Basic Analysis III

<p><strong><em>Basic Analysis III: Mappings on Infinite Dimensional Spaces</em></strong> 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.</p><p>Feature:</p><ul> <p> </p> <li>Can be used as a traditional textbook as well as for self-study </li> <p> </p> <li>Suitable for undergraduates in mathematics and associated disciplines</li> <p> </p> <li>Emphasizes learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions</li> </ul>