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Problems in geometry

Author: Marcel Berger
Publisher: New York : Springer-Verlag, ©1984.
Series: Problem books in mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
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Genre/Form: Problems and exercises
Aufgabensammlung
Problems, exercises, etc
Problèmes et exercices
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Marcel Berger
ISBN: 0387909710 9780387909714 3540909710 9783540909712
OCLC Number: 10726748
Notes: Translation of: Géométrie, problèmes de géométrie commentés et rédigés.
Includes index.
Description: viii, 266 pages : illustrations ; 25 cm.
Contents: 1. Groups Operating on a Set: Nomenclature, Examples, Applications.- 2. Affine Spaces.- 3. Barycenters; the Universal Space.- 4. Projective Spaces.- 5. Affine-Projective Relationship: Applications.- 6. Projective Lines, Cross-Ratios, Homographies.- 7. Complexifications.- 8. More about Euclidean Vector Spaces.- 9. Euclidean Affine Spaces.- 10. Triangles, Spheres, and Circles.- 11. Convex Sets.- 12. Polytopes; Compact Convex Sets.- 13. Quadratic Forms.- 14. Projective Quadrics.- 15. Affine Quadrics.- 16. Projective Conics.- 17. Euclidean Conics.- 18. The Sphere for Its Own Sake.- 19. Elliptic and Hyperbolic Geometry.- 20. The Space of Spheres.- Suggestions and Hints.- Solutions.- 1.- 2.- 3.- 4.- 5.- 6.- 7.- 8.- 9.- 10.- 11.- 12.- 13.- 14.- 15.- 16.- 17.- 18.- 19.- 20.
Series Title: Problem books in mathematics.
Other Titles: Géométrie, problèmes de géométrie commentés et rédigés.
Responsibility: Marcel Berger [and others] ; translated by Silvio Levy.
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