Nguyen H App of Continuous Math to Computer Science 1997

Textbook in PDF format

This volume is intended to be used as a textbook for a special topic course in computer science. It addresses contemporary research topics of interest such as intelligent control, genetic algorithms, neural networks, optimization techniques, expert systems, fractals, and computer vision. The work incorporates many new research ideas, and focuses on the role of continuous mathematics.
Audience: This book will be valuable to graduate students interested in theoretical computer topics, algorithms, expert systems, neural networks, and software engineering.
Contents :
Front Matter
Algorithm Complexity: Two Simple Examples
Solving General Linear Functional Equations: an Application to Algorithm Complexity
Program Testing: A Problem
Optimal Program Testing
Optimal Choice of a Penalty Function: Simplest Case of Algorithm Design
Solving General Linear Differential Equations with Constant Coefficients: An Application to Constrained Optimization
Simulated Annealing: “Smooth” (Local) Discrete Optimization
Genetic Algorithms:“Non-Smooth” Discrete Optimization
RISC Computer Architecture and Internet Growth: Two Applications of Extrapolation
Systems of Differential Equations and Their Use in Computer-Related Extrapolation Problems
Network Congestion: An Example of Non-Linear Extrapolation
Neural Networks: A General form of Non-Linear Extrapolation
Expert Systems and the Basics of Fuzzy Logic
Intelligent and Fuzzy Control
Randomness, Chaos, and Fractals
Back Matter