Systems of linear inequalities / A.S. Solodovnikov ; translated and adapted from the Russian edition by Lawrence M. Glasser and Thomas P. Branson.

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Standard Title 
Sistemy lineĭnykh neravenstv. English

Subjects 
Inequalities (Mathematics)
Inégalités (Mathématiques) Ungleichung. 
Series 
Popular lectures in mathematics.
Survey of recent East European mathematical literature. 
Description 
viii, 81 pages : illustrations ; 23 cm.

Copyright Date 
1980.

Notes 
Translation of Sistemy lineĭnykh neravenstv.
Includes bibliographical references. 
Summary 
This volume describes the relationship between systems of linear inequalities and the geometry of convex polygons, examines solution sets for systems of linear inequalities in two and three unknowns (extension of the processes introduced to systems in any number of unknowns is quite simple), and examines questions of the consistency or inconsistency of such systems. Finally, it discusses the field of linear programming, one of the principal applications of the theory of systems of linear inequalities. A proof of the duality theorem of linear programming is presented in the last section. Back cover.

Contents 
Several facts from analytic geometry  Geometric interpretation of a system of linear inequalities in two and three unknowns  The convex hull of a point set  Convex polyhedral cones  The solution domain of a system of inequalities in two unknowns  The solution domain of a system in three unknowns  Systems of linear inequalities in a arbitrary number of unknowns  Inconsistent systems  Dual convex polyhedral cones  The duality theorem of linear programming.

Network Numbers 
(OCoLC)5126287
(OCoLC)ocm05126287 
WorldCat  Search OCLC WorldCat 
WorldCat Identities  Solodovnikov, A. S.
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