Elementary Transition to Abstract Mathematics

<p><strong><em>An Elementary Transition to Abstract Mathematics</em></strong> will help students move from introductory courses to those where rigor and proof play a much greater role. </p><p>The text is organized into five basic parts: the first looks back on selected topics from pre-calculus and calculus treating them more rigorously and it covers various proof techniques; the second part covers induction sets functions cardinality complex numbers permutations and matrices; the third part introduces basic number theory including applications to cryptography; the fourth part introduces key objects from abstract algebra; and the final part focuses on polynomials.</p><p>Features:</p><ul> <p> </p> <li>The material is presented in many short chapters so that one concept at a time can be absorbed by the student.</li> <p> </p> <li>Two looking back chapters at the outset (pre-calculus and calculus) are designed to start the student’s transition by working with familiar concepts.</li> <p> </p> <li>Many examples of every concept are given to make the material as concrete as possible and to emphasize the importance of searching for patterns.</li> <p> </p> <li>A conversational writing style is employed throughout in an effort to encourage active learning on the part of the student. </li> </ul>