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The foundations of mathematics / Ian Stewart and David Tall.

By: Contributor(s): Material type: TextTextPublication details: New York : Oxfor University Press. c2016.Edition: Second EditionDescription: xvi, 391 pages : illustrations ; 23 cmISBN:
  • 9780198706434 (pbk.)
  • 019870643X (pbk.)
  • 9780198706441 (hbk.)
  • 0198706448 (hbk.)
Subject(s): DDC classification:
  • 511.3 23
LOC classification:
  • QA9 .S755 2015
Contents:
Part I. The intuitive background -- 1. Mathematical thinking -- 2. Number systems -- Part II. The beginnings of formalisation -- 3. Sets -- 4. Relations -- 5. Functions -- 6. Mathematical logic -- 7. Mathematical proof -- Part 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 -- Part IV. Using axiomatic systems -- 12. Axiomatic systems, structure theorems, and flexible thinking -- 13. Permutations and groups -- 14. Cardinal numbers -- 15. Infinitesimals -- Part V. Strengthening the foundations -- 16. Axioms for set theory.
Item type: Book
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Current library Call number Status Notes Barcode
MARY IMMACULATE LIBRARY Processing Center QA9 .S755 2015 (Browse shelf(Opens below)) Not For Loan CTIE 08702-C

Includes bibliographical references (pages 383-385) and index.

Part I. The intuitive background -- 1. Mathematical thinking -- 2. Number systems -- Part II. The beginnings of formalisation -- 3. Sets -- 4. Relations -- 5. Functions -- 6. Mathematical logic -- 7. Mathematical proof -- Part 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 -- Part IV. Using axiomatic systems -- 12. Axiomatic systems, structure theorems, and flexible thinking -- 13. Permutations and groups -- 14. Cardinal numbers -- 15. Infinitesimals -- Part V. Strengthening the foundations -- 16. Axioms for set theory.

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