Basics of Nonlinear Optimization Around the Weierstrass Theorem /
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 diff...
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| Format: | Electronic eBook |
| Language: | English |
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Springer Nature Switzerland : Imprint: Birkhäuser,
2024.
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| Edition: | 1st ed. 2024. |
| Series: | Compact Textbooks in Mathematics,
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| Online Access: | https://doi.org/10.1007/978-3-031-77160-6 |
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Table of Contents:
- - 1. The Weierstrass Theorem - the origin of optimization
- 2. Some basics from functional analysis and function spaces
- 3. Differentiation in infinite dimensional spaces
- 4. On the Weierstrass Theorem in infinite dimensional spaces
- 5. Applications to multiple integrals.