Reader-friendly Introduction to the Measure Theory by Vasily Nekrasov
Publisher: Yetanotherquant.de 2009
This is a very clear and user-friendly introduction to the Lebesgue measure theory. The fundamental ideas of the Lebesgue measure are discussed comprehensively, so after reading these notes, you will be able to read any book on Real Analysis and will easily understand Lebesgue integral and other advanced topics.
Mathematics Analysis & Calculus