アルゴリズム・デザイン：150の問題と解法 Algorithm Design: A Methodological Approach - 150 problems and detailed solutions

Bosc, Patrick/ Guyomard, Marc/ Miclet, Laurent

Chapman & Hall/CRC（2023/01発売）

• 製本 Hardcover:ハードカバー版／ページ数 808 p.
• 言語 ENG
• 商品コード 9781032369419
• DDC分類 518.1076

Full Description

A bestseller in its French edition, this book is original in its construction and its success in the French market demonstrates its appeal. It is based on three principles: (1) An organization of the chapters by families of algorithms: exhaustive search, divide and conquer, etc. On the contrary, there is no chapter devoted only to a systematic exposure of, say, algorithms on strings. Some of these will be found in different chapters. (2) For each family of algorithms, an introduction is given to the mathematical principles and the issues of a rigorous design, with one or two pedagogical examples. (3) For the most part, the book details 150 problems, spanning seven families of algorithms. For each problem, a precise and progressive statement is given. More importantly, a complete solution is detailed, with respect to the design principles that have been presented; often, some classical errors are pointed out. Roughly speaking, two-thirds of the book is devoted to the detailed rational construction of the solutions.

Contents

Table of Contents

Preface




Mathematics and Computer Science: Some Useful Notions



Complexity of an Algorithm



Specifications, Invariants, Iteration



Reduce and Conquer, Recursion



Generate and Test



Branch and Bound



Greedy Algorithms



Divide and Conquer



Dynamic Programming

Notations

List of Problems

Bibliography

Index