算法导论英文版Introduction to Algorithms, Third Edition

算法导论英文版(Introduction to Algorithms, Third Edition).pdf如果开发者对于本文件有需要的可以参考，
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I Foundations
Introduction 3
1 The Role of Algorithms in Computing 5
1.1 Algorithms 5
1.2 Algorithms as a technology 11
2 Getting Started 16
2.1 Insertion sort 16
2.2 Analyzing algorithms 23
2.3 Designing algorithms 29
3 Growth of Functions 43
3.1 Asymptotic notation 43
3.2 Standard notations and common functions 53
4 Divide-and-Conquer 65
4.1 The maximum-subarray problem 68
4.2 Strassen’s algorithm for matrix multiplication 75
4.3 The substitution method for solving recurrences 83
4.4 The recursion-tree method for solving recurrences 88
4.5 The master method for solving recurrences 93
? 4.6 Proof of the master theorem 97
5 Probabilistic Analysis and Randomized Algorithms 114
5.1 The hiring problem 114
5.2 Indicator random variables 118
5.3 Randomized algorithms 122
? 5.4 Probabilistic analysis and further uses of indicator random variables
130
vi Contents
II Sorting and Order Statistics
Introduction 147
6 Heapsort 151
6.1 Heaps 151
6.2 Maintaining the heap property 154
6.3 Building a heap 156
6.4 The heapsort algorithm 159
6.5 Priority queues 162
7 Quicksort 170
7.1 Description of quicksort 170
7.2 Performance of quicksort 174
7.3 A randomized version of quicksort 179
7.4 Analysis of quicksort 180
8 Sorting in Linear Time 191
8.1 Lower bounds for sorting 191。