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Problems in Geometry: Problem Books in Mathematics

Autor Marcel Berger, P. Pansu, J. -P. Berry, X. Saint-Raymond Traducere de Silvio Levy
en Limba Engleză Paperback – dec 2010
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.
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Specificații

ISBN-13: 9781441928221
ISBN-10: 1441928227
Pagini: 276
Ilustrații: VIII, 268 p. 46 illus.
Dimensiuni: 155 x 235 x 16 mm
Greutate: 0.42 kg
Ediția:Softcover reprint of hardcover 1st ed. 1984
Editura: Springer
Colecția Problem Books in Mathematics
Seria Problem Books in Mathematics

Locul publicării:New York, NY, United States

Public țintă

Research

Cuprins

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.