Main goal of the Handbook

The main goal of this Handbook is to survey measure theory with its many different branches and its relations with other areas of mathematics. Mostly aggregating many classical branches of measure theory, the aim of the Handbook is also to cover new fields, approaches, and applications which support the idea of "measure" in a wider sense, e.g., the ninth part of the Handbook.

Content and audience

Although chapters are written as surveys in the various areas, they contain many special topics and challenging problems valuable for experts and rich sources of inspiration. Mathematicians from other areas as well as physicists, computer scientists, engineers, and econometricians will find useful results and powerful methods for their research.

Relations to other mathematical areas

The reader may find in the Handbook many close relations to other mathematical areas: real analysis, probability theory, statistics, ergodic theory, functional analysis, potential theory, topology, set theory, geometry, differential equations, optimization, variational analysis, decision making, and others.

Additional features

The Handbook is a rich source of relevant references to articles, books, and lecture notes, and it contains, for the reader's convenience, an extensive subject and author index.