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Concrete Mathematics: A Foundation for Computer Science

具体数学:计算机科学基础

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拉普拉斯小妖 2020-02-12 14:54:34


This book introduces the mathematics that supports advanced computer
programming and the analysis of algorithms. The primary aim of its
well-known authors is to provide a solid and relevant base of
mathematical skills - the skills needed to solve complex problems, to
evaluate horrendous sums, and to discover subtle patterns in data. It is
an indispensable text and reference not only for computer scientists -
the authors themselves rely heavily on it! - but for serious users of
mathematics in virtually every discipline.
Concrete Mathematics is a blending of CONtinuous and disCRETE
mathematics. "More concretely," the authors explain, "it is the
controlled manipulation of mathematical formulas, using a collection of
techniques for solving problems." The subject matter is primarily an
expansion of the Mathematical Preliminaries section in Knuth's classic
Art of Computer Programming, but the style of presentation is more
leisurely, and individual topics are covered more deeply. Several new
topics have been added, and the most significant ideas have been traced
to their historical roots. The book includes more than 500 exercises,
divided into six categories. Complete answers are provided for all
exercises, except research problems, making the book particularly
valuable for self-study.

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