Robert Sedgewick and the late Philippe Flajolet have drawn from both classical mathematics and computer science, integrating discrete mathematics, elementary real analysis, combinatorics, algorithms, and data structures. They emphasize the mathematics needed to support scientific studies that can serve as the basis for predicting algorithm performance and for comparing different algorithms on the basis of performance.
Techniques covered in the first half of the book include recurrences, generating functions, asymptotics, and analytic combinatorics. Structures studied in the second half of the book include permutations, trees, strings, tries, and mappings. Numerous examples are included throughout to illustrate applications to the analysis of algorithms that are playing a critical role in the evolution of our modern computational infrastructure.
Improvements and additions in this new edition includeUpgraded figures and code An all-new chapter introducing analytic combinatorics Simplified derivations via analytic combinatorics throughout
The book’s thorough, self-contained coverage will help readers appreciate the field’s challenges, prepare them for advanced results—covered in their monograph Analytic Combinatorics and in Donald Knuth’s The Art of Computer Programming books—and provide the background they need to keep abreast of new research.
"[Sedgewick and Flajolet] are not only worldwide leaders of the field, they also are masters of exposition. I am sure that every serious computer scientist will find this book rewarding in many ways."
—From the Foreword by Donald E. Knuth
To the outside world, Dawn was a successful businesswoman. No one knew that every waking minute of her day was controlled by her husband Stuart. She had been subjected to years of coercion – belittled, threatened and hit. He told her that she belonged to him, that he would do horrific things to her if she left.
Dawn met Stuart when she was fourteen. She had already been abused by her older brother as a child and was all too easily groomed by this local businessman who seemed to love her. Pregnant at sixteen, rejected by her parents, she ended up marrying him. And then it started, the long campaign to break her. She was forced to work all hours for Stuart, making money for him to spend. Then one day Dawn found the strength to fight back – against the brother who abused her, and the husband who made her life hell. To have her freedom and get revenge on Stuart she would risk losing everything . . .