Basic Analysis III

Basic Analysis III: Mappings on Infinite Dimensional Spaces

is intended as a first course in abstract linear analysis. This textbook covers metric spaces, normed linear spaces and inner product spaces, along with many other deeper abstract ideas such as 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