Basics of Nonlinear Optimization
Produktnummer:
189678f3f8ab854266a592c3c1631b1534
| Autor: | Galewski, Marek |
|---|---|
| Themengebiete: | Boundary Value Problem Differentiation in Banach Spaces Euler Action Functional Nonlinear Optimization Weierstrass Theorem |
| Veröffentlichungsdatum: | 21.12.2024 |
| EAN: | 9783031771590 |
| Sprache: | Englisch |
| Seitenzahl: | 168 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer International Publishing |
| Untertitel: | Around the Weierstrass Theorem |
Produktinformationen "Basics of Nonlinear Optimization"
This 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.Exercises 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, a summary of some optimization techniques is also included.The book will appeal to both students and instructors in specialized courses on optimization, wishing to learn more about variational methods.
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