TY  - BOOK
AU  - Peterson, James K.
TI  - Basic analysis IV : : measure theory and integration
SN  - 9781138055117
U1  - 517 
PY  - 2020///
CY  - Boca Raton
PB  - CRC Press/Taylor & Francis Group
KW  - Integrals
KW  - Measure theory
KW  - Functional Analysis
KW  - Mathematical analysis
KW  - Textbooks
N1  - Includes bibliographical references
N2  - 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
UR  - https://www.routledge.com/Basic-Analysis-IV-Measure-Theory-and-Integration/Peterson/p/book/9781138055117#googlePreviewContainer
UR  - https://www.goodreads.com/book/show/49192978-basic-analysis-iv#CommunityReviews
ER  -