This text explains the fundamentals of algorithms in a story line that makes the material enjoyable and easy to digest. Emphasis is placed on understanding the crisp mathematical idea behind each algorithm, in a manner that is intuitive and rigorous without being unduly formal. Features include: The use of boxes to strengthen the narrative: pieces that provide historical context, descriptions of how the algorithms are used in practice, and excursions for the mathematically sophisticated. Carefully chosen advanced topics that can be skipped in a standard one-semester course, but can be covered in an advanced algorithms course or in a more leisurely two-semester sequence. An accessible treatment of linear programming introduces students to one of the greatest achievements in algorithms. An optional chapter on the quantum algorithm for factoring provides a unique peephole into this exciting topic. "Algorithms" is an outstanding undergraduate text, equally informed by the historical roots and contemporary applications of its subject.

Contenuti

0 Prologue
1 Algorithms with Numbers
2 Divide-and-conquer algorithms
3 Decompositions of graphs
4 Paths in graphs
5 Greedy algorithms
6 Dynamic Programming
7 Linear Programming and Reductions
8 NP-complete Problems
9 Coping with NP-completeness
10 Quantum Algorithms

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