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Logic for Mathematicians By A. G. Hamilton

Logic for Mathematicians

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This is an introductory textbook which is designed to be useful not only to intending logicians but also to mathematicians in general.

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Logic for Mathematicians Summary


Logic for Mathematicians by A. G. Hamilton

Here is an introductory textbook which is designed to be useful not only to intending logicians but also to mathematicians in general. Based on Dr Hamilton's lectures to third and fourth year undergraduate mathematicians at the University of Stirling it has been written to introduce student or professional mathematicians, whose background need cover no more than a typical first year undergraduate mathematics course, to the techniques and principal results of mathematical logic. In presenting the subject matter without bias towards particular aspects, applications or developments, an attempt has been made to place it in the context of mathematics and to emphasise the relevance of logic to the mathematician. Starting at an elementart level, the text progresses from informal discussion to the precise description and use of formal mathematical and logical systems. The early chapters cover propositional and predicate calculus. The later chapters deal with Goedel's theorem on the incompleteness of arithmetic and with various undecidability and unsolvability results, including a discussion of Turing machines and abstract computability. Each section ends with exercises designed to clarify and consolidate the material in that section. Hints or solutions to many of these are provided at the end of the book. The revision of this very successful textbook includes new sections on Skolemisation and applying well-formed formulas to logic programming. Some corrections have been made and extra exercises added.

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Table of Contents


Preface; 1. Informal statement calculus; 2. Formal statement calculus; 3. Informal predicate calculus; 4. Formal predicate calculus; 5. Mathematical systems; 6. The Goedel incompleteness theorem; 7. Computability, unsolvability, undecidability; Appendix; Hints and solutions to selected exercises; References and further reading; Glossary of symbols; Index.

Additional information

CIN000302379
Logic for Mathematicians by A. G. Hamilton
A. G. Hamilton
Used - Very Good
Paperback
Cambridge University Press
1988-09-29
240
0521368650
9780521368650
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us.