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Basic Analysis IV : Measure Theory and Integration - James K. Peterson

Basic Analysis IV

Measure Theory and Integration

By: James K. Peterson

eText | 12 August 2020 | Edition Number 1

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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

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Non-FictionMathematicsCalculus & Mathematical AnalysisFunctional Analysis & TransformsApplied MathematicsGroups & Group TheoryEngineering & TechnologyEnvironmental Science

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