Description
Algorithms develops the fundamental principles of algorithm design and analysis with an emphasis on understanding the mathematical ideas underlying algorithms. The book begins with algorithms involving numbers and divide-and-conquer techniques, then develops graph algorithms, including graph decompositions and paths, followed by greedy algorithms and dynamic programming. It also introduces linear programming and reductions, examines NP-complete problems and approaches for dealing with computationally difficult problems, and concludes with an introduction to quantum algorithms. Throughout the book, algorithms are presented through carefully selected problems, mathematical analysis, practical applications, and historical context. The text combines intuitive explanations with rigorous reasoning and is designed to provide a foundation in algorithmic problem solving for students of computer science and related fields.
