Algorithm Design with Haskell

Algorithm Design with Haskell

This book is devoted to five main principles of algorithm design: divide and conquer, greedy algorithms, thinning, dynamic programming, and exhaustive search. These principles are presented using Haskell, a purely functional language, leading to simpler explanations and shorter programs than would be obtained with imperative languages. Carefully selected examples, both new and standard, reveal the commonalities and highlight the differences between algorithms. The algorithm developments use equational reasoning where applicable, clarifying the applicability conditions and correctness arguments. Every chapter concludes with exercises (nearly 300 in total), each with complete answers, allowing the reader to consolidate their understanding and apply the techniques to a range of problems. The book serves students (both undergraduate and postgraduate), researchers, teachers, and professionals who want to know more about what goes into a good algorithm and how such algorithms can be expressed in purely functional terms.

Part I. Basics: 1. Functional programming; 2. Timing; 3. Useful data structures; Part II. Divide and conquer: 4. Binary search; 5. Sorting; 6. Selection; Part III. Greedy algorithms: 7. Greedy algorithms on lists; 8. Greedy algorithms on trees; 9. Greedy algorithms on graphs; Part IV. Thinning algorithms: 10. Introduction to thinning; 11. Segments and subsequences; 12. Partitions; Part V. Dynamic programming: 13. Efficient recursions; 14. Optimum bracketing; Part VI. Exhaustive search: 15. Ways of searching; 16. Heuristic search; Index.

Ideal for learning or reference, this book explains the five main principles of algorithm design and their implementation in Haskell.