very readable and lively presentation of large parts of geometry in the classical sense. For each topic the author presents a theorem that is esthetically pleasing and easily stated, although the proof may be quite hard and concealed. 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.
目次
- Polytopes
- compact convex sets.- Quadratic forms.- Projective quadrics.- Affine quadrics.- Projective conics.- Euclidean conics.- The sphere for its own sake.- Elliptic and hyperbolic geometry.- The space of spheres.
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