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. Major topics include: *Sums *Recurrences *Integer functions *Elementary number theory *Binomial coefficients *Generating functions *Discrete probability *Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them. 0201558025B04062001
很多人估计想知道关于这本书的两个问题: 1. 这本书在讲什么? 2. 我为什么要读这本书? == 具体数学在讲什么 == 数学中始终有一种趋势,就是哪位神人发明了一种全新的数学(结构),依靠这种"新"数学,以前的属于此类的高难度问题轻而易举被扫除,其轻易程度甚至可以使用计算...
评分具体数学(Concrete Mathematics),从字面上它和传统的“抽象数学”对立。序里面说,名字其实是连续(CONtinuous)和离散(disCRETE)的融合。不过名字不重要,内容主要是说在计算机科学领域内遇到的问题和传统数学常常不太合拍,传统数学的方法和理念往往不容易用来解决计算机问题...
评分具体数学(Concrete Mathematics),从字面上它和传统的“抽象数学”对立。序里面说,名字其实是连续(CONtinuous)和离散(disCRETE)的融合。不过名字不重要,内容主要是说在计算机科学领域内遇到的问题和传统数学常常不太合拍,传统数学的方法和理念往往不容易用来解决计算机问题...
评分认认真真读的第一本所谓经典的数学基础教材.作者的写法太飘逸,太销魂了,和国产的数学书,即使是同样topic的教材完全感受不同.不信,请瞧作者是如何演绎generating function的吧. 我觉得这么风骚的数学书,其口味需要一定的适应过程,而且,就我而言,如果对内容没有预先的领会兼之一...
评分今天先不写关于学习内容,以后再慢慢写吧。 今天中午书刚到手,我就已经迫不及待的想一窥芳容了(不过真心鄙视机械工业的排版,字小且密)。 学互联网计算机行业的都知道,这方面要学的东西很多很多,尤其是在你还处在学校并且对自己未来规划不是很明确的前提下。所以,可能会...
写的简单了点
评分看不懂
评分不用我多说吧。
评分写的简单了点
评分教科书,老师很厉害,剖析相当到位。这书自己学其实挺难的
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