Basic Analysis IV: Measure Theory and Integration

By James K Peterson

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

• Format: Hardcover
• Language: English
• ISBN: 1138055115
• ISBN13: 9781138055117
• Release Date: August 2020
• Publisher: CRC Press
• Length: 500 Pages
• Weight: 2.38 lbs.
• Dimensions: 1.1" x 7.0" x 10.0"