Introduction to Algorithms (4/e)

Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, Clifford Stein

出版社

The MIT Press

出版时间

2022-03-22

ISBN

9780262046305

评分

★★★★★
书籍介绍
A comprehensive update of the leading algorithms text, with new material on matchings in bipartite graphs, online algorithms, machine learning, and other topics. Some books on algorithms are rigorous but incomplete; others cover masses of material but lack rigor. Introduction to Algorithms uniquely combines rigor and comprehensiveness. It covers a broad range of algorithms in depth, yet makes their design and analysis accessible to all levels of readers, with self-contained chapters and algorithms in pseudocode. Since the publication of the first edition, Introduction to Algorithms has become the leading algorithms text in universities worldwide as well as the standard reference for professionals. This fourth edition has been updated throughout. New for the fourth edition • New chapters on matchings in bipartite graphs, online algorithms, and machine learning • New material on topics including solving recurrence equations, hash tables, potential functions, and suffix arrays • 140 new exercises and 22 new problems • Reader feedback–informed improvements to old problems • Clearer, more personal, and gender-neutral writing style • Color added to improve visual presentation • Notes, bibliography, and index updated to reflect developments in the field • Website with new supplementary material
AI导读
核心看点
  • 算法领域权威经典,兼顾数学严谨性与全面性
  • 第四版新增机器学习、在线算法等前沿专题
  • 伪代码清晰,章节独立,适合系统学习算法设计
适合谁读
  • 计算机科学专业学生及算法研究人员
  • 希望深入理解算法原理的程序员
  • 备考研究生或从事算法开发的从业者
读前提醒
  • 需具备离散数学与概率论基础,建议配合视频课
  • 习题难度极大,不必强求全做,重在理解核心思想
  • 可参考官方Python源码辅助理解,结合第三版对照
读者共识
  • 内容包罗万象,数学推导严谨,是算法学习标杆
  • 自学难度较高,建议配合MIT公开课或教师手册
  • 第四版更易懂,但部分证明细节第三版可能更清晰

本导读基于书籍简介、目录、原文摘录、短评和书评生成,不等同于全文精读。

精彩摘录
  • "动态规划算法的设计可以分为如下四个步骤: 1 描述最优解的结构。 2 递归定义最优解的值。 3 按自底向上的方式计算最优解的值。 4 由计算出的结果构造一个最优解。"
  • "在最好的情况下,k=0,因此s'=s+q,并且立刻能得出偏移s+1,s+2,s+3,…s+q-1。"
  • "In the best case, k=0,so that s‘=s+q, and we immediately rule out shifts s+1,s +2;...,s+q-1."
  • "即π[q]是Pq的真后缀P的最长前缀长度。"
  • "π[q] is the length of the longest prefix of P that is a proper suffix of Pq."
  • "考虑对数组A中的n个数进行排序:首先找出A中的最小元素,并将其与A[1]中的元素进行交换。接着找出A中的次小元素,并将其与A[2]中的元素进行交换。对A中头n-1个元素继续这一过程。写出这个算法的伪代码,该算法称为选择排序(selection sort)。对这个算法来说,循环不变式是什么?为什么它仅需要在头n-1个元素上运行,而不是在所有n个元素上运行?以Θ形式写出选择排序的最佳和最坏情况下的运行时间。"
  • "如果一个节点是红的,则它的两个儿子都是黑的。"
  • "如果一个节点是红的,那它的父亲一定是黑的"
作者简介
Thomas H. Cormen is Emeritus Professor of Computer Science at Dartmouth College. Charles E. Leiserson is Edwin Sibley Webster Professor in Electrical Engineering and Computer Science at MIT. Ronald L. Rivest is Institute Professor at MIT. Clifford Stein is Wai T. Chang Professor of Industrial Engineering and Operations Research, and of Computer Science at Columbia University.
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