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Mathematics, poetry, and beauty /
What does mathematics have to do with poetry? Seemingly, nothing. Mathematics deals with abstractions while poetry with emotions. And yet, the two share something essential: Beauty. Euclid alone has looked on beauty bare, says the title of a poem by Edna St. Vincent Millay. Mathematics, Poetry and B...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Hebrew |
| Publicado: |
New Jersey :
World Scientific,
2014.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Introduction: magic
- Mathematics and poetry
- Displacement
- Part I: Order. The curious case of the ants on the pole
- Hidden order
- To discover or to invent
- Order and beauty
- Mathematical harmonies
- Why [square root] 2 is not a rational number
- The real numbers
- The miracle of order
- Simple conjectures, complex proofs
- Independent events
- Part II: How mathematicians and poets think. Poetic image, mathematical image
- The power of the oblique
- Compression
- Mathematical ping-pong
- The book in heaven
- Poetical ping-pong
- Laws of conservation
- An idea from somewhere else
- Three types of mathematics
- Topology
- Matchmaking
- Imagination
- A magic number
- Reality or imagination
- Unexpected combinations
- What is mathematics?
- Deep tautologies
- Symmetry
- Impossibility
- Infinitely large
- Cantor's story
- The most beautiful proof?
- Paradoxes and oxymorons
- Self-reference and Gödel's Theorem
- Halfway to infinity: large numbers
- Infinitely small
- Infinitely many numbers having a finite sum
- Twists
- Part III: Two levels of perception. Knowing without knowing
- Content and husk
- Change
- Estrangement
- An endless encounter
- Appendix A: Mathematical fields
- Appendix B: Sets of numbers
- Appendix C: Poetical mechanisms mentioned in the book.