Introduction to Nonlinear and Global Optimization [Paperback]

This self-contained text provides a solid introduction to global and nonlinear optimization, providing students of mathematics and interdisciplinary sciences with a strong foundation in applied optimization techniques. The book offers a unique hands-on and critical approach to applied optimization which includes the presentation of numerous algorithms, examples, and illustrations, designed to improve the readers intuition and develop the analytical skills needed to identify optimization problems, classify the structure of a model, and determine whether a solution fulfills optimality conditions.

This text provides a compelling introduction to global and nonlinear optimization, providing both students of mathematics and interdisciplinary sciences with a strong background to continue their studies in these fields. The book offers insights into relevant concepts through numerous useful numerical examples and exercises.

Nonlinear Optimization is an intriguing area of study where mathematical theory, algorithms and applications converge to calculate the optimal values of continuous functions. Within this subject, Global Optimization aims at finding global optima for difficult problems in which many local optima might exist.

This book provides a compelling introduction to global and non-linear optimization providing interdisciplinary readers with a strong background to continue their studies into these and other related fields. The book offers insight in relevant concepts such as region of attraction and Branch-and-Bound by elaborating small numerical examples and exercises for the reader to follow.

Mathematical modeling, cases.- NLP optimality conditions.- Goodness of optimization algorithms.- Nonlinear Programming algorithms.- Deterministic GO algorithms.- Stochastic GO algorithms.

From the reviews:

At just over 200 pages, this book provides a concise introduction to many of the importanls$