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
A detailed presentation of nonlinear functional analysis
Includes advanced but well-selected material for new and experienced researchers alike
Covers the parts of the theory needed for conducting both mathematical and applied research
Nikolaos S. Papageorgiou, National Technical University of Athens, Greece; Patrick Winkert, Technische Universität Berlin, Germany.
"The book is well organized and can be used as a basic text for courses in linear or nonlinear functional analysis." Stefan Cobzas in: Zentralblatt MATH 1404.46001