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The foundations of mathematics

Author: Ian Stewart; David Orme Tall
Publisher: Oxford ; New York : Oxford University Press, 1977.
Edition/Format:   Print book : Juvenile audience : EnglishView all editions and formats
Summary:

This is a book for readers in transition from `school mathematics' to the fully fledged type of thinking used by professional mathematicians.

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Material Type: Juvenile audience, Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Ian Stewart; David Orme Tall
ISBN: 0198531648 9780198531647 0198531656 9780198531654
OCLC Number: 4465328
Description: ix, 263 pages : illustrations ; 23 cm
Contents: The intuitive background --
Mathematical thinking --
Number systems --
The beginnings of formalization --
Sets --
Relations --
Functions --
Mathematical logic --
Mathematical proof --
The development of axiomatic systems --
Natural numbers and proof by induction --
The real numbers --
The real numbers as a complete ordered field --
Complex numbers and beyond --
Cardinal numbers --
Strengthening the foundations --
Axioms for set theory.
Responsibility: Ian Stewart and David Tall.
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