{"product_id":"nonlinear-functional-analysis-and-its-applications-iii-variational-methods-and-optimization-von-e-zeidler","title":"Nonlinear Functional Analysis and its Applications","description":"As long as a branch of knowledge offers an abundance of problems, it is full of vitality. David Hilbert Over the last 15 years I have given lectures on a variety of problems in nonlinear functional analysis and its applications. In doing this, I have recommended to my students a number of excellent monographs devoted to specialized topics, but there was no complete survey-type exposition of nonlinear functional analysis making available a quick survey to the wide range of readers including mathematicians, natural scientists, and engineers who have only an elementary knowledge of linear functional analysis. I have tried to close this gap with my five-part lecture notes, the first three parts of which have been published in the Teubner-Texte series by Teubner-Verlag, Leipzig, 1976, 1977, and 1978. The present English edition was translated from a completely rewritten manuscript which is significantly longer than the original version in the Teubner-Texte series. The material is organized in the following way: Part I: Fixed Point Theorems. Part II: Monotone Operators. Part III: Variational Methods and Optimization. Parts IV jV: Applications to Mathematical Physics. The exposition is guided by the following considerations: (a) What are the supporting basic ideas and what intrinsic interrelations exist between them? (\/3) In what relation do the basic ideas stand to the known propositions of classical analysis and linear functional analysis? ( y) What typical applications are there? Vll Preface viii Special emphasis is placed on motivation.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9780387909158\"\u003e\u003ch3\u003eIII: Variational Methods and Optimization\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9781461295297\"\u003e\u003ch3\u003eIII: Variational Methods and Optimization\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Hardcover - 9780387909158","offer_id":51485622086,"sku":"9780387909158","price":149.79,"currency_code":"EUR","in_stock":true},{"title":"Softcover - 9781461295297","offer_id":39415042736221,"sku":"9781461295297","price":106.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/c5af85d5-c91f-498c-ab60-98a393dea9e1.jpg?v=1772168903","url":"https:\/\/shop.autorenwelt.de\/en\/products\/nonlinear-functional-analysis-and-its-applications-iii-variational-methods-and-optimization-von-e-zeidler","provider":"Autorenwelt Shop","version":"1.0","type":"link"}