Amazon cover image
Image from Amazon.com

The foundations of mathematics

By: Contributor(s): Material type: TextTextPublication details: United Kingdom : Oxford University Press, ©2015.Edition: 2nd edDescription: xvi, 391 p. : ill. ; 25 cmISBN:
  • 9780198706434
Subject(s): DDC classification:
  • 511.3 23 STE-F
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.
Tags from this library: No tags from this library for this title. Log in to add tags.
Star ratings
    Average rating: 0.0 (0 votes)
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
Books Books IIITD Reference Mathematics REF 511.3 STE-F (Browse shelf(Opens below)) Available 007226
Total holds: 0
Browsing IIITD shelves, Shelving location: Reference, Collection: Mathematics Close shelf browser (Hides shelf browser)
REF 511.3 RUC-I Infinity and the mind : REF 511.3 SCH-L Logic for computer scientists REF 511.3 SOA-R Recursively enumerable sets and degrees : REF 511.3 STE-F The foundations of mathematics REF 511.3 VEL-H How to prove it : REF 511.322 FRI-S Sets and computations REF 511.322 JEC-S Set theory

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.

There are no comments on this title.

to post a comment.
© 2024 IIIT-Delhi, library@iiitd.ac.in