Algorithms

The leading introduction to computer algorithms in use today, including fifty algorithms every programmer should know

Princeton Computer Science professors, Robert Sedgewick and Kevin Wayne, survey the most important computer algorithms in use and of interest to anyone working in science, mathematics, and engineering, and those who use computation in the liberal arts. They provide a full treatment of data structures and algorithms for key areas that enable you to confidently implement, debug, and put them to work in any computational environment.

 Fundamentals:

• Basic programming models
• Data abstraction
• Bags, queues, and stacks
• Analysis of algorithms

 Sorting

• Elementary sorts
• Mergesort
• Quicksort
• Priority queues
• Applications

 Graphs

• Undirected graphs
• Directed graphs
• Minimum spanning trees
• Shortest paths

Strings

• String sorts
• Tries
• Substring search
• Regular expressions
• Data compression

These algorithms are generally ingenious creations that, remarkably, can each be expressed in just a dozen or two lines of code. As a group, they represent problem-solving power of amazing scope. They have enabled the construction of computational artifacts, the solution of scientific problems, and the development of commercial applications that would not have been feasible without them.

• Chapter 1: Fundamentals
• 1.1 Programming Model  
• 1.2 Data Abstraction
• 1.3 Queues, Stacks, and Bags
• 1.4 Analysis of Algorithms
• 1.5 Case Study: Union-Find
•  
• Chapter 2: Sorting
• 2.1 Elementary Sorts 2.1 Elementary Sorts
• 2.2 Mergesort
• 2.3 Quicksort
• 2.4 Priority Queues
• 2.5 Applications
•  
• Chapter 3: Searching
• 3.1 Symbol Tables 3.1 Symbol Tables
• 3.2 Binary Search Trees
• 3.3 Balanced Search Trees
• 3.4 Hash Tables
• 3.5 Applications
•  
• Chapter 4: Graphs
• 4.1 Undirected graphs 4.1 Undirected graphs
• 4.2 Directed graphs
• 4.3 Minimum Spanning Trees
• 4.4 Shortest Paths
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