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Provides a student's first encounter with the concepts of measure theory and functional analysis. This book reflects the belief that difficult concepts should b

A User-Friendly Introduction to Lebesgue Measure and Integration provides a bridge between an undergraduate course in Real Analysis and a first graduate-level c

The Lebesgue integral is now standard for both applications and advanced mathematics. This books starts with a review of the familiar calculus integral and then

Ein lebendig und präzise geschriebenes Lehrbuch zu Lebesgue-Maß und Lebesgue-Integration, das sehr ins Detail geht und viele historische Aspekte anspricht. Re

The Stieltjes Integral provides a detailed, rigorous treatment of the Stieltjes integral. This integral is a generalization of the Riemann and Darboux integrals