article_snippet.sent: Above, Alan Turing wrote that the Leibniz notation was 'extremely difficult'
article_snippet.sent: Alan Turing is best known for Alan Turing contribution to cracking the code used by the Germans in the Germans Enigma machines during the Second World War while working at at Bletchley Park, in Buckinghamshire.
article_snippet.sent: Alan Turing is often said to be the father of modern computing and artificial intelligence.
article_snippet.sent: Benedict Cumberbatch, who played Turing in the Oscar-nominated The Imitation Game, said: 'Alan Turing was a war hero, who broke the Enigma code helping to bring an end to World War II, the father of modern computing science, and a gay icon who lived in a time of intolerance and tragically committed suicide as a result. '
article_snippet.sent: Alan Turing impact on our everyday lives is enormous, and the thought of holding a manuscript by Alan Turing is thrilling.'
article_snippet.sent: Benedict Cumberbatch, who played Turing in the Oscar-nominated The Imitation Game (left), said: 'The thought of holding a manuscript by him is thrilling' Pages of notes show the inner workings of Turing's thoughts as Alan Turing helped break codes and decipher tests .
article_snippet.sent: The 56-page book bought in Cambridge contains Turing's thoughts on the clearly tricky 'Leibniz notation dx/dy'. '
article_snippet.sent: Prior to the sale, Andrew Hodges, a leading Turing scholar, said: 'Alan Turing was parsimonious with Alan Turing words and everything from Alan Turing pen has special value. '
article_snippet.sent: the notebook shines extra light on how, even when Alan Turing was enmeshed in great world events, Alan Turing remained committed to free-thinking work in pure mathematics.'
article_snippet.sent: The notes, which are highly personal, show Alan Turing working through different equations and considering different results .
article_snippet.sent: In some Alan Turing elaborates on Alan Turing conclusions, writing that one result 'is too subtle and makes an inconvenient definition'
article_snippet.sent: But Alan Turing died from cyanide poisoning in 1954, generally thought to have been an act of suicide as a consequence of the hormone treatment Alan Turing was undergoing as an alternative to imprisonment for Alan Turing homosexuality.
article_snippet.sent: Prime Minister Gordon Brown apologised on behalf of the British Government in 2009 for the way Alan Turing had been treated and Prime Minister Gordon Brown was granted a posthumous pardon in 2013.
article_snippet.sent: Cassandra Hatton, senior specialist in Fine Books and Manuscripts and the History of Science at Bonhams in New York, said: "This is a wonderful result and a fitting testament to Alan Turing impact and legacy. '
article_snippet.sent: It has been a great privilege to have been involved in this sale and we are immensely pleased that all the people who bid for this unique item and indeed the wider public have recognised Turing's importance and place in history.'