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  • © 1997

Applications of Continuous Mathematics to Computer Science

Part of the book series: Theory and Decision Library B (TDLB, volume 38)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xii
  2. Algorithm Complexity: Two Simple Examples

    • Hung T. Nguyen, Vladik Kreinovich
    Pages 1-20
  3. Program Testing: A Problem

    • Hung T. Nguyen, Vladik Kreinovich
    Pages 45-64
  4. Optimal Program Testing

    • Hung T. Nguyen, Vladik Kreinovich
    Pages 65-86
  5. Optimal Choice of a Penalty Function: Simplest Case of Algorithm Design

    • Hung T. Nguyen, Vladik Kreinovich
    Pages 87-107
  6. Simulated Annealing: “Smooth” (Local) Discrete Optimization

    • Hung T. Nguyen, Vladik Kreinovich
    Pages 131-152
  7. Genetic Algorithms:“Non-Smooth” Discrete Optimization

    • Hung T. Nguyen, Vladik Kreinovich
    Pages 153-173
  8. Network Congestion: An Example of Non-Linear Extrapolation

    • Hung T. Nguyen, Vladik Kreinovich
    Pages 225-250
  9. Neural Networks: A General form of Non-Linear Extrapolation

    • Hung T. Nguyen, Vladik Kreinovich
    Pages 251-274
  10. Expert Systems and the Basics of Fuzzy Logic

    • Hung T. Nguyen, Vladik Kreinovich
    Pages 275-296
  11. Intelligent and Fuzzy Control

    • Hung T. Nguyen, Vladik Kreinovich
    Pages 297-322
  12. Randomness, Chaos, and Fractals

    • Hung T. Nguyen, Vladik Kreinovich
    Pages 323-350
  13. Back Matter

    Pages 351-419

About this book

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.

Reviews

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

Authors and Affiliations

  • New Mexico State University, Las Cruces, USA

    Hung T. Nguyen

  • University of Texas El Paso, El Paso, USA

    Vladik Kreinovich

Bibliographic Information

Buy it now

Buying options

eBook USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access