Nonlinear Optimization

• Main Authors: Aragón, Francisco J. (Author, http://id.loc.gov/vocabulary/relators/aut), Goberna, Miguel A. (http://id.loc.gov/vocabulary/relators/aut), López, Marco A. (http://id.loc.gov/vocabulary/relators/aut), Rodríguez, Margarita M.L (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Springer Undergraduate Texts in Mathematics and Technology,
• Subjects: Mathematical optimization.; Optimization.
• Physical Description: XIV, 350 p. 181 illus., 106 illus. in color. online resource.
• ISBN: 9783030111847
• ISSN: 1867-5506
• DOI: 10.1007/978-3-030-11184-7

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.