Vladimir Boltyanski

(Author)

Geometric Methods and Optimization Problems (Softcover Reprint of the Original 1st 1999)Paperback - Softcover Reprint of the Original 1st 1999, 9 January 2014

Geometric Methods and Optimization Problems (Softcover Reprint of the Original 1st 1999)
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Part of Series
Combinatorial Optimization
Print Length
432 pages
Language
English
Publisher
Springer
Date Published
9 Jan 2014
ISBN-10
1461374278
ISBN-13
9781461374275

Description

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.

Product Details

Authors:
Vladimir BoltyanskiHorst MartiniV Soltan
Book Edition:
Softcover Reprint of the Original 1st 1999
Book Format:
Paperback
Country of Origin:
NL
Date Published:
9 January 2014
Dimensions:
23.39 x 15.6 x 2.29 cm
ISBN-10:
1461374278
ISBN-13:
9781461374275
Language:
English
Location:
New York, NY
Pages:
432
Publisher:
Weight:
616.89 gm

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