Unsolved Problems in Geometry: Unsolved Problems in Intuitive MathematicsSpringer Science & Business Media, 6 dec 2012 - 199 pagina's Mathematicians and non-mathematicians alike have long been fascinated by geometrical problems, particularly those that are intuitive in the sense of being easy to state, perhaps with the aid of a simple diagram. Each section in the book describes a problem or a group of related problems. Usually the problems are capable of generalization of variation in many directions. The book can be appreciated at many levels and is intended for everyone from amateurs to research mathematicians. |
Inhoudsopgave
A Convexity | 6 |
xiv | 41 |
B Polygons Polyhedra and Polytopes | 48 |
Tiling and Dissection | 79 |
Packing and Covering | 107 |
E Combinatorial Geometry | 131 |
F Finite Sets of Points | 149 |
G General Geometric Problems | 168 |
185 | |
Overige edities - Alles bekijken
Unsolved Problems in Geometry: Unsolved Problems in Intuitive Mathematics Hallard T. Croft,Kenneth J. Falconer,Richard K. Guy Geen voorbeeld beschikbaar - 1994 |
Unsolved Problems in Geometry: Unsolved Problems in Intuitive Mathematics Hallard T. Croft,Kenneth J. Falconer,Richard K. Guy Geen voorbeeld beschikbaar - 2013 |
Veelvoorkomende woorden en zinsdelen
3-dimensional Amer analogs asked ball Borsuk's conjecture boundary bounded Bull C. A. Rogers Cambridge Philos Canad centro-symmetric Chakerian chord combinatorial geometry configurations congruent copies conjecture constant width contains convex body convex hull convex polygon convex polyhedra convex sets cube curve Danzer diameter dimensions Discrete Math disk dissection distance edges Elem equidecomposable equilateral triangle Erdős Euclidean Euclidean space example faces Fejes Tóth Figure finite Geom given graphs Grünbaum Hadwiger hexagon Hungar inequalities integer intersection isoperimetric Klee Larman lattice points least length London Math Mathematical maximum minimal minimum Minkowski's theorem Monthly Moser n-gon Pach packing perimeter plane convex set plane set polyhedra polyhedron polyominoes polytopes possible problem Proc radius rectangle regular Reuleaux triangle Section set of points Shephard showed smallest sphere spherical square Steinhaus subset surface area symmetric tetrahedron theorem Theory tile the plane unit vertex vertices volume W. T. Tutte Z. A. Melzak