Marcel Berger,
P. Pansu,
J.-P. Berry,
X. Saint-Raymond
e.a.
Springer New York
1984e druk, 1984
9780387909714
Problems in Geometry
Specificaties
Gebonden, 268 blz.
|
Engels
Springer New York |
1984e druk, 1984
ISBN13: 9780387909714
Rubricering
Onderdeel van serie
Problem Books in Mathematics
Levertijd ongeveer 8 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9780387909714
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:268
Uitgever:Springer New York
Druk:1984
Inhoudsopgave
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.