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Numbers, Sets and Axioms - The Apparatus of Mathematics (Paperback)
Loot Price: R1,650
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Numbers, Sets and Axioms - The Apparatus of Mathematics (Paperback)
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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.
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