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A crucial link between mathematics and music is nicely illustrated by the Tonnetz, a geometric diagram representing the harmonic relationships between the notes of the musical scale. An early version of the Tonnetz appeared in Leonhard Euler’s book Tentamen novae theoriae musicae (A new theory of music), published in 1739 [TM274 or search for “thatsmaths” at ...
With unique and outstanding achievements in mathematics and science, John von Neumann was on an intellectual level far above us; the oft-misused term genius truly applies to him. Von Neumann, brilliant in both pure and applied mathematics, was a towering figure of 20th century science. As a child, he demonstrated a prodigious memory and computational … href="https://thatsmath...
