Regular Algebra and Finite Machines

Author:   John Horton Conway ,  Mathematics
Publisher:   Dover Publications Inc.
ISBN:  

9780486485836


Pages:   160
Publication Date:   28 September 2012
Format:   Paperback
Availability:   In Print   Availability explained
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Regular Algebra and Finite Machines


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Overview

World-famous mathematician John H. Conway based this classic text on a 1966 course he taught at Cambridge University. Geared toward graduate students of mathematics, it will also prove a valuable guide to researchers and professional mathematicians.His topics cover Moore's theory of experiments, Kleene's theory of regular events and expressions, Kleene algebras, the differential calculus of events, factors and the factor matrix, and the theory of operators. Additional subjects include event classes and operator classes, some regulator algebras, context-free languages, communicative regular algebra, axiomatic questions, the strength of classical axioms, and logical problems. Complete solutions to problems appear at the end.

Full Product Details

Author:   John Horton Conway ,  Mathematics
Publisher:   Dover Publications Inc.
Imprint:   Dover Publications Inc.
Dimensions:   Width: 13.50cm , Height: 0.80cm , Length: 21.50cm
Weight:   0.176kg
ISBN:  

9780486485836


ISBN 10:   0486485838
Pages:   160
Publication Date:   28 September 2012
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Preface Preliminaries to the Moore Theory 1. Moore's Theory of Experiments 2. Bombs and Detonators 3. Kleene's Theory of RegularEvents and Expressions 4. Kleene Algebra: the One-Variable Theorem 5. The Differential Calculus of Events 6. Factors and the Factor Matrix 7. The Theory of Operators: Biregulators 8. Event Classes and Operator Classes 9. Some Regulator Algebra 10. Context-Free Languages 11. Commutative Regular Algebra 12. Some Axiomatic Questions 13. The Strength of the Classical Axioms 14. Some Computational Techniques 15. Some Logical Problems Solutions to Problems Index

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Author Information

John Horton Conway is a Professor of Mathematics at Princeton and active in the theory of finite groups, number theory, coding theory, knot theory, and combinatorial game theory. The author of ten books, he has also contributed to many branches of recreational mathematics, including the invention of The Game of Life.

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