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 ...
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.
By the way, there's a mnemonic for remembering which case uses floors and which uses ceilings: Half-open intervals that include the left endpoint but not the right (such as 0 ≤ θ < 1) are slightly more common than those that include the right endpoint but not the left; and floors are slightly more common than ceilings. So by Murphy's Law, the correct rule is the opposite of what we'd expect -- ceilings for [α..β) and floors for (α..β]. (查看原文)
(摘自本人博客:http://blog.zhenghui.org/2013/07/24/magic-of-math/ 或:http://en.zhenghui.org/2013/05/18/magic-of-math_CN/) 人民邮电出版社出版的《具体数学——计算机科学基础》译自经典名著 《Concrete Mathematics: A Foundation for Computer Science》。 简单地...
(展开)
0 有用 喵赖赖 2010-09-04 18:36:34
just have fun
0 有用 感冒的冬天 2010-08-08 02:37:18
只看了部分,很好的书,有趣的排版和吐槽,因为时间有限,后面的部分暂时不看了。
0 有用 宇宙 2009-02-13 14:47:14
好书啊,- -,就是英文版读得有点吃力~
0 有用 宅家囤积瓶盖 2008-08-14 10:49:03
Knuth爷爷
0 有用 yang_bigarm 2010-04-01 17:38:35
经典中的经典,希望能中文版能够再版。
0 有用 littlestar 2023-02-10 03:25:50 中国澳门
基本上是在介绍各种trick?
0 有用 笨猫 2021-05-10 01:40:49
千古奇书《混凝土数学》,得此一本秘籍则天下可得也。
0 有用 风乍起 2021-04-20 00:01:52
偶尔翻一两个小问题,没有通读和做题是不完整的。
0 有用 长门有希 2021-02-07 15:37:02
太难了
0 有用 Andes熊猫 2020-11-12 22:50:18
Recurrent Problems, Sums