The foundations of mathematics / Ian Stewart and David Tall.

Author/creator Stewart, Ian, 1945-
Other author Tall, David Orme.
Format Electronic
EditionSecond Edition.
Publication InfoOxford : Oxford University Press, 2015.
Descriptionxvi, 391 pages : illustrations ; 23 cm
Supplemental ContentFull text available from Ebook Central - Academic Complete
Subjects

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.
Bibliography noteIncludes bibliographical references (pages 383-385) and index.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2014946122
ISBN9780198706434 (pbk.)
ISBN019870643X (pbk.)
ISBN9780198706441 (hbk.)
ISBN0198706448 (hbk.)

Availability

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Electronic Resources Access Content Online ✔ Available