Nonsmooth Analysis is a relatively recent area of mathematical analysis. The literature about this subject consists mainly in research papers and books. The purpose of this book is to provide a handbook for undergraduate and graduate students of mathematics that introduce this interesting area in detail.
- Includes different kinds of sub and super differentials as well as generalized gradients
- Includes also the main tools of the theory, as Sum and Chain Rules or Mean Value theorems
- Content is introduced in an elementary way, developing many examples, allowing the reader to understand a theory which is scattered in many papers and research books
Author(s): J. Ferrera (Auth.)
Edition: 0
Publisher: Academic Press
Year: 2014
Pages: 151
Tags: Математика;Математический анализ;
Content:
An Introduction to Nonsmooth Analysis, Page i
An Introduction to Nonsmooth Analysis, Page iii
Copyright, Page iv
Dedication, Page v
Preface, Pages ix-xiii
Acknowledgment, Page xv
Chapter 1 - Basic Concepts and Results, Pages 1-15
Chapter 2 - Convex Functions, Pages 17-35
Chapter 3 - The Subdifferential of a Convex Function, Pages 37-45
Chapter 4 - The Subdifferential: General Case, Pages 47-71
Chapter 5 - Calculus, Pages 73-97
Chapter 6 - Lipschitz Functions and the Generalized Gradient, Pages 99-127
Chapter 7 - Applications, Pages 129-144
Bibliography, Page 145
Index, Pages 147-148
