Basic analysis IV measure theory and integration

Basic Analysis IV: Measure Theory and Integration introduces students to concepts from measure theory and continues their training in the abstract way of looking at the world. This is a most important skill to have when your life's work will involve quantitative modeling to gain insight into the real world. This text generalizes the notion of integration to a very abstract setting in a variety of ways. We generalize the notion of the length of an interval to the measure of a set and learn how to construct the usual ideas from integration using measures. We discuss carefully the many notions of convergence that measure theory provides.

Features

• Can be used as a traditional textbook as well as for self-study
• Suitable for advanced students in mathematics and associated disciplines
• Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions

https://rapidgator.net/file/6f40aa98f3eaa596e49afec9f96f5ccd/Basic.analysis.IV.measure.theory.and.integration.pdf

https://nitro.download/view/13B9936246D73C4/Basic.analysis.IV.measure.theory.and.integration.pdf