How mathematicians think : using ambiguity, contradiction, and paradox to create mathematics / William Byers.
Publication details: Princeton : Princeton University Press, c2007.Description: vii, 415 p. : ill. ; 24 cmISBN:- 9780691127385 (acidfree paper)
- 0691127387 (acid-free paper)
- 510.92 22
- BF456.N7 B94 2007
Item type | Current library | Shelving location | Call number | Copy number | Status | Date due | Barcode | |
---|---|---|---|---|---|---|---|---|
Book | NMC Library | Stacks | BF456 .N7 B94 2007 (Browse shelf(Opens below)) | 1 | Available | 33039001028280 |
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.
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