PROFESSIONAL DREAM ANALYSIS, DREAM INFO & SEARCHABLE DREAM LIBRARY
ADVANCES in MATH due to Problem-Solving Dreams
INSIGHTS FROM DREAMS ADVANCE THE FIELD OF MATHEMATICS.Dreams continue to bring innovations into science and the arts and have also presented astonishing solutions in mathematics as the following examples show.
MATHEMATICAL GENIUS, RAMANUJAN’S ANALYTIC THEORY.Srinivasa Ramanujan was one of India's great mathematical geniuses. He made substantial contributions to analytical theory of numbers and worked on elliptical functions, continued fractions, and infinite series. In 1914, he was invited in to Cambridge University by English mathematician G. H. Hardy who recognized his unconventional genius. Ramanujan worked there for five years producing amazing results that proved over 3,000 theorems in his lifetime.
According to Ramanujan, Insight came many times in dreams. A Hindu goddess would appear and present math formulas which he verified after waking. Such dreams often recurred and this connection of dreams as a source was constant throughout his life. Here is a description of one mathematical discovery that came in a dream:
While asleep I had an unusual experience. There was a red screen formed by flowing blood. As I observed it, a hand began to write on the screen, writing a number of results in elliptic integrals which stuck in my mind. As soon as I woke up, I wrote them down.
A friend noted how common his dream experiences were, explaining:
"Ramanujan was staying with my father in Madras. Both of them often worked on math problems till 11:30 pm. Often Ramanujan would get up around 2 a.m. and write something down. When asked about this, he explained he had worked out math solutions in his dreams and was jotting down results to remember them." [Ramanujan, the Man and the Mathematician, S. R. Ranganathan, 1967]
ALBERT EINSTEIN'S THEORY OF RELATIVITY.A young Albert Einstein conceived the theory of relativity in a dream. He dreamed he was sledding down a steep mountain, going faster and faster, approaching the speed of light, which caused the stars in his dream to change their appearance.Meditating on that dream, Einstein eventually worked out his extraordinary scientific achievement, the principle of relativity.
MATHEMATICIAN HENRI POINCAREtried day after day to discover a general method by which a whole group of equations could be solved. In his biography, he described that one night he retired after thinking deeply on the problem for a long time, and went to sleep. Awakening during the night, he wrote feverishly, but hardly remembered what he wrote. When he got up the next morning he was astonished to find several sheets of paper on his table, on which he had worked out a complete solution to the problem.