| 000 | 03812nam a22005775i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-29219-4 | ||
| 003 | DE-He213 | ||
| 005 | 20240730164518.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 230810s2023 sz | s |||| 0|eng d | ||
| 020 |
_a9783031292194 _9978-3-031-29219-4 |
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| 024 | 7 |
_a10.1007/978-3-031-29219-4 _2doi |
|
| 050 | 4 | _aQA402.5-402.6 | |
| 072 | 7 |
_aPBU _2bicssc |
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_aMAT042000 _2bisacsh |
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_aPBU _2thema |
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_a519.6 _223 |
| 100 | 1 |
_aSnider, Arthur David. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _984929 |
|
| 245 | 1 | 0 |
_aBasics of Optimization Theory _h[electronic resource] / _cby Arthur David Snider. |
| 250 | _a1st ed. 2023. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2023. |
|
| 300 |
_aVIII, 143 p. 180 illus., 59 illus. in color. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 |
|
| 505 | 0 | _aA Preliminary Note -- Fibonnacci Search -- Linear Programming -- Nonlinear Programming in One Dimension -- Nonlinear Multidimensional Optimization -- Constrained Optimization. | |
| 520 | _aThis book presents a short introduction to the main tools of optimization methodology including linear programming, steepest descent, conjugate gradients, and the Karush-Kuhn-Tucker-John conditions. Each topic is developed in terms of a specific physical model, so that the strategy behind every step is motivated by a logical, concrete, easily visualized objective. A quick perusal of the Fibonacci search algorithm provides a simple and tantalizing first encounter with optimization theory, and a review of the max-min exposition of one-dimensional calculus prepares readers for the more sophisticated topics found later in the book. Notable features are the innovative perspectives on the simplex algorithm and Karush-Kuhn-Tucker-John conditions as well as a wealth of helpful diagrams. The author provides pointers to references for readers who would like to learn more about rigorous definitions, proofs, elegant reformulations and extensions, and case studies. However, the book is sufficiently self-contained to serve as a reliable resource for readers who wish to exploit commercially available optimization software without investing the time to develop expertise in its aspects. This book also: Features innovative perspectives on the simplex algorithm and Krushal-Kuhn-Tucker-John conditions Serves as a resource for readers to use the tools of optimization without needing to acquire expertise in the theory Features plentiful resources that focus on rigorous definitions, proofs, and case studies. | ||
| 650 | 0 |
_aMathematical optimization. _94112 |
|
| 650 | 0 |
_aMathematics. _911584 |
|
| 650 | 0 |
_aMathematics _xData processing. _919904 |
|
| 650 | 0 |
_aComputer science _xMathematics. _93866 |
|
| 650 | 0 |
_aAlgorithms. _93390 |
|
| 650 | 1 | 4 |
_aOptimization. _984932 |
| 650 | 2 | 4 |
_aMathematics. _911584 |
| 650 | 2 | 4 |
_aApplications of Mathematics. _931558 |
| 650 | 2 | 4 |
_aComputational Mathematics and Numerical Analysis. _931598 |
| 650 | 2 | 4 |
_aMathematics of Computing. _931875 |
| 650 | 2 | 4 |
_aAlgorithms. _93390 |
| 710 | 2 |
_aSpringerLink (Online service) _984934 |
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| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031292187 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031292200 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031292217 |
| 830 | 0 |
_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 _984936 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-29219-4 |
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| 942 | _cEBK | ||
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