TY  - BOOK
AU  - Peterson,James K.
TI  - Basic analysis IV: measure theory and integration 
SN  - 9781315166186
AV  - QA312 .P48 2021
U1  - 515.42 23
PY  - 2021///
CY  - Boca Raton, FL
PB  - CRC Press
KW  - Measure theory
KW  - Integrals
KW  - MATHEMATICS / Functional Analysis
KW  - bisacsh
KW  - MATHEMATICS / Applied
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.taylorfrancis.com/books/9781315166186
UR  - http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
ER  -