Numbers, Sets and Axioms by A G Hamilton

Numbers, Sets and Axioms by A G Hamilton

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Summary

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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Numbers, Sets and Axioms by A G Hamilton

Following 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.
SKU Unavailable
ISBN 13 9780521287616
ISBN 10 0521287618
Title Numbers, Sets and Axioms
Author A G Hamilton
Condition Unavailable
Binding Type Paperback
Publisher Cambridge University Press
Year published 1983-01-13
Number of pages 268
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.