On a Routing Problem


Book Description

An attempt to determine an optimal route from one point to another, given a set of N cities, with every two linked by a road, and the times required to transverse these roads. The times are not directly proportional to the distances because of the varying quality of roads and quantities of traffic. The functional equation technique of dynamic programming, combined with approximation in policy space, yields an iterative algorithm which converges after a finite number if iterations bounded in advance.



















Introduction to Applied Linear Algebra


Book Description

A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.







Mathematical Foundations of Statistical Mechanics


Book Description

Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions. Chapters include Geometry and Kinematics of the Phase Space; Ergodic Problem; Reduction to the Problem of the Theory of Probability; Application of the Central Limit Theorem; Ideal Monatomic Gas; The Foundation of Thermodynamics; and more.