La conception des algorithmes: une science !L'algorithmique est l'art et la science de concevoir des algorithmes corrects et efficaces. Pour beaucoup d'informaticiens, c'est l'aspect artistique qui pr�domine: on cherche l'id�e lumineuse, la structure cach�e, la r�ponse astucieuse. Mais la conception des algorithmes est d'abord une science dont il faut poss�der les bases et les techniques avant d'exprimer sa cr�ativit�. Ce livre invite le lecteur � une approche rigoureuse de la construction d'algorithmes. Il explique comment la m�me id�e peut se retrouver dans plusieurs algorithmes correspondant � des probl�mes diff�rents. Il donne les outils pour analyser rationnellement un probl�me, le classer dans une famille de m�thodes et produire une solution exacte.Un manuel de r�f�rence sur la construction raisonn�e des algorithmesDans chaque chapitre de ce livre, les bases th�oriques et techniques sont rappel�es et illustr�es par des exemples. On y trouve ensuite un grand nombre d'exercices, accompagn�s d'une correction minutieuse et compl�te. De la sorte, on y voit comment une d�marche rationnelle permet d'atteindre une solution, exacte par construction, � travers une grande vari�t� de cas. Apr�s des rappels sur le raisonnement, les structures de donn�es et la complexit�, le livre parcourt les grandes m�thodes de construction d'algorithmes: invariants, r�cursivit�, essais successifs, m�thodes PSEP, algorithmes gloutons, diviser pour r�gner, programmation dynamique. Au total, pr�s de 150 exemples d'algorithmes sont ainsi analys�s et construits rigoureusement. La nouvelle �dition de cet ouvrage est enti�rement mise � jour.

About the Authors

Marc Guyomard �tait professeur d'informatique � l'Enssat. Il s'est plus particuli�rement int�ress� � la communication homme-machine et aux m�thodes formelles du g�nie logiciel.

Patrick Bosc �tait professeur d'informatique � l'Enssat �cole d'ing�nieurs de l'universit� de Rennes I situ�e � Lannion, o� il a enseign� une vingtaine d'ann�es la plupart des m�thodes trait�es dans cet ouvrage. Son activit� de recherche a concern� la prise en compte de la flexibilit� dans les syst�mes d'information.

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