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He was born in [[Watford]] on 17 July 1909 the son of Arthur John Walker (b.1879), a coach builder, and his wife, Eleanor Joanna Gosling.<ref>http://www-history.mcs.st-andrews.ac.uk/Biographies/Walker_Arthur.html</ref>
Walker attended [[Watford Grammar School for Boys]] and won a scholarship to [[Balliol College, Oxford]], where he graduated with first class honours in Mathematics.<ref name="MCreg">{{cite book|editor1-last=Levens|editor1-first=R.G.C.|title=Merton College Register 1900-1964|date=1964|publisher=[[Basil Blackwell]]|location=Oxford|page=232}}</ref> He then studied at [[Merton College, Oxford]] and completed his doctorate at the [[University of Edinburgh]].<ref name=MCreg /><ref>{{cite web | title = A. G. Walker| publisher = [[The Times]]| year = 2001| url = http://www-groups.dcs.st-and.ac.uk/~history/Obits/Walker_Arthur.html | accessdate =2008-10-13 }}</ref>
==Academic career==
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