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9780198706441

The Foundations of Mathematics

by ;
  • ISBN13:

    9780198706441

  • ISBN10:

    0198706448

  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 2015-05-01
  • Publisher: Oxford University Press

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Author Biography


Ian Stewart, Emeritus Professor, University of Warwick,David Tall, Emeritus Professor, University of Warwick

Ian Stewart is Emeritus Professor of Mathematics at the University of Warwick. He remains an active research mathematician and is a Fellow of the Royal Society. Famed for his popular science writing and broadcasting, for which he is the recipient of numerous awards, his bestselling books include: Does God Play Dice?, Nature's Numbers, and Professor Stewart's Cabinet of Mathematical Curiosities. He also co-authored The Science of Discworld series with Terry Pratchett and Jack Cohen

David Tall is Emeritus Professor of Mathematical Thinking at the University of Warwick. Internationally known for his contributions to mathematics education, his most recent book is How Humans Learn to Think Mathematically (2013).

Table of Contents


I: The Intuitive Background
1. Mathematical Thinking
2. Number Systems
II: The Beginnings of Formalisation
3. Sets
4. Relations
5. Functions
III: The Development of Axiomatic Systems
8. Natural Numbers and Proof by Induction
9. Real Numbers
10. Real Numbers as a Complete Ordered Field
11. Complex Numbers and Beyond
IV: Using Axiomatic Systems
12. Axiomatic Structures and Structure Theorems
13. Permutations and Groups
14. Infinite Cardinal Numbers
15. Infinitesimals
V: Strengthening the Foundations
16. Axioms for Set Theory

Supplemental Materials

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The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

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