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ThatsMaths

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The Shape and Size of the Universe: Curvature is Key

Is the universe finite or infinite in extent? This question has been a preoccupation of philosophy for millennia, and scientists continue to grapple with it. Wherever infinity appears, paradox looms up. Given the finite speed of light, an infinite cosmos would have regions forever unknowable to us. But even a finite cosmos presents perplexities: if …


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Who Invented the Digital Computer? There’s No Simple Answer.

The simple question of who invented the digital computer has many possible answers. Several strands of development — both theoretical and practical — converged around 1950, and no single inventor can be identified. Before that time, numerous mechanical calculating machines were devised and constructed. These greatly facilitated the preparation of mathematical tables, crucial for...


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The Hindu-Arabic Numerals: a Blessing for Modern Civilisation

Directly opposite the RDS in Dublin, on the site of the former AIB headquarters, stand two impressive new office blocks separated by a plaza, Fibonacci Place. Leonardo Bonacci — known as Fibonacci, the son of Bonaccio — lived from 1170 to about 1245 AD. It is he who we must thank for bringing us the …


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Music and Maths are Inextricably Intertwined.

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 ...


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John von Neumann: Computer Wizard and AI Visionary

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 …


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