Lectures on Variational Analysis

Asen L. Dontchev

ISBN 10: 3030799131 / ISBN 13: 9783030799137

Published by Springer Nature Switzerland AG, CH, 2023

About this Item

This book presents an introduction to variational analysis, a field which unifies theories and techniques developed in calculus of variations, optimization, and control, and covers convex analysis, nonsmooth analysis, and set-valued analysis. It focuses on problems with constraints, the analysis of which involves set-valued mappings and functions that are not differentiable. Applications of variational analysis are interdisciplinary, ranging from financial planning to steering a flying object. The book is addressed to graduate students, researchers, and practitioners in mathematical sciences, engineering, economics, and finance. A typical reader of the book should be familiar with multivariable calculus and linear algebra. Some basic knowledge in optimization, control, and elementary functional analysis is desirable, but all necessary background material is included in the book.

Seller Inventory # LU-9783030799137

Bibliographic Details

• Title: Lectures on Variational Analysis
• Publisher: Springer Nature Switzerland AG, CH
• Publication Date: 2023
• Language: English
• ISBN 10: 3030799131
• ISBN 13: 9783030799137
• Binding: Paperback
• Edition: 2021 ed.
• Condition: New

About this title

Synopsis

This book presents an introduction to variational analysis, a field which unifies theories and techniques developed in calculus of variations, optimization, and control, and covers convex analysis, nonsmooth analysis, and set-valued analysis. It focuses on problems with constraints, the analysis of which involves set-valued mappings and functions that are not differentiable. Applications of variational analysis are interdisciplinary, ranging from financial planning to steering a flying object. The book is addressed to graduate students, researchers, and practitioners in mathematical sciences, engineering, economics, and finance. A typical reader of the book should be familiar with multivariable calculus and linear algebra. Some basic knowledge in optimization, control, and elementary functional analysis is desirable, but all necessary background material is included in the book.