1. Introduction -- 2. Control Problem -- Notation and definitions, motivation of later results -- 3. Railroad Train Example -- Motivation of a “bang-bang principle,” the time optimal and minimum fuel problems -- 4. Controllability -- Restricted and unrestricted control, the controllability...

Capter 1 Introduction -- 1.1 Properties of Information -- 1.2 Levels of Information -- 1.3 Information Media -- 1.4 Reversible and Irreversible Processes -- I -- Capter 2 Noiseless Channels -- 3 Coding for Noiseless Channels -- 4 Joint Events, Natural Languages -- 5 Noisy Channel -- 6 Error...

I Basic Theories -- Dynamical Systems -- Economic Equilibrium -- Control as Programming in General Normed Linear Spaces -- to the Algebraic Theory of Linear Dynamical Systems -- Duality in Mathematical Programming -- Mathematical Theory of General Systems and some Economic Problems -- Convex...

I On the Origin of the Ideas -- 1. Origin in mathematical economics and mathematical physics. -- 2. Theory of motion in physics: Galileo, Newton, Euler, Lagrange, Hamilton. -- 3. Principle of Statics in economics and mechanics. -- 4. Idea of central principle of motion for economics. -- 5....

I: Overviews -- An Overview of Mechanical Theorem Proving -- Game Playing Programs: An Approach and An Overview -- GPS and Decision Making: An Overview -- Natural Language Question Answering Systems: 1969 -- II: Problems in Foundations -- The Role of Weltanschauung in Problem Solving and Inquiry...

Content -- § 1. Justification of the coordinate-free approach -- § 2. Vector-spaces -- a) Definition of a vector-space -- b) Inner products and semi-inner products -- c) Bases of a vector-space, orthogonal complement -- d) Linear functions, linear mappings and adjoint mappings -- e) Definition...

Preface -- I. Introductory Survey -- 1: A Survey of Derivative Characterization of Constrained Extrema -- II. Finite Dimensional Problems -- 2: Equality Constraints -- 3: Inequalities As Added Constraints -- 4: Extensions and Applications -- III. Variational Problems -- 5: The Problem of Bolza...