© 1987

Brains, Machines, and Mathematics


Table of contents

  1. Front Matter
    Pages i-xvi
  2. Michael A. Arbib
    Pages 1-14
  3. Michael A. Arbib
    Pages 15-29
  4. Michael A. Arbib
    Pages 30-48
  5. Michael A. Arbib
    Pages 49-90
  6. Michael A. Arbib
    Pages 91-120
  7. Michael A. Arbib
    Pages 121-142
  8. Michael A. Arbib
    Pages 143-161
  9. Michael A. Arbib
    Pages 162-188
  10. Back Matter
    Pages 189-202

About this book


This is a book whose time has come-again. The first edition (published by McGraw-Hill in 1964) was written in 1962, and it celebrated a number of approaches to developing an automata theory that could provide insights into the processing of information in brainlike machines, making it accessible to readers with no more than a college freshman's knowledge of mathematics. The book introduced many readers to aspects of cybernetics-the study of computation and control in animal and machine. But by the mid-1960s, many workers abandoned the integrated study of brains and machines to pursue artificial intelligence (AI) as an end in itself-the programming of computers to exhibit some aspects of human intelligence, but with the emphasis on achieving some benchmark of performance rather than on capturing the mechanisms by which humans were themselves intelligent. Some workers tried to use concepts from AI to model human cognition using computer programs, but were so dominated by the metaphor "the mind is a computer" that many argued that the mind must share with the computers of the 1960s the property of being serial, of executing a series of operations one at a time. As the 1960s became the 1970s, this trend continued. Meanwhile, experi­ mental neuroscience saw an exploration of new data on the anatomy and physiology of neural circuitry, but little of this research placed these circuits in the context of overall behavior, and little was informed by theoretical con­ cepts beyond feedback mechanisms and feature detectors.


artificial intelligence automata automata theory behavior cognition computer cybernetics finite automata intelligence knowledge learning mathematics neuroscience pattern recognition programming

Authors and affiliations

  1. 1.Departments of Biomedical Engineering, Computer Science, Electrical Engineering, Neurobiology, Physiology, and PsychologyUniversity of Southern CaliforniaLos AngelesUSA

Bibliographic information

  • Book Title Brains, Machines, and Mathematics
  • Authors Michael A. Arbib
  • DOI
  • Copyright Information Springer-Verlag New York 1987
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-96539-0
  • Softcover ISBN 978-1-4612-9153-4
  • eBook ISBN 978-1-4612-4782-1
  • Edition Number 2
  • Number of Pages XVI, 202
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Originally published by McGraw-Hill Book Company, Maidenhead, UK, 1964
  • Topics Artificial Intelligence
    Computer Communication Networks
    Numerical Analysis
  • Buy this book on publisher's site
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