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Design and Analysis of Algorithms
"The best programs are written so that computing machines can perform them quickly and so that human beings can understand them clearly. A programmer is ideally an essayist who works with traditional aesthetic and literary forms as well as mathematical concepts, to communicate the way that an algorithm works and to convince a reader that the results will be correct." -- Donald Knuth
I. Foundations
Chapters
1. The Role Of Algorithms
2. Getting Started
3. Growth Of Functions
4. Divide And Conquer
5. Randomized Algorithms
II. Sorting And Order Statistics
Chapters
6. Heapsort
7. Quicksort
8. Sorting In Linear Time
9. Medians And Order Statistics
III. Data Structures
Chapters
10. Elementary Data Structures
11. Hash Tables
12. Binary Search Trees
13. Red Black Trees
14. Augmenting Data Structures
IV. Advanced Design And Analysis Techniques
Chapters
15. Dynamic Programming
16. Greedy Algorithms
17. Amortized Analysis
V. Advanced Data Structures
Chapters
18. B Trees
19. Fibonacci Heaps
20. van Emde Boas Trees
21. Data Structures For Disjoint Sets
VI. Graph Algorithms
Chapters
22. Graph Algorithms
23. Minimum Spanning Trees
24. Single Source Shortest Paths
25. All Pairs Shortest Paths
26. Maximum Flow
VII. Selected Topics
Chapters
27. Multithreaded Algorithms
28. Matrix Operations
29. Linear Programming
30. Polynomials And The F F T
31. Number Theoretic Algorithms
32. String Matching
33. Computational Geometry
34. N P Completeness
35. Approximation Algorithms
Other Material
The Algorithm Museum
Mid-Term Exam Fall 2016
Mid-Term Exam Lessons
GitHub Repository