Galewski M Basics of Nonlinear Optimization Around the Weierstrass Theorem 2024
General:
Name: Galewski M Basics of Nonlinear Optimization Around the Weierstrass Theorem 2024
Format: pdf
Size: 1.61 MB
Book:
Title: Basics of Nonlinear Optimization: Around the Weierstrass Theorem
Author: Marek Galewski
Language: angielski
Year: 2025
Subjects: Science & Technology, Engineering, Mathematics, Engineering – General & Miscellaneous, Computer Mathematics, Mathematical Programming & Operations Research, Mathematical optimization
Publisher: Birkhäuser
ISBN: 9783031771606
Total pages: 173
Description:
This textbook gives an introduction to optimization tools which arise around the Weierstrass theorem about the minimum of a lower semicontinuous function. Starting from a Euclidean space, it moves further into the infinite dimensional setting towards the direct variational method, going through differentiation and introducing relevant background information on the way.
Exercises accompany the text and include observations, remarks, and examples that help understand the presented material. Although some basic knowledge of functional analysis is assumed, covering Hilbert and Banach spaces and the Lebesgue integration, the required background material is covered throughout the text, and literature suggestions are provided. For less experienced readers, a summary of some optimization techniques is also included.
The book will appeal to both students and instructors in specialized courses on optimization, wishing to learn more about variational methods.
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