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Overview
This book focuses on three disciplines of applied mathematics: control theory, location science and computational geometry. The authors show how methods and tools from convex geometry in a wider sense can help solve various problems from these disciplines. More precisely they consider mainly the tent method (as an application of a generalized separation theory of convex cones) in nonclassical variational calculus, various median problems in Euclidean and other Minkowski spaces (including a detailed discussion of the Fermat-Torricelli problem) and different types of partitionings of topologically complicated polygonal domains into a minimum number of convex pieces. Figures are used extensively throughout the book and there is also a large collection of exercises.
Audience: Graduate students, teachers and researchers.
Synopsis
This book focuses on three disciplines of applied mathematics: control theory, location science and computational geometry. The authors show how methods and tools from convex geometry in a wider sense can help solve various problems from these disciplines. More precisely they consider mainly the tent method (as an application of a generalized separation theory of convex cones) in nonclassical variational calculus, various median problems in Euclidean and other Minkowski spaces (including a detailed discussion of the Fermat-Torricelli problem) and different types of partitionings of topologically complicated polygonal domains into a minimum number of convex pieces. Figures are used extensively throughout the book and there is also a large collection of exercises.
Audience: Graduate students, teachers and researchers.
Booknews
Focuses on three applied disciplines: control theory, location science and computational geometry. The authors demonstrate how methods and topics from convex geometry in a wider sense, such as separation theory of convex cones, Minkowski geometry, and convex partitionings, can help solve various problems from these disciplines. They consider the tent method<-->as an application of a generalized separation theory of convex cones<-->in nonclassical variational calculus, various median problems in Euclidean and other Minkowski spaces, and different types of partitionings of topologically complicated polygonal domains into a minimum number of convex pieces. Figures and exercises are provided throughout the book. Annotation c. Book News, Inc., Portland, OR (booknews.com)