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Applications of Continuous Mathematics to Computer Science : THEORY AND DECISION LIBRARY SERIES B, MATHEMATICAL AND STATISTICAL METHODS - Hung T. Nguyen

Applications of Continuous Mathematics to Computer Science

THEORY AND DECISION LIBRARY SERIES B, MATHEMATICAL AND STATISTICAL METHODS

Hardcover

Published: 31st October 1997
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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.

H.T. Nguyen and V. Kreinovich

Applications of Continuous Mathematics to Computer Science

"The book represents a fine state-of-the-art description of combinatorial optimization. The book presents not only a lot of well-known solutions but also a row of new results and demonstrates how to formulate and to answer original questions. The comprehensive book covers the scope of a normal textbook on combinatorial optimization and goes beyond the contents of such a book in several aspects, e.g.; this book contains complete proofs. To read this is very stimulating for all the researchers, practitioners, and students in combinatorial optimization."-OR-NEWS

Preface
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
Simulated Annealing Revisited
Software Cost Estimation
Electronic Engineering: How to Describe PN-Junctions
Log-Normal Distribution Justified: An Application to Computational Statistics
Optimal Robust Statistical Methods
How to Avoid Paralysis of Neural Networks
Estimating Computer Prices
Allocating Bandwidth on Computer Networks
Algorithm Complexity Revisited
How Can a Robot Avoid Obstacles: Case Study of Real-Time Optimization
Discounting in Robot Control: A Case Study of Dynamic Optimization
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780792347224
ISBN-10: 0792347226
Series: THEORY AND DECISION LIBRARY SERIES B, MATHEMATICAL AND STATISTICAL METHODS
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 419
Published: 31st October 1997
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 25.4 x 17.15  x 3.18
Weight (kg): 0.79