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Pearls of Functional Algorithm Design

£56.99

  • Date Published: September 2010
  • availability: Available
  • format: Hardback
  • isbn: 9780521513388

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About the Authors
  • Richard Bird takes a radical approach to algorithm design, namely, design by calculation. These 30 short chapters each deal with a particular programming problem drawn from sources as diverse as games and puzzles, intriguing combinatorial tasks, and more familiar areas such as data compression and string matching. Each pearl starts with the statement of the problem expressed using the functional programming language Haskell, a powerful yet succinct language for capturing algorithmic ideas clearly and simply. The novel aspect of the book is that each solution is calculated from an initial formulation of the problem in Haskell by appealing to the laws of functional programming. Pearls of Functional Algorithm Design will appeal to the aspiring functional programmer, students and teachers interested in the principles of algorithm design, and anyone seeking to master the techniques of reasoning about programs in an equational style.

    • Demonstrates how results in algorithm design can be calculated using well-established mathematical principles, theorems and laws
    • Contains brand new pearls
    • Includes a brief index to guide the reader
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    Reviews & endorsements

    '… well-presented and well-motivated material strives to become a stepping stone to further discovery. Any serious computer scientist would benefit from reading and properly understanding this book.' Computing Reviews

    '… an excellent guide into this method of algorithm development.' Journal of Functional Programming

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    Product details

    • Date Published: September 2010
    • format: Hardback
    • isbn: 9780521513388
    • length: 290 pages
    • dimensions: 246 x 175 x 18 mm
    • weight: 0.73kg
    • contains: 20 b/w illus.
    • availability: Available
  • Table of Contents

    Preface
    1. The smallest free number
    2. A surpassing problem
    3. Improving on saddleback search
    4. A selection problem
    5. Sorting pairwise sums
    6. Making a century
    7. Building a tree with minimum height
    8. Unravelling greedy algorithms
    9. Finding celebrities
    10. Removing duplicates
    11. Not the maximum segment sum
    12. Ranking suffixes
    13. The Burrows–Wheeler transform
    14. The last tail
    15. All the common prefixes
    16. The Boyer–Moore algorithm
    17. The Knuth–Morris–Pratt algorithm
    18. Planning solves the rush hour problem
    19. A simple Sudoku solver
    20. The countdown problem
    21. Hylomorphisms and nexuses
    22. Three ways of computing determinants
    23. Inside the convex hull
    24. Rational arithmetic coding
    25. Integer arithmetic coding
    26. The Schorr–Waite algorithm
    27. Orderly insertion
    28. Loopless functional algorithms
    29. The Johnson–Trotter algorithm
    30. Spider spinning for dummies
    Index.

  • Author

    Richard Bird, University of Oxford
    Richard Bird is Professor of Computer Science at Oxford University Computing Laboratory.

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