Ramanujan Quotes

• Ningún matemático debería permitirse olvidar nunca que las matemáticas, más que cualquier otro arte o ciencia, son un juego de jóvenes. ... Galois murió a los veintiún años, Abel a los veintisiete, Ramanujan a los treinta y tres, Riemann a los cuarenta. Ha habido hombres que han hecho grandes trabajos más tarde; ... ... [pero] no conozco un solo caso de un gran avance matemático iniciado por un hombre después de los cincuenta. ... Un matemático puede seguir siendo suficientemente competente a los sesenta, pero es inútil esperar que tenga ideas originales.

  G. H. Hardy

  Arte, Ciencia, Pasado

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• Recuerdo que una vez fui a verle [a Ramanujan] cuando estaba enfermo en Putney. Yo había viajado en el taxi-cabina nº 1729, y le comenté que el número me parecía bastante aburrido, y que esperaba que no fuera un mal presagio. "No", me contestó, "es un número muy interesante; es el número más pequeño expresable como suma de dos cubos de dos maneras diferentes".

  G. H. Hardy

  Mentira, Dos, Números

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• ... each of the 24 modes in the Ramanujan function corresponds to a physical vibration of a string. Whenever the string executes its complex motions in space-time by splitting and recombining, a large number of highly sophisticated mathematical identities must be satisfied. These are precisely the mathematical identities discovered by Ramanujan.

  Michio Kaku

  Numbers, Space, Identity

  Michio Kaku (1995). “Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension”, p.173, Oxford University Press, USA

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• For my part, it is difficult for me to say what I owe to Ramanujan - his originality has been a constant source of suggestion to me ever since I knew him, and his death is one of the worst blows I have ever had.

  G. H. Hardy

  Blow, Suggestions, Originality

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• That was the wonderful thing about Ramanujan. He discovered so much, and yet he left so much more in his garden for other people to discover.

  Freeman Dyson

  Garden, People, Wonderful

  Freeman J. Dyson (1996). “Selected Papers of Freeman Dyson with Commentary”, p.190, American Mathematical Soc.

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• I read in the proof sheets of Hardy on Ramanujan: "As someone said, each of the positive integers was one of his personal friends." My reaction was, "I wonder who said that; I wish I had." In the next proof-sheets I read (what now stands), "It was Littlewood who said..."

  John Edensor Littlewood

  Friendship, Math, Wish

  John Edensor Littlewood, Béla Bollobás (1986). “Littlewood's Miscellany”, p.61, Cambridge University Press

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• Plenty of mathematicians, Hardy knew, could follow a step-by-step discursus unflaggingly-yet counted for nothing beside Ramanujan. Years later, he would contrive an informal scale of natural mathematical ability on which he assigned himself a 25 and Littlewood a 30. To David Hilbert, the most eminent mathematician of the day, he assigned an 80. To Ramanujan he gave 100.

  Robert Kanigel

  Nature, Science, Years

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• There is always more in one of Ramanujan's formulae than meets the eye, as anyone who sets to work to verify those which look the easiest will soon discover. In some the interest lies very deep, in others comparatively near the surface; but there is not one which is not curious and entertaining.

  G. H. Hardy

  Lying, Eye, Science

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• Srinivasa Ramanujan fue el hombre más extraño de todas las matemáticas, probablemente de toda la historia de la ciencia. Se le ha comparado con una supernova en erupción, iluminando los rincones más oscuros y profundos de las matemáticas, antes de ser trágicamente abatido por la tuberculosis a los 33 años, como Riemann antes que él. Trabajando totalmente aislado de las principales corrientes de su campo, fue capaz de recuperar por sí solo cien años de matemáticas occidentales. La tragedia de su vida es que gran parte de su trabajo se desperdició redescubriendo matemáticas conocidas.

  Michio Kaku

  Vida, Ciencia, Hombres

  "Hiperespacio: A Scientific Odyssey Through Parallel Universes, Time Warps, and the 10th Dimension". Libro de Michio Kaku, 24 de marzo de 1994.

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• The seeds from Ramanujan's garden have been blowing on the wind and have been sprouting all over the landscape.
  [On the stimulating effects of Ramanujan's mathematical legacy.]

  Freeman Dyson

  Garden, Wind, Legacy

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• They [formulae 1.10 - 1.12 of Ramanujan] must be true because, if they were not true, no one would have had the imagination to invent them.

  G. H. Hardy

  Imagination, Being True, Ifs

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• En la serie más simple de dígitos, [Ramanujan] detectó propiedades maravillosas: congruencias, simetrías y relaciones que habían pasado desapercibidas incluso para los teóricos más dotados.

  James R Newman

  Simplicity, Wonder, Congruence

  James R. Newman (1960). "El mundo de las matemáticas", p.367, Рипол Классик.

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• Sometimes in studying Ramanujan's work, [George Andrews] said at another time, "I have wondered how much Ramanujan could have done if he had had MACSYMA or SCRATCHPAD or some other symbolic algebra package."

  Robert Kanigel

  Math, Done, Study

  Robert Kanigel (2016). “The Man Who Knew Infinity: A Life of the Genius Ramanujan”, p.349, Simon and Schuster

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• There is great exhilaration in breaking one of these things. ... Ramanujan gives no hints, no proof of his formulas, so everything you do you feel is your own.[About verifying Ramanujan's equations in a newly found manuscript.]

  George Andrews

  Science, Giving, Hints

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