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Concrete Mathematics: A Foundation for Computer Science

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THIS BOOK IS BASED on a course of the same name that has been taught
annually at Stanford University since 1970. About fifty students have taken it
each year-juniors and seniors, but mostly graduate students-and alumni
of these classes have begun to spawn similar courses elsewhere. Thus the time
seems ripe to present the material to a wider audience (including sophomores).
It was a dark and stormy decade when Concrete Mathematics was born.
Long-held values were constantly being questioned during those turbulent
years; college campuses were hotbeds of controversy. The college curriculum
itself was challenged, and mathematics did not escape scrutiny. John Hammersley
had just written a thought-provoking article “On the enfeeblement of
mathematical skills by ‘Modern Mathematics’ and by similar soft intellectual
trash in schools and universities” [145]; other worried mathematicians [272]
even asked, “Can mathematics be saved?” One of the present authors had
embarked on a series of books called The Art of Computer Programming, and
in writing the first volume he (DEK) had found that there were mathematical
tools missing from his repertoire; the mathematics he needed for a thorough,
well-grounded understanding of computer programs was quite different from
what he’d learned as a mathematics major in college. So he introduced a new
course, teaching what he wished somebody had taught him.
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