William Ackermann was one of Hilbert's student who went on to become a highly respected mathematician in his own right. He is best remembered for the Ackermann's function, a multiply recursive function often used to illustrate the technique in courses dealing with programming of computers to scientific applications. The second work here, based on Hilbert's lecture notes for his course in the foundations of mathematics, was translated from the second German edition of 1937. Hugely popular, it was reissued over many decades.
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