| 000 | 03127nam a22005175i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-77160-6 | ||
| 003 | DE-He213 | ||
| 005 | 20251030114630.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 241220s2024 sz | s |||| 0|eng d | ||
| 020 |
_a9783031771606 _9978-3-031-77160-6 |
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| 024 | 7 |
_a10.1007/978-3-031-77160-6 _2doi |
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| 050 | 4 | _aQA402.5-402.6 | |
| 050 | 4 | _aQA315-316 | |
| 072 | 7 |
_aPBU _2bicssc |
|
| 072 | 7 |
_aMAT042000 _2bisacsh |
|
| 072 | 7 |
_aPBU _2thema |
|
| 100 | 1 |
_aGalewski, Marek. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _989262 |
|
| 245 | 1 | 0 |
_aBasics of Nonlinear Optimization _h[electronic resource] : _bAround the Weierstrass Theorem / _cby Marek Galewski. |
| 250 | _a1st ed. 2024. | ||
| 264 | 1 |
_aCham : _bSpringer Nature Switzerland : _bImprint: Birkhäuser, _c2024. |
|
| 300 |
_aX, 168 p. 3 illus., 1 illus. in color. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aCompact Textbooks in Mathematics, _x2296-455X |
|
| 505 | 0 | _a- 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. | |
| 520 | _aThis 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. | ||
| 650 | 0 |
_aMathematical optimization. _965522 |
|
| 650 | 0 |
_aCalculus of variations. _967268 |
|
| 650 | 1 | 4 |
_aCalculus of Variations and Optimization. _967270 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031771590 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031771613 |
| 830 | 0 |
_aCompact Textbooks in Mathematics, _x2296-455X _975270 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-77160-6 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-SXMS | ||
| 999 |
_c65890 _d65890 |
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