Basic Analysis IV

Basic Analysis IV
Author :
Publisher : CRC Press
Total Pages : 501
Release :
ISBN-10 : 9781351679244
ISBN-13 : 1351679244
Rating : 4/5 (44 Downloads)

Book Synopsis Basic Analysis IV by : James K. Peterson

Download or read book Basic Analysis IV written by James K. Peterson and published by CRC Press. This book was released on 2020-08-12 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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