本书是一本在大学中广泛使用的经典数学教科书。书中讲解了许多计算机科学中用到的数学知识和技巧，教你如何把一个实际问题一步步演化为数学模型，然后通过计算机解决它，特别着墨于算法分析方面，其主要内容涉及和式、整值函数、数论、二项式系数、特殊的数、生成函数、离散概率、渐近式等，都是编程所必备的知识。
书中不仅讲述了数学问题和技巧，而且教导解决问题的方法，解说深入浅出，妙趣横生。大师们诙谐、细腻的笔触，描绘着数学工作中的欢乐和忧伤，那些或平淡、或深刻、或严肃、或幽默的涂鸦，更让我们在轻松愉悦的心境下体会数学的美妙。
本书面向从事计算机科学、计算数学、计算技术诸方面工作的人员，以及高等院校相关专业的师生。

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 mater is primarily an expansion of the Mathematical Preliminaries section in Knuth's c1assic 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.