This very well written and accessible book emphasizes the reasons for studying measure theory, which is the foundation of much of probability. By focusing on me

Introductory treatment develops the theory of integration in a general context, making it applicable to other branches of analysis. More specialized topics incl

The text contains detailed and complete proofs and includes instructive historical introductions to key chapters. These serve to illustrate the hurdles faced by

This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, Axler la

In these lecture notes we give a self-contained and concise introduction to the essentials of modern probability theory. The material covers all concepts and te