Basic analysis III : mappings on infinite dimensional spaces / James K. Peterson.
By: Peterson, James K. (James Kent) [author.].
Material type: BookPublisher: Boca Raton : Chapman & Hall/CRC, 2020Description: 1 online resource (1 volume) : illustrations (black and white).Content type: text Media type: computer Carrier type: online resourceISBN: 9781315166209; 1315166208; 9781351679299; 1351679295; 9781351679305; 1351679309; 9781351679282; 1351679287.Subject(s): Functional analysis | Infinite groups | MATHEMATICS / Functional Analysis | MATHEMATICS / AppliedDDC classification: 515.7 Online resources: Taylor & Francis | OCLC metadata license agreement Summary: 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 propositionsBasic 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
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