Basics of Nonlinear Optimization | Around the Weierstrass Theorem

Marek Galewski

ISBN 10: 3031771591 / ISBN 13: 9783031771590

Published by Springer, 2024

About this Item

Basics of Nonlinear Optimization | Around the Weierstrass Theorem | Marek Galewski | Taschenbuch | Compact Textbooks in Mathematics | x | Englisch | 2024 | Springer | EAN 9783031771590 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Seller Inventory # 130804955

Bibliographic Details

• Title: Basics of Nonlinear Optimization | Around the Weierstrass Theorem
• Publisher: Springer
• Publication Date: 2024
• Language: English
• ISBN 10: 3031771591
• ISBN 13: 9783031771590
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 11D millimeters 235 millimeters width by 155 millimeters height by 11 millimeters depth
• Weight: 283 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

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.

About the Author

Marek Galewski has been a professor of mathematics at the Institute of Mathematics, Faculty of Technical Physics, Information Technology and Applied Mathematics, Lodz University of Technology since 2010. Between 1998-2010 he worked at the University of Lodz, first as instructor, then as assistant professor and from 2009 as associate professor. He works in nonlinear analysis with emphasis on boundary value problems investigated by variational and monotonicity methods. His current research concentrates on the interplay between variational and monotonicity methods.