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	ABOUT: [Introduction][History][Related areas][Subfields] POINTERS: [Texts][Software][Web links][Selected topics here] 51M: Real and Complex Geometry

Introduction

History

Applications and related fields

Subfields

• 51M04: Elementary problems in Euclidean geometries
• 51M05: Euclidean geometries (general) and generalizations
• 51M09: Elementary problems in hyperbolic and elliptic geometries
• 51M10: Hyperbolic and elliptic geometries (general) and generalizations
• 51M15: Geometric constructions
• 51M16: Inequalities and extremum problems, For convex problems, See 52A40
• 51M20: Polyhedra and polytopes; regular figures, division of spaces, See also 51F15
• 51M25: Length, area and volume, See also 26B15
• 51M30: Line geometries and their generalizations, See also 53A25
• 51M35: Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations), See also 14M15
• 51M99: None of the above but in this section

Parent field: 51: Geometry

Browse all (old) classifications for this area at the AMS.

Textbooks, reference works, and tutorials

Fenn, Roger: "What is the geometry of a surface?", Amer. Math. Monthly 90 (1983), no. 2, 87--98. MR84i:51027

Software and tables

Other web sites with this focus

Selected topics at this site

• Pointers to Grassmann geometry
• Placing equidistant points along a spiral
• The volume of a d-dimensional sphere of radius s is pi^(d/2)/(d/2)!s^d. You might want that spelled out a little bit.
• The sphere-volume page from the sci.math FAQ.
• Trisecting angles in the hyperbolic plane
• Can one trisect an angle in the hyperbolic plane? (no)
• Constructing the geodesic joining two points on Poincare disk