Cargando…
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 |
Tabla de Contenidos:
- 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.