Peterson, James K. <br/><br/>
Basic analysis IV :  measure theory and integration / 
James K. Peterson. 
 - First edition. 
 - 1 online resource (xi, 488 pages) :  illustrations 
<br/><br/> 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 
<br/><br/><label>ISBN: </label>9781315166186 1315166186 9781351679244 1351679244 9781351679237 1351679236 9781351679220 1351679228 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Measure theory.<br/>Integrals.<br/>MATHEMATICS / Functional Analysis<br/>MATHEMATICS / Applied
<br/><br/><label>LC Class. No.: </label>QA312  / .P48 2021 
<br/><br/><label>Dewey Class. No.: </label>515.42