Basic Analysis III: Mappings on Infinite Dimensional Spaces

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