Lectures on variational analysis / Asen L. Dontchev.

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Lectures on variational analysis / Asen L. Dontchev.

9783030799113 (electronic bk.)
3030799115 (electronic bk.)
9783030799106
3030799107

Cham : Springer, [2021]

©2021

English

1 online resource : illustrations.

10.1007/978-3-030-79911-3 doi

QA300 .D66 2021

515

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.

Includes bibliographical references and index.

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Description based on print version record.

Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 205.

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