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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Aharoni, Ron (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Hebrew
Publicado: New Jersey : World Scientific, 2014.
Temas:
Acceso en línea:Texto completo

MARC

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240 1 0 |a Matemaṭiḳah, shirah ṿe-yofi.  |l English 
245 1 0 |a Mathematics, poetry, and beauty /  |c Ron Aharoni, Technion, Israel Institute of Technology, Israel. 
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505 0 |a 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. 
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