Geometry and Convexity: A Study in Mathematical Methods

By Paul J. Kelly and Max L. Weiss

Book Overview

Helps students see mathematics as an organic whole by focusing on the geometric while presenting viewpoints and methods that require a general understanding and unification of previous mathematical backgrounds. Develops basic metric topological methods and algebraic needs. Reviews vector character of Euclidean n-space and familiar facts from linear algebra; concepts relevant to convex body theory; and the affine character of the space and the analogy between linear and affine concepts. Explains how n-dimensional convex bodies and surfaces of Euclidean n-spaces are identified and how basic properties are established, showing how to express fundamental concepts accurately and how to verify intuitive relations analytically in space of general dimensions. Also contains a selection of standard fundamental theorems. Excellent preparation for further study of convexity theory, optimization theory, or basic analysis, topology, and geometry.

• Format: Hardcover
• Language: English
• ISBN: 047104637X
• ISBN13: 9780471046370
• Release Date: May 1979
• Publisher: Wiley
• Length: 261 Pages
• Weight: 1.25 lbs.