Geometric Methods and Optimization Problems: 4 - Rilegato

Boltyanski, Vladimir; Martini, H.; Soltan, V.

 
9780792354543: Geometric Methods and Optimization Problems: 4

Sinossi

VII Preface In many fields of mathematics, geometry has established itself as a fruitful method and common language for describing basic phenomena and problems as well as suggesting ways of solutions. Especially in pure mathematics this is ob­ vious and well-known (examples are the much discussed interplay between lin­ ear algebra and analytical geometry and several problems in multidimensional analysis). On the other hand, many specialists from applied mathematics seem to prefer more formal analytical and numerical methods and representations. Nevertheless, very often the internal development of disciplines from applied mathematics led to geometric models, and occasionally breakthroughs were b~ed on geometric insights. An excellent example is the Klee-Minty cube, solving a problem of linear programming by transforming it into a geomet­ ric problem. Also the development of convex programming in recent decades demonstrated the power of methods that evolved within the field of convex geometry. The present book focuses on three applied disciplines: control theory, location science and computational geometry. It is our aim to demonstrate how methods and topics from convex geometry in a wider sense (separation theory of convex cones, Minkowski geometry, convex partitionings, etc.) can help to solve various problems from these disciplines.

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Contenuti

I. Nonclassical Variational Calculus. II. Median Problems in Location Science. III. Minimum Convex Partitions of Polygonal Domains.

Product Description

Book by Boltyanski Vladimir Martini Horst Soltan V

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Altre edizioni note dello stesso titolo

9781461374275: Geometric Methods and Optimization Problems: 4

Edizione in evidenza

ISBN 10:  1461374278 ISBN 13:  9781461374275
Casa editrice: Springer Nature, 2014
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