The Real Projective Plane
E412208
The Real Projective Plane is a classic mathematical monograph by H. S. M. Coxeter that systematically develops the geometry and topology of the real projective plane, emphasizing its axiomatic foundations and non-Euclidean properties.
All labels observed (1)
| Label | Occurrences |
|---|---|
| The Real Projective Plane canonical | 1 |
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical monograph ⓘ |
| approach |
axiomatic
ⓘ
geometric ⓘ rigorous ⓘ |
| audience |
advanced undergraduates in mathematics
ⓘ
graduate students in mathematics ⓘ research mathematicians interested in geometry ⓘ |
| author | H. S. M. Coxeter ⓘ |
| category |
geometry books
ⓘ
mathematics books ⓘ topology books ⓘ |
| contains |
axiomatic treatment of incidence geometry
ⓘ
discussion of coordinate systems for the projective plane ⓘ discussion of duality in projective geometry ⓘ examples of non-orientable surfaces ⓘ figures illustrating projective configurations ⓘ topological description of the real projective plane ⓘ treatment of lines and points in the projective plane ⓘ |
| emphasis |
systematic development of the geometry of the real projective plane
ⓘ
systematic development of the topology of the real projective plane ⓘ |
| field |
mathematics
ⓘ
projective geometry ⓘ topology ⓘ |
| focus |
axiomatic foundations of projective geometry
ⓘ
non-Euclidean properties of the projective plane ⓘ |
| hasAuthorFullName |
H. S. M. Coxeter
ⓘ
surface form:
Harold Scott MacDonald Coxeter
|
| hasMainTopic |
properties of lines and points in projective geometry
ⓘ
structure of the real projective plane ⓘ topological model of the projective plane ⓘ |
| influenced | later textbooks on projective geometry ⓘ |
| isAbout |
geometric models of the projective plane
ⓘ
two-dimensional real projective space ⓘ |
| language | English ⓘ |
| notableFor |
clear exposition of the real projective plane
ⓘ
integration of geometric and topological viewpoints ⓘ |
| relatedTo |
homogeneous coordinates
ⓘ
incidence geometry ⓘ non-Euclidean geometry ⓘ projective transformations ⓘ real projective space ⓘ |
| subject | real projective plane ⓘ |
| teaches |
basic properties of non-orientable surfaces
ⓘ
concept of duality between points and lines ⓘ concept of projective equivalence ⓘ |
| usedIn |
self-study by mathematicians
ⓘ
university courses on projective geometry ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.