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Geometry and Convexity

A Study in Mathematical Methods. Pure & Applied Mathematics

Genres: Geometry, Topology
Format: Hardback
Publisher: John Wiley and Sons Ltd, New York, United States
Imprint: John Wiley & Sons Inc
Published: 31st Jul 1979
Dimensions: w 150mm h 230mm
Weight: 510g
ISBN-10: 047104637X
ISBN-13: 9780471046370
Barcode No: 9780471046370
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.

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