Systems of Linear Inequalities (Little Mathematics Library)

Cover......Page 1
Title: SYSTEMS OF LINEAR INEQUALITIES......Page 3
© Mir Publishers, 1979......Page 4
CONTENTS......Page 5
Preface......Page 8
1. Some Facts from Analytic Geometry......Page 9
2. Visualization of Systems of Linear Inequalitiesin Two or Three Unknowns......Page 18
3. The Convex Hull of a System of Points......Page 23
4. A Convex Polyhedral Cone......Page 26
5. The Feasible Region of a System of Linear Inequalities in Two, Unknowns......Page 32
6. The Feasible Region of a System in Three Unknowns......Page 45
7. Systems of Linear Inequalities in Any Number of Unknowns......Page 53
8. The Solution of a System of Linear Inequalities by Successive Reduction of the Number of Unknowns......Page 58
9. Incompatable Systems......Page 65
10. A Homogeneous System of Linear Inequalities. The Fundamental Set of Solutions......Page 70
11. The Solution of a Nonhomogeneous System of Inequalities......Page 82
12. A Linear Programming Problem......Page 85
13. The Simplex Method......Page 92
14. The Duality Theorem in Linear Programming......Page 102
15. Transportation Problem......Page 108
TO THE READER......Page 125
METHOD OF SUCCESSIVE APPROXIMATIONS......Page 126
BASIC COMPUTATIONAL MATHEMATICS......Page 127
FUNDAMENTAL THEOREM OF ARITHMETIC......Page 128
INDUCTION IN GEOMETRY......Page 129
Back Cover......Page 131