02996nam 22005295 450 991033826050332120200703181052.03-030-11184-910.1007/978-3-030-11184-7(CKB)4100000007761866(DE-He213)978-3-030-11184-7(MiAaPQ)EBC5927766(PPN)235004758(EXLCZ)99410000000776186620190227d2019 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierNonlinear Optimization /by Francisco J. Aragón, Miguel A. Goberna, Marco A. López, Margarita M.L. Rodríguez1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (XIV, 350 p. 181 illus., 106 illus. in color.) Springer Undergraduate Texts in Mathematics and Technology,1867-55063-030-11183-0 Includes bibliographical references and index.1. 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.This 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.Springer Undergraduate Texts in Mathematics and Technology,1867-5506Mathematical optimizationOptimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26008Mathematical optimization.Optimization.519.3519.6Aragón Francisco Jauthttp://id.loc.gov/vocabulary/relators/aut1062871Goberna Miguel Aauthttp://id.loc.gov/vocabulary/relators/autLópez Marco Aauthttp://id.loc.gov/vocabulary/relators/autRodríguez Margarita M.Lauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910338260503321Nonlinear Optimization2528839UNINA