How mathematicians think : using ambiguity, contradiction, and paradox to create mathematics / William Byers.
Material type:
TextPublication details: Princeton, N.J. ; Woodstock : Princeton University Press, 2007.Description: vii, 415 p. : ill. ; 24 cmISBN: - 9780691127385:
- 0691127387
- 510.92
- B94 2007
| Item type | Current library | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|
| General Lending | Carlow Campus Library General Lending | 510.92 (Browse shelf(Opens below)) | 1 | Available | 56633 |
Formerly CIP. Uk
Includes bibliographical references (p. 399-405) and index.
Acknowledgments -- Introduction : Turning on the light -- Section 1 : The light of ambiguity -- ch. 1. Ambiguity in mathematics -- ch. 2. The contradictory in mathematics -- ch. 3. Paradoxes and mathematics : infinity and the real numbers -- ch. 4. More paradoxes of infinity : geometry, cardinality, and beyond -- Section 2 : The light as idea -- ch. 5. The idea as an organizing principle -- ch. 6. Ideas, logic, and paradox -- ch. 7. Great ideas -- Section 3 : The light and the eye of the beholder -- ch. 8. The truth of mathematics -- ch. 9. Conclusion : is mathematics algorithmic or creative? -- Notes -- Bibliography -- Index.
[PART 1 Introduction: turning on the light] The light of ambiguity -- Ambiguity in mathematics -- The contradictory in mathematics -- Paradoxes and mathematics : infinity and the real numbers -- More paradoxes of infinity : geometry, cardinality, and beyond.
[PART 2 The light as idea] The idea as an organizing principle -- Ideas, logic, and paradox -- Great ideas -- The light and the eye of the beholder -- The truth of mathematics -- Conclusion : is mathematics algorithmic or creative?.
26.71