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Basics of Nonlinear OptimizationAround the Weierstrass Theorem\nAuthor(s): Marek Galewski\nFormat: Paperback\nPublisher: Birkhauser Verlag AG, Switzerland\nImprint: Birkhauser Verlag AG\nISBN-13: 9783031771590, 978-3031771590\nSynopsis\nThis textbook gives an introduction to optimization tools which arise around the Weierstrass theorem about the minimum of a lower semicontinuous function. Starting from a Euclidean space, it moves further into the infinite dimensional setting towards the direct variational method, going through differentiation and introducing relevant background information on the way.\n\nExercises accompany the text and include observations, remarks, and examples that help understand the presented material. Although some basic knowledge of functional analysis is assumed, covering Hilbert and Banach spaces and the Lebesgue integration, the required background material is covered throughout the text, and literature suggestions are provided. For less experienced readers.
Basics of Nonlinear OptimizationAround the Weierstrass Theorem\nAuthor(s): Marek Galewski\nFormat: Paperback\nPublisher: Birkhauser Verlag AG, Switzerland\nImprint: Birkhauser Verlag AG\nISBN-13: 9783031771590, 978-3031771590\nSynopsis\nThis textbook gives an introduction to optimization tools which arise around the Weierstrass theorem about the minimum of a lower semicontinuous function. Starting from a Euclidean space, it moves further into the infinite dimensional setting towards the direct variational method, going through differentiation and introducing relevant background information on the way.\n\nExercises accompany the text and include observations, remarks, and examples that help understand the presented material. Although some basic knowledge of functional analysis is assumed, covering Hilbert and Banach spaces and the Lebesgue integration, the required background material is covered throughout the text, and literature suggestions are provided. For less experienced readers.
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