Only algorithms make the use of computers possible. In this book, a bestseller in its original English edition, the authors provide comprehensive information on all questions related to the topic of algorithms: for example, regarding the computability, correctness, and efficiency of algorithms, programming techniques, and also current issues in quantum computing. The book can serve as the foundation for a one-semester introductory course in computer science or as an introduction to computer science in the natural sciences, mathematics, or engineering.