Applied Nonlinear Functional Analysis: an Introduction

✍ Scribed by Papageorgiou, Nikolaos S.; Winkert, Patrick

• Publisher: De Gruyter
• Year: 2018
• Tongue: English
• Leaves: 621
• Series: De Gruyter Textbook Ser
• Category: Library

✦ Synopsis

The aim of this book is to provide a concise but complete introduction to the main mathematical tools of nonlinear functional analysis, which are also used in the study of concrete problems in economics, engineering, and physics. This volume gathers the mathematical background needed in order to conduct research or to deal with theoretical problems and applications using the tools of nonlinear functional analysis. Contents Basic Topology Measure Theory Basic Functional Analysis Banach Spaces of Functions and Measures Convex Functions - Nonsmooth Analysis Nonlinear Analysis.

✦ Table of Contents

Cover......Page 1
Applied NonlinearFunctionalAnalysis: An Introduction......Page 5
© 2018......Page 6
Dedication......Page 7
Preface......Page 9
Contents......Page 11
1 Basic Topology......Page 13
2 Measure Theory......Page 95
3 Basic Functional Analysis......Page 191
4 Banach Spaces of Functions and Measures......Page 293
5 Convex Functions – Nonsmooth Analysis......Page 405
6 Nonlinear Analysis......Page 495
Bibliography......Page 599
Index......Page 611
Back Cover......Page 621

✦ Subjects

MATHEMATICS--Functional Analysis;Nonlinear functional analysis;Government publication;Electronic books;MATHEMATICS -- Functional Analysis