Skip to content

Numbers, Sets and Axioms: The Apparatus of Mathematics
Stock Photo: Cover May Be Different

Numbers, Sets and Axioms: The Apparatus of Mathematics Hardcover - 1983 - 1st Edition

by A. G. Hamilton

From the publisher

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.

First line

First we consider what are the basic notions of mathematics, and emphasise the need for mathematicians to agree on a common starting point for their deductions.

Details

  • Title Numbers, Sets and Axioms: The Apparatus of Mathematics
  • Author A. G. Hamilton
  • Binding Hardcover
  • Edition number 1st
  • Edition 1
  • Pages 265
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press, Cambridge
  • Date February 28, 1983
  • ISBN 9780521245098 / 0521245095
  • Weight 1.25 lbs (0.57 kg)
  • Library of Congress subjects Set theory, Number theory
  • Library of Congress Catalog Number 82004206
  • Dewey Decimal Code 510

Hang on… we’re fetching the requested page.