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 th...
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| Format: | eBook |
| Language: | English |
| Published: |
Boca Raton, FL :
CRC Press,
2021.
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| Edition: | First edition. |
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| Online Access: | Connect to the full text of this electronic book |
| 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 |
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| Physical Description: | 1 online resource (xi, 488 pages) : illustrations |
| ISBN: | 9781315166186 1315166186 9781351679244 1351679244 9781351679237 1351679236 9781351679220 1351679228 |