{"product_id":"optimization-a-theory-of-necessary-conditions-9780691644042","title":"Optimization: A Theory of Necessary Conditions","description":"\u003cp\u003eThis book presents a comprehensive treatment of necessary conditions for general optimization problems. The presentation is carried out in the context of a general theory for extremal problems in a topological vector space setting. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e Following a brief summary of the required background, generalized Lagrange multiplier rules are derived for optimization problems with equality and generalized inequality constraints. The treatment stresses the importance of the choice of the underlying set over which the optimization is to be performed, the delicate balance between differentiability-continuity requirements on the constraint functionals, and the manner in which the underlying set is approximated by a convex set. The generalized multiplier rules are used to derive abstract maximum principles for classes of optimization problems defined in terms of operator equations in a Banach space. It is shown that special cases include the usual maximum principles for general optimal control problems described in terms of diverse systems such as ordinary differential equations, functional differential equations, Volterra integral equations, and difference equations. Careful distinction is made throughout the analysis between local and global maximum principles. \u003cp\u003e\u003c\/p\u003eOriginally published in 1977. \u003cp\u003e\u003c\/p\u003eThe \u003cb\u003ePrinceton Legacy Library\u003c\/b\u003e uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Lucien W. Neustadt\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 04\/19\/2016\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 440\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.74lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 1.00d\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780691644042","brand":"Princeton University Press","offers":[{"title":"Hardcover","offer_id":40088176558195,"sku":"9.78E+12","price":175.95,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0555\/9255\/0515\/products\/img_a45ea815-13e7-44af-b4d3-f11a11ea96c5.jpg?v=1652624837","url":"https:\/\/bookstorenmore.com\/en-de\/products\/optimization-a-theory-of-necessary-conditions-9780691644042","provider":"Bookstore N More","version":"1.0","type":"link"}