Description
Despite growing interest, basic information on methods and models for mathematically analyzing algorithms has rarely been directly accessible to practitioners, researchers, or students. An Introduction to the Analysis of Algorithms, Second Edition, organizes and presents that knowledge, fully introducing primary techniques and leads to the field.
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 strengthen 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 one half of the book include permutations, trees, strings, tries, and mappings. A large number of examples are included during 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 include
- Upgraded 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 give you the background they want to keep abreast of new research.
“[Sedgewick and Flajolet] don’t seem to be only world wide leaders of the field, they also are masters of exposition. I am sure that each and every serious computer scientist will find this book rewarding in many ways.”
—From the Foreword by Donald E. Knuth