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How mathematicians think : using ambiguity, contradiction, and paradox to create mathematics /
"To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically - even algorithmically - from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, in...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
©2007.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Byers, William, |d 1943- | |
| 245 | 1 | 0 | |a How mathematicians think : |b using ambiguity, contradiction, and paradox to create mathematics / |c William Byers. |
| 260 | |a Princeton : |b Princeton University Press, |c ©2007. | ||
| 300 | |a 1 online resource (vii, 415 pages) : |b illustrations | ||
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| 504 | |a Includes bibliographical references (pages 399-405) and index. | ||
| 520 | 1 | |a "To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically - even algorithmically - from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results."--Jacket | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | 0 | |t Acknowledgments -- |t Introduction : Turning on the light -- |t Section 1 : The light of ambiguity |g ch. 1 -- |t Ambiguity in mathematics |g ch. 2 -- |t The contradictory in mathematics |g ch. 3 -- |t Paradoxes and mathematics : infinity and the real numbers |g ch. 4 -- |t More paradoxes of infinity : geometry, cardinality, and beyond -- |t Section 2 : The light as idea |g ch. 5. The -- |t idea as an organizing principle |g ch. 6 -- |t Ideas, logic, and paradox |g ch. 7 -- |t Great ideas -- |t Section 3 : The light and the eye of the beholder |g ch. 8. The -- |t truth of mathematics |g ch. 9 -- |t Conclusion : is mathematics algorithmic or creative? -- |t Notes -- |t Bibliography -- |t Index. |
| 546 | |a English. | ||
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| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 650 | 0 | |a Mathematicians |x Psychology. | |
| 650 | 0 | |a Mathematics |x Psychological aspects. | |
| 650 | 0 | |a Mathematics |x Philosophy. | |
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| 650 | 6 | |a Cognition numérique. | |
| 650 | 6 | |a Mathématiques |x Philosophie. | |
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