Algorithms Simplified

An algorithm is just a very patient, very precise recipe. If you can follow a recipe, you can learn algorithms.

Volume 5 of Algorithms Simplified finds the best way. On one town map you will meet Dijkstra, Bellman-Ford, shortest paths in task plans, Floyd-Warshall and A* search, all compared, then minimum spanning trees, network flow, push-relabel, matching and assignment, and Euler tours. The second part teaches greedy algorithms: when a safe choice exists, how to prove it, scheduling, Huffman coding, when greedy fails, and online decisions such as rent or buy. The third part covers divide and conquer: recurrences, inversions and closest pairs, fast multiplication, the fast Fourier transform, and decrease and transform and conquer.

- Twin problems showing how one changed word changes the right strategy
- Worked problems, exercises with solutions, practice, challenge and thinking problems
- Optional formal proofs, including max-flow min-cut

Who it is for: self-learners, university students, working professionals and curious readers. No programming is needed to follow the ideas: every algorithm is told as a story, drawn as a picture and written in plain pseudocode. Readers who want to run the ideas will find tested Python for every algorithm in the free companion code.

Built for working alongside AI coding assistants: knowing the algorithms lets you ask an assistant for the right method, state the cases and the cost you need, spot an answer that is wrong or too slow, and test it before you trust it. The assistant writes the code faster; this book helps you design it well.