John Horton Conway

Regular Algebra and Finite Machines (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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.

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Produktdetails

• Verlag: Guilford Publications
• Seitenzahl: 160
• Erscheinungstermin: 16. September 2012
• Englisch
• ISBN-13: 9780486310589
• Artikelnr.: 39139201

Autorenporträt

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."

Inhaltsangabe

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