000 01462nam a2200277Ia 4500
001 CU10558
008 250306s9999 xx 000 0 und d
020 _a9780486458465
020 _c726.6
082 _a516.2 EGG
100 _aH.G. Eggleston
245 0 _aProblems in Euclidean Space
245 0 _bApplication of Convexity
260 _aNew York
260 _bDover Publications
260 _c1957
300 _avii, 160p.
520 _aThis text for advanced undergraduates and graduate students examines problems concerning convex sets in real Euclidean spaces of two or three dimensions. It illustrates the different ways in which convexity can enter into the formulation as the solution to different problems in these spaces.Problems in Euclidean Space features four chapters that develop an increasingly dominant influence of convexity. In the first chapter, convexity plays a minor role; the second chapter considers problems originally stated in a wider context that can be reduced to problems concerning convex sets. In the third chapter, the problems are defined strictly for convex sets and not for more general sets, and the final chapter discusses properties of subclasses of the class of convex sets.
546 _aEnglish
650 _aEuclidean Geometry
650 _aGeometry
650 _aMathematics
942 _cText Book
999 _c25063
_d25063