De Gruyter Textbook

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