Logic for Mathematicians
2nd Revised edition
By (author) Alan G. Hamilton
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Logic for Mathematicians by Alan G. Hamilton
Book DescriptionHere 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 Godel'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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Book DetailsISBN: 9780521368650
(228mm x 152mm x 14mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 29-Sep-1988
Country of Publication: United Kingdom
Books By Author Alan G. Hamilton
Linear Algebra, Paperback (February 1990)
This enlarged version of the author's "A First Course in Linear Algebra" provides an introduction to linear algebra, starting at an elementary level. Throughout, emphasis is placed on applications of the subject in preference to more theoretical aspects.
First Course in Linear Algebra, Paperback (September 1987)
This is a short, readable introduction to basic linear algebra, as usually encountered in a first course.
Numbers, Sets and Axioms, Paperback (January 1983)» View all books by Alan G. Hamilton
This work contains a description and discussion of the fundamental conceptual and formal apparatus upon which modern pure mathematics relies. The author's intention is to remove some of the mystery that surrounds the foundations of mathematics. He emphasizes the intuitive basis of mathematics.
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