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Lectures on Mathematical Theory of Extremum Problems

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Cover of 'Lectures on Mathematical Theory of Extremum Problems'

Table of Contents

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    Book Overview
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    Chapter 1 Editor’s Preface
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    Chapter 2 Introduction
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    Chapter 3 Topological Linear Spaces, Convex Sets, Weak Topologies
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    Chapter 4 Hahn-Banach Theorem
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    Chapter 5 Supporting Hyperplanes and Extremal Points
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    Chapter 6 Cones, Dual Cones
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    Chapter 7 Necessary Extremum Conditions (Euler-Lagrange Equation)
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    Chapter 8 Directions of Decrease
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    Chapter 9 Feasible Directions
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    Chapter 10 Tangent Directions
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    Chapter 11 Calculation of Dual Cones
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    Chapter 12 Lagrange Multipliers and the Kuhn-Tucker Theorem
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    Chapter 13 Problem of Optimal Control. Local Maximum Principle
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    Chapter 14 Problem of Optimal Control. Maximum Principle
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    Chapter 15 Problem of Optimal Control. Constraints on Phase Coordinates, Minimax Problem
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    Chapter 16 Sufficient Extremum Conditions
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    Chapter 17 Sufficient Extremum Conditions. Examples
Attention for Chapter 8: Directions of Decrease
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