Basic Analysis I

<p><strong><em>Basic Analysis I: Functions of a Real Variable</em></strong> is designed for students who have completed the usual calculus and ordinary differential equation sequence and a basic course in linear algebra. This is a critical course in the use of abstraction but is just first volume in a sequence of courses which prepare students to become practicing scientists. </p><p>This book is written with the aim of balancing the theory and abstraction with clear explanations and arguments so that students who are from a variety of different areas can follow this text and use it profitably for self-study. It can also be used as a supplementary text for anyone whose work requires that they begin to assimilate more abstract mathematical concepts as part of their professional growth.</p><p>Features</p><ul> <p> </p> <li>Can be used as a traditional textbook as well as for self-study </li> <p> </p> <li>Suitable for undergraduate mathematics students or for those in other disciplines requiring a solid grounding in abstraction</li> <p> </p> <li>Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions</li> </ul>