Basic analysis IV: measure theory and integration
by Peterson, James K., (James Kent)
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 t…
Read More ↓Title Statements
- Full title :Basic analysis IV : measure theory and integration / James K. Peterson.
Summary
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
Read More ↓Edition Statements
- Publication Date:©2020
- Edition:First edition
Publication Statements
- Publisher(s):CRC Press
- Place of Publication:Boca Raton, FL
- Language:eng
- Publication Date:©2020
The Physical Object
- Description:1 online resource (xi, 488 pages) : : illustrations
Edition Identifiers
- ISBN:9781315166186, 1315166186, 9781351679244, 1351679244, 9781351679237, 1351679236, 9781351679220, 1351679228
- oclc:on1190777104
- LC Classification:QA312
- Dewey Decimal:515.42
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