Algebraic Projective Geometry

Erscheinungsjahr 1998
ISBN: 978-0-19-850363-7
Verlag: OUP Oxford

Buch, Englisch, 412 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 629 g

Reissued in the Oxford Classic Texts in the Physical Sciences series, and first published in 1952, this book has been recommended to generations of students. It provides a clear and systematic introduction to projective geometry, building on concepts from linear algebra.

" [Topics are] presented with a simplicity and clarity of treatment. This interesting book may be warmly recommended."
Mathematical Gazette

Autoren/Hrsg.

Semple, J. G.

Kneebone, G. T.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

- Part 1: The Origins and Development of Geometrical Knowledge

- 1: The concept of geometry

- 2: The analytical treatment of geometry

- Part 2: Abstract Projective Geometry

- 3: Projective geometry of one dimension

- 4: Projective geometry of two dimensions

- 5: Conic logic and conic envelopes

- 6: Further properties of conics

- 7: Linear systems of conics

- 8: Higher correspondences: apolarity, and the theory of invariants

- 9: Transformations of the plane

- 10: Projective geometry of three dimensions

- 11: The quadric

- 12: The twisted cubic curve and cubic surfaces

- 13: Linear systems of quadrics

- 14: Linear transformations of space

- 15: Line geometry

- 16: Projective geometry of n dimensions