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portada Basic Analysis IV: Measure Theory and Integration
Type
Physical Book
Author
Publisher
Language
English
Pages
500
Format
Hardcover
ISBN13
9781138055117
Edition No.
1
Categories

Basic Analysis IV: Measure Theory and Integration

James K. Peterson (Author) · CRC Press · Hardcover

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

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Synopsis "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

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