离散数学

László Lovász

出版时间

2006-08-31

ISBN

9787302138266

评分

★★★★★
书籍介绍

本书包括组合、图论及它们在优化和编码等领域的应用。全书只有约300页,但涵盖了信息领域一些广泛而有趣的应用,及离散数学领域新颖而前沿的研究课题。

本书非常适合计算机科学、信息与计算科学等专业作为“离散数学”引论课程的教材或参考书。

精彩摘录
  • "It is important to realize that there is no mathematics without proofs. You won't be able to learn any mathematics without dirtying your hands and trying out the ideas you learn about in the solutions of problems."
  • "If you want to know why the tree is growing upside down, ask the computer scientists who introduced this convention.(The conventional wisdom is that they never went out of the room, and they never saw a real tree.)"
  • "You may wonder why we needed two proofs. Certainly not because a single proof would not have given enough confidence in the truth of the statement! Unlike in a legal procedure, a mathematical proof either gives absolute certainty or else it is useless. No matter how many incomplete proofs we give, t"
  • "Exercise. We shoot 50 shots at a square target, the side of which is 70 cm long. We are quite a good shot, because all of our shots hit the target. Prove that there are two bulletholes that are closer than 15 cm. Solution: Imagine that our target is an old chessboard. One row and one column of it ha"
  • "Chess seating in Diane's sense."
  • "For example, it could easily happen that A CROC BIT SIMON. And it may be true that Napoleon always wanted a TOMB IN CORSICA. It is questionable, but certainly grammatically correct, to assert that COB IS ROMANTIC. Some universities may have a course on MAC IN ROBOTICS. But one would have to write a "
  • "Lemma 2.5.1 For every x > 0, \[\frac{x - 1}{x} \le \ln(x) \le x - 1\]"
  • "Primes are strange (as we'll see) and in their irregular sequence, many strange patterns can be observed, which than fail if we move on to larger numbers."
目录
Preface
1 Lets Count!
2 Combinatorial Tools
3 Binomial Coefficients and Pascals Triangle
4 Fibonacci Numbers

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用户评论
大三时候就是在这门课上见到了个巨tm聪明的十四岁小朋友!每次都是他爸爸替他背书包送进教室坐在第一排,上课不时打断老师指出板书当中的错误或者解题方法的低效,但tm每次都是对的就很气人哈哈哈,我坐在下面一脸懵逼,期末狗过就跑路了…
写的非常有意思,难度适中,适合入门
简单,不过还是学了一点东西
我是傻逼。
全英文,读起来有点吃力
虽然简单,但是很喜欢这本书的写作模式或者说写作风格。(尤其是离散数学来说)
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