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Here is an online algorithms textbook, Algorithms, 4th Edition, hosted by Princeton University. It presents and covers all of the fundamental knowledge you need to understand and apply when using algorithms and data structures in your programming and application development. These are the most important algorithms and data structures in use today. The book uses specific applications to science, engineering, and industry to facilitate the concepts. Here is a list of the algorithms and clients in this textbook.

Algorithm Book Chapters:

Chapter 1: Fundamentals introduces a scientific and engineering basis for comparing algorithms and making predictions. It also includes our programming model.

Chapter 2: Sorting considers several classic sorting algorithms, including insertion sort, mergesort, and quicksort. It also includes a binary heap implementation of a priority queue.

Chapter 3: Searching describes several classic symbol table implementations, including binary search trees, red-black trees, and hash tables.

Chapter 4: Graphs surveys the most important graph processing problems, including depth-first search, breadth-first search, minimum spanning trees, and shortest paths.

Chapter 5: Strings investigates specialized algorithms for string processing, including string sorting, substring search, tries, regular expressions, and data compression.

Chapter 6: Context highlights connections to systems programming, scientific computing, commercial applications, operations research, and intractability.

Also, here are the Lecture Slides and Notes for Princeton's Algorithms and Data Structures course.

These algorithm course lectures target algorithms for sorting, searching, and string processing, as well, including geometric and graph algorithms. They include information on developing implementations, understanding their performance characteristics, and estimating their potential effectiveness in applications.

Algorithm Lectures:

1. Union-find
2. Analysis of algorithms
3. Stacks and queues
4. Elementary sorts
5. Efficient sorts
6. Advanced topics in sorting
7. Priority queues
8. Elementary symbol tables
9. Binary search trees
10. Balanced BSTs
11. Hashing
13. Undirected graphs
14. Directed graphs
15. Minimum spanning trees
16. Shortest paths
17. Radix sorts
18. Tries
19. Pattern matching DFA KMP
20. Data compression Huffman* LZW*
21. Geometric algorithms convex hulls
22. Geometric search sweep line intersection
23. Reductions
24. Combinatorial search The Longest Path [mp3]

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