The Foundations of Mathematics Stewart Ian & David Tall

Stewart Ian & David Tall :
Paperback: 280 pages
Publisher: OUP Oxford; 3rd edition (1 Dec. 1977)
Language: English
ISBN-10: 0198531656
ISBN-13: 978-0198531654
Product Dimensions: 21.6 x 1.6 x 14 cm
"There are many textbooks available for a so-called transition course from calculus to abstract mathematics. I have taught this course several times and always find it problematic. The Foundations of Mathematics (Stewart and Tall) is a horse of a different color. The writing is excellent and there is actually some useful mathematics. I definitely like this book."--The Bulletin of Mathematics Books
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Contents

Machine derived contents note: I: The intuitive background
1. Mathematical thinking
2. Number systems
II: The beginnings of formalization
3. Sets
4. Relations
5. Functions
6. Mathematical logic
7. Mathematical proof
III: The development of axiomatic systems
8. Natural numbers and proof by induction
9. The real numbers
10. The real numbers as a complete ordered field
11. Complex numbers and beyond
12. Cardinal numbers
IV: Strengthening the foundations
13. Axioms for set theory
References
Index.

Notes

Includes index.
Bibliography: p. [259]

Language

English

ISBN

0198531656 (pbk.)
0198531648 :

Dewey Number

512
511/​.3


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Stewart Ian & David Tall