Problems in Geometry
Published on 1. December 2010
Book
Paperback/Softback
VIII, 268 pages
978-1-4419-2822-1 (ISBN)
Description
Written as a supplement to Marcel Berger's popular two-volume set, Geometry I and II (Universitext), this book offers a comprehensive range of exercises, problems, and full solutions. Each chapter corresponds directly to one in the relevant volume, from which it also provides a summary of key ideas. Where the original Geometry volumes tend toward challenging problems without hints, this book offers a wide range of material that begins at an accessible level, and includes suggestions for nearly every problem. Bountiful in illustrations and complete in its coverage of topics from affine and projective spaces, to spheres and conics, Problems in Geometry is a valuable addition to studies in geometry at many levels.
More details
Series
Edition
Softcover reprint of hardcover 1st ed. 1984
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
46 s/w Abbildungen
VIII, 268 p. 46 illus.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 16 mm
Weight
423 gr
ISBN-13
978-1-4419-2822-1 (9781441928221)
DOI
10.1007/978-1-4757-1836-2
Schweitzer Classification
Other editions
Additional editions
Marcel Berger | P. Pansu | J.-P. Berry
Problems in Geometry
Book
10/1984
Springer
€74.89
Shipment within 5-7 days
Persons
Content
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.