Geometry of Convex Sets, Leonard, Lewis New 9781119022664 Fast Free Shipping^+

Geometry of Convex SetsAuthor(s): I. E. Leonard, J. E. Lewis\nFormat: Hardback\nPublisher: John Wiley & Sons Inc, United States\nImprint: John Wiley & Sons Inc\nISBN-13: 9781119022664, 978-1119022664\nSynopsis\nA gentle introduction to the geometry of convex sets inn-dimensional space Geometry of Convex Setsbegins with basic definitions of the concepts of vector addition and scalar multiplication and then defines the notion of convexity for subsets ofn-dimensional space. Many properties of convex sets can be discovered using just the linear structure. However, for more interesting results, it is necessary to introduce the notion of distance in order to discuss open sets, closed sets, bounded sets, and compact sets. The book illustrates the interplay between these linear and topological concepts, which makes the notion of convexity so interesting. Thoroughly class-tested, the book discusses topology and convexity in the context of normed linear spaces, specifically with a no.