# Concrete Mathematics

### A FOUNDATION FOR COMPUTER SCIENCE

## GRAHAM * KNUTH * PATASHNIK

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, amd to discover subtle patterns in data. It is an indispensible 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 extension 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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