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Field name	Details
Dewey Class	519.6
Title	Geometric Methods and Optimization Problems ([EBook]) / by V. Boltyanski, H. Martini, V. Soltan.
Author	Boltyanski, Vladimir G.
Added Personal Name	Martini, Horst author.
Added Personal Name	Soltan, V. P. (Valeriĭ Petrovich) author.
Other name(s)	SpringerLink (Online service)
Publication	Boston, MA : Springer US , 1999.
Physical Details	VIII, 432 pages : online resource.
Series	Combinatorial Optimization 1388-3011 ; ; 4
ISBN	9781461553199
Summary Note	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.:
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4615-5319-9
Links to Related Works	Subject References: Calculus of variations . Combinatorics . Control theory . Convex geometry . Discrete geometry . Mathematical optimization . Numeric Computing . Numerical Analysis . Authors: author . Boltyanski, Vladimir G. . Soltan, V. P. (Valeriĭ Petrovich) . Corporate Authors: SpringerLink (Online service) . Series: Combinatorial Optimization . Classification: 519.6 .

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Geometric Methods and Optimization Problems

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