This 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.
General
Imprint: |
Dover Publications Inc.
|
Country of origin: |
United States |
Series: |
Dover Books on Mathematics |
Release date: |
February 2007 |
First published: |
2007 |
Authors: |
H.G. Eggleston
|
Dimensions: |
215 x 140 x 10mm (L x W x T) |
Format: |
Paperback
|
Pages: |
165 |
ISBN-13: |
978-0-486-45846-5 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
Euclidean geometry
|
LSN: |
0-486-45846-6 |
Barcode: |
9780486458465 |
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