Lectures on Variational Analysis

Variational analysis is a field that unifies calculus of variations, optimization, and control, focusing on problems with constraints. It has interdisciplinary applications, from financial planning to steering a flying object, and is addressed to graduate students, researchers, and practitioners in mathematical sciences, engineering, economics, and finance.

Format: Hardback
Length: 219 pages
Publication date: 05 February 2022
Publisher: Springer Nature Switzerland AG

This comprehensive book offers an in-depth introduction to variational analysis, a field that seamlessly unites theories and techniques from calculus of variations, optimization, and control. It delves into convex analysis, nonsmooth analysis, and set-valued analysis, providing a comprehensive framework for addressing problems with constraints. The analysis of such problems involves set-valued mappings and functions that lack differentiability, requiring innovative approaches.

Variational analysis finds applications across diverse fields, ranging from financial planning to the steering of flying objects. It appeals to graduate students, researchers, and practitioners in mathematical sciences, engineering, economics, and finance. A foundational understanding of multivariable calculus and linear algebra is assumed, although basic knowledge in optimization, control, and elementary functional analysis is beneficial. The book comprehensively covers all necessary background material, ensuring a smooth understanding of the subject matter.

By exploring the principles of variational analysis, readers gain valuable insights into the optimization of systems, the analysis of non-linear dynamics, and the study of partial differential equations. This multidisciplinary approach empowers individuals to solve complex problems and make informed decisions in a wide range of fields. Whether you are a student seeking to expand your knowledge in mathematics or a professional seeking to apply cutting-edge techniques, this book is an invaluable resource for advancing your understanding of variational analysis.

Weight: 518g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030799106
Edition number: 1st ed. 2021