LEADER 02996nam 22005295 450 001 9910338260503321 005 20200703181052.0 010 $a3-030-11184-9 024 7 $a10.1007/978-3-030-11184-7 035 $a(CKB)4100000007761866 035 $a(DE-He213)978-3-030-11184-7 035 $a(MiAaPQ)EBC5927766 035 $a(PPN)235004758 035 $a(EXLCZ)994100000007761866 100 $a20190227d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNonlinear Optimization /$fby Francisco J. Aragón, Miguel A. Goberna, Marco A. López, Margarita M.L. Rodríguez 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XIV, 350 p. 181 illus., 106 illus. in color.) 225 1 $aSpringer Undergraduate Texts in Mathematics and Technology,$x1867-5506 311 $a3-030-11183-0 320 $aIncludes bibliographical references and index. 327 $a1. Preliminaries -- Part I. Analytical Optimization -- 2. Convexity -- 3. Unconstrained Optimization -- 4. Convex Optimization -- Part II. Numerical Optimization -- 5. Unconstrained Optimization Algorithms -- 6. Constrained Optimization -- Solutions to selected exercises -- References -- Index. 330 $aThis textbook on nonlinear optimization focuses on model building, real world problems, and applications of optimization models to natural and social sciences. Organized into two parts, this book may be used as a primary text for courses on convex optimization and non-convex optimization. Definitions, proofs, and numerical methods are well illustrated and all chapters contain compelling exercises. The exercises emphasize fundamental theoretical results on optimality and duality theorems, numerical methods with or without constraints, and derivative-free optimization. Selected solutions are given. Applications to theoretical results and numerical methods are highlighted to help students comprehend methods and techniques. 410 0$aSpringer Undergraduate Texts in Mathematics and Technology,$x1867-5506 606 $aMathematical optimization 606 $aOptimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26008 615 0$aMathematical optimization. 615 14$aOptimization. 676 $a519.3 676 $a519.6 700 $aAragón$b Francisco J$4aut$4http://id.loc.gov/vocabulary/relators/aut$01062871 702 $aGoberna$b Miguel A$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aLópez$b Marco A$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aRodríguez$b Margarita M.L$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910338260503321 996 $aNonlinear Optimization$92528839 997 $aUNINA