Cet ouvrage traite de la M�thode des Multiplicateurs de Lagrange, qui est l'une des techniques les plus efficaces de l'Optimisation Diff�rentiable et/ou Convexe. Cette derni�re est elle-m�me l'une des branches les plus �labor�es de l'Optimisation et s'occupe de la minimisation de fonctions objectif diff�rentiables ou convexes ayant des variables qui sont contraintes � d�crire des surfaces diff�rentiables ou des ensembles convexes non ouverts avec bords emp�chant l'application du th�or�me classique d'Euler. Mais, gr�ce � l'introduction du multiplicateur de Lagrange, on peut par exemple transformer un probl�me d'optimisation diff�rentiable de fonction objectif F avec contrainte d'�galit� {G(x)=0} en un probl�me d'optimisation globale de la fonction lagrangienne L d�finie par L(x, )=F(x)+ G(x). Un tel param�tre est le multiplicateur de Lagrange ou la variable duale et peut �tre un r�el, un n-uplet de r�els, ou une forme lin�aire continue suivant que G soit � valeurs dans IR, IR ou dans un espace de fonctions. Les domaines d'application s'�tendent au Contr�le Optimal (Recherche Op�rationnelle), � la T�l�communication, aux Probl�mes de Contact et de Friction, etc...

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We first started out as ?The Paperback Exchange,? a chain of physical bookstores where we would part exchange your beloved books for new stories to transport you to faraway places. However, as shopping started to evolve to online shops and marketplaces, we bid our stores goodbye to become ?PBShop.? This transition has only allowed us to blossom as we now ship thousands of titles to book lovers across the globe. We pride ourselves in being a community of local book lovers which allows our passion and devotion to shine in everything we do. In 2020 we not only celebrated our 20th birthday but our 1st birthday as being completely employee owned after becoming an E.O.T in September 2019. We are proud to be different and embrace standing apart on a book mountain by working from a virtual inventory which allows us to provide thousands of books that may be difficult to get for your bookshelf or your studies. Working with a number of different suppliers allows us to explore other avenues such as puzzles, sheet music and even stationery so we really do have something for everyone. Life is about being versatile in all realms of existence. If this is your first visit or you are a returning customer, we would like to welcome you to the PBShop family, for there is no friend as loyal as a book. We are a company who put our customers at the centre of everything we do as we understand the importance of reading because once you learn to read, you will forever be free. There are a whole lot of things in this world of ours that we are yet to explore, which is why we will forever inspire curious minds.

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