LEADER 03676nam 22005775 450 001 9910392739703321 005 20200703013637.0 010 $a3-030-43388-9 024 7 $a10.1007/978-3-030-43388-8 035 $a(CKB)4100000011223457 035 $a(MiAaPQ)EBC6167701 035 $a(DE-He213)978-3-030-43388-8 035 $a(PPN)243763859 035 $a(EXLCZ)994100000011223457 100 $a20200408d2020 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNumerical Engineering Optimization $eApplication of the Computer Algebra System Maxima /$fby Andreas Öchsner, Resam Makvandi 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (232 pages) 311 $a3-030-43387-0 327 $a1. Introduction -- 2. Unconstrained Functions of One Variable -- 3. Constrained Functions of One Variable -- 4. Unconstrained Functions of Several Variables -- 5. Constrained Functions of Several Variables -- 6. Answers to Supplementary Problems. 330 $aThis study aid on numerical optimization techniques is intended for university undergraduate and postgraduate mechanical engineering students. Optimization procedures are becoming more and more important for lightweight design, where weight reduction can, for example in the case of automotive or aerospace industry, lead to lower fuel consumption and a corresponding reduction in operational costs as well as beneficial effects on the environment. Based on the free computer algebra system Maxima, the authors present procedures for numerically solving problems in engineering mathematics as well as applications taken from traditional courses on the strength of materials. The mechanical theories focus on the typical one-dimensional structural elements, i.e., springs, bars, and Euler?Bernoulli beams, in order to reduce the complexity of the numerical framework and limit the resulting design to a low number of variables. The use of a computer algebra system and the incorporated functions, e.g., for derivatives or equation solving, allows a greater focus on the methodology of the optimization methods and not on standard procedures. The book also provides numerous examples, including some that can be solved using a graphical approach to help readers gain a better understanding of the computer implementation. 606 $aMechanics 606 $aMechanics, Applied 606 $aCalculus of variations 606 $aEngineering mathematics 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 606 $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016 606 $aEngineering Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/T11030 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aCalculus of variations. 615 0$aEngineering mathematics. 615 14$aSolid Mechanics. 615 24$aCalculus of Variations and Optimal Control; Optimization. 615 24$aEngineering Mathematics. 676 $a519.3 700 $aÖchsner$b Andreas$4aut$4http://id.loc.gov/vocabulary/relators/aut$0317948 702 $aMakvandi$b Resam$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910392739703321 996 $aNumerical Engineering Optimization$92539303 997 $aUNINA