Introduction to Signed Measure

In mathematics, signed measure is a generalisation of the concept of measure by allowing it to have negative values. Some authors may call it a charge, by analogy with electric charge. This book is a primer on signed measure for undergraduate and graduate candidates.


1.1 Introduction
1.2 Signed Measure
1.3 Absolute Continuity of Set Functions
1.4 Radon Nikodym Theorem
1.5 Derivatives of Signed Measures
1.6 Lebesgue Decomposition
1.7 Riesz Representation Theorem
1.8 Caratheodory Extension Theorem
1.9 Hahn Extension Theorem