Advanced Calculus

<p><strong>Advanced Calculus: Theory and Practice Second Edition</strong> offers a text for a one- or two-semester course on advanced calculus or analysis.<b><i> </i></b>The text improves students’ problem-solving and proof-writing skills familiarizes them with the historical development of calculus concepts and helps them understand the connections among different topics. </p><p>The book explains how various topics in calculus may seem unrelated but have common roots. Emphasizing historical perspectives the text gives students a glimpse into the development of calculus and its ideas from the age of Newton and Leibniz to the twentieth century. Nearly 300 examples lead to important theorems.</p><p>Features of the Second Edition:</p><ul> <p> </p> <li>Improved Organization. Chapters are reorganized to address common preferences.</li> <b> </b><p> </p> <li>Enhanced Coverage of Axiomatic Systems. A section is added to include Peano’s<b> </b>system of axioms for the set of natural numbers and their use in developing the well-known properties of the set N. </li> <b> </b><p> </p> <li>Expanded and Organized Exercise Collection. There are close to 1000 new exercises many of them with solutions or hints. Exercises are classified based on the level of di?culty. Computation-oriented exercises are paired and solutions or hints provided for the<b> </b>odd-numbered questions.</li> <b> </b><p> </p> <li>Enrichment Material. Historical facts and biographies of over 60 mathematicians.</li> <b> </b><p> </p> <li>Illustrations. Thirty-five new illustrations are added in order to guide students through<b> </b>examples or proofs.</li> </ul><p>About the Author:</p><p>John Srdjan Petrovic is a professor at Western Michigan University.</p>