内容简介

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 results in 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 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 include * Upgraded figures and code * An all-new chapter introducing analytic combinatorics * Simplified derivations via analytic combinatorics throughoutThe 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

作者简介

Robed Sedgewick拥有斯坦福大学博士学位(导师为Donald E. Knuth)，昔林斯顿大学计算机科学系教授，Adobe Systems公司董事，曾是XeroxPARC的研究人员，还曾就职于美国国防部防御分析研究所以及INRIA。

Philippec Flajoletc 是INRIA的高级研究主任,在EcolePolytechnique和普林斯顿大学任教, 并在斯坦福大学、智利大学和弗吉尼亚技术大学拥有访问席位、他还是法国科学院的通信会员.

精彩摘录

Exercise3.1FindtheOGFsforeachofthefollowingsequences:

——引自章节：3.1OrdinaryGeneratingFuncti

Exercise3.1FindtheOGFsforeachofthefollowingsequences:

——引自章节：3.1OrdinaryGeneratingFuncti