Numbers, Sets and Axioms
The Apparatus of Mathematics
By (author) Alan G. Hamilton
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Numbers, Sets and Axioms by Alan G. Hamilton
Book DescriptionFollowing the success of Logic for Mathematicians, Dr Hamilton has written a text for mathematicians and students of mathematics that 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 emphasises the intuitive basis of mathematics; the basic notions are numbers and sets and they are considered both informally and formally. The role of axiom systems is part of the discussion but their limitations are pointed out. Formal set theory has its place in the book but Dr Hamilton recognises that this is a part of mathematics and not the basis on which it rests. Throughout, the abstract ideas are liberally illustrated by examples so this account should be well-suited, both specifically as a course text and, more broadly, as background reading. The reader is presumed to have some mathematical experience but no knowledge of mathematical logic is required.
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Book DetailsISBN: 9780521287616
(228mm x 152mm x 15mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 13-Jan-1983
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.
Logic for Mathematicians, Paperback (September 1988)
This is an introductory textbook which is designed to be useful not only to intending logicians but also to mathematicians in general.
First Course in Linear Algebra, Paperback (September 1987)» View all books by Alan G. Hamilton
This is a short, readable introduction to basic linear algebra, as usually encountered in a first course.
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