TY - BOOK AU - Peterson,James K. TI - Basic analysis III: mappings on infinite dimensional spaces SN - 9781315166209 AV - QA320 U1 - 515.7 23 PY - 2020/// CY - Boca Raton PB - Chapman & Hall/CRC KW - Functional analysis KW - Infinite groups KW - MATHEMATICS / Functional Analysis KW - bisacsh KW - MATHEMATICS / Applied N2 - Basic Analysis III: Mappings on Infinite Dimensional Spaces is intended as a first course in abstract linear analysis. This textbook cover metric spaces, normed linear spaces and inner product spaces, along with many other deeper abstract ideas such a completeness, operators and dual spaces. These topics act as an important tool in the development of a mathematically trained scientist. Feature: Can be used as a traditional textbook as well as for self-study Suitable for undergraduates in mathematics and associated disciplines Emphasizes 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/9781315166209 UR - http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf ER -