How mathematicians think : using ambiguity, contradiction, and paradox to create mathematics / William Byers.
Material type:
TextPublication details: Princeton : Princeton University Press, c2007.Description: vii, 415 p. : ill. ; 24 cmISBN: - 9780691127385 (acidfree paper)
- 0691127387 (acidfree paper)
- 510.92 22
- BF456.N7 B94 2007
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Monograph ( Printed materials)
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ARRUPE LIBRARY Main Collection | Main Collection | BF456.N7 B94 2007 (Browse shelf(Opens below)) | Available | 46500003229 |
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| BF432.3 .G365 2006 Five minds for the future / | BF432.3 .G365 2008 Five minds for the future / | BF441 .K445 2002 Classical and quantum mental models and Freud's theory of unconscious/conscious mind / | BF456.N7 B94 2007 How mathematicians think : | BF456.R2 D36 2009 Reading in the brain : | BF463.M4 F38 1997 Mappings in thought and language / | BF463.U5J44 2002 Embracing uncertainty : |
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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