Basic Concepts of Global Optimization

This textbook provides an introduction to global optimization, treating mathematical facts stringently and motivating them with 80 figures. It is aimed at mathematicians, natural scientists, engineers, and economists who want to understand and apply mathematically sound methods in their field. It covers the global solvability of optimization problems under application-relevant conditions and illustrates the ideas of branch-and-bound methods for non-convex problems.

Format: Paperback / softback
Length: 168 pages
Publication date: 02 November 2022
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

This comprehensive textbook delves into the realm of global optimization, a field that seamlessly blends rigorous mathematical principles with captivating explanations and illustrative visualizations through a remarkable 80 figures. While primarily designed for mathematicians, this text also appeals to natural scientists, engineers, and economists who seek to comprehend and apply mathematically sound methodologies within their respective domains. Spanning nearly two hundred pages, this textbook offers ample flexibility to serve as a foundation for diverse lectures on global optimization. What sets this text apart is its meticulous exploration of the global solvability of optimization problems in real-world contexts, providing a fresh perspective that enriches the existing literature on optimization. By employing the theory and algorithms of smooth convex optimization, the book showcases the remarkable possibility of efficiently finding the global solution for a wide range of optimization problems commonly encountered in practical applications. Furthermore, for the more intricate non-convex problems, it delves into detailed explanations of branch-and-bound methods, offering valuable insights for tackling complex optimization challenges. Whether you are a seasoned mathematician, a multidisciplinary professional seeking to expand your optimization expertise, or simply someone with an interest in mathematical problem-solving, this textbook is an invaluable resource that will deepen your understanding and enhance your ability to apply mathematical principles in practical scenarios.

Dimension: 235 x 155 (mm)
ISBN-13: 9783662662397
Edition number: 1st ed. 2024