Pushing Back the Incomputable — Alan Turing's Ten Big Ideas
There is nothing remarkable about mathematicians' achievements going unrecognised in a wider world changed by their discoveries. The hidden history of Alan Turing is just a particularly bizarre example — one we can expect to become much better known during the 2012 centenary of his birth...
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On Demons and Oracles
The concept of digital computation which emerged from the works of Church, Turing and Gödel is an important achievement of the last century. A large variety of mathematical models o fcomputers and computations have been developed. Turing machines, lambda-calculus, combinatory logic, recursive functions, Markov algorithms, register machines are among the best known classical models...
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Turing's Mathematical Theory of Morphogenesis
One of the fascinating aspects of the natural world is the diversity of shapes that make up the animal and plant kingdoms: the intricate patterns on a sunflower, the dramatic antlers on a stag, animal coat markings. The list is endless...
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Turing's Paper on Rounding-Off Errors in Matrix Processes
Before 1940, solving a set of η linear equations with η ≥ 10 was regarded as a very challenging problem. Several direct methods were used for solving linear equations, but only during the 1940s did mathematicians realise that most of those direct methods were closely related to...
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