Algorithms

About this Book

Algorithms by Prof. Jeff Erickson (UIUC) is widely regarded as a modern masterpiece in theoretical computer science. This comprehensive volume covers algorithmic paradigms in unparalleled mathematical and conceptual depth. It starts with recursion, reduction, and backtracking, proving why divide-and-conquer strategies form the bedrock of computing. Dynamic Programming is demystified through classic interview problems like edit distance, subset sum, and shortest paths. Graph algorithms are thoroughly analyzed, from Depth-First and Breadth-First search to Dijkstra, Bellman-Ford, and Floyd-Warshall. It delves deep into network flows, maximum bipartite matching, minimum-cut duality, and Edmonds-Karp algorithms. Advanced topics include disjoint-set union-find trees, amortized analysis, string matching, and randomized data structures. NP-completeness, Cook-Levin reduction proofs, and approximation algorithms are explained with engaging rigor. Filled with clear diagrams, mathematical proofs, and thought-provoking problem sets, it prepares developers for elite engineering roles. It is an indispensable reference manual for software engineers, competitive programmers, and computer science students.