Advanced Calculus
ISBN: 978-10-324-7433-5
Format: 17.8x25.4cm
Liczba stron: 624
Oprawa: Miękka
Wydanie: 2023 r.
Język: angielski
Dostępność: dostępny
<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> </B></I>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><br/><br/><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><br/><br/><P></P><B><br/><br/><P>Features of the Second Edition:</P><br/><br/><UL><br/><br/><P><br/><br/><LI>Improved Organization. </B>Chapters are reorganized to address common preferences.</LI><br/><br/><P></P><B><br/><br/><P><br/><br/><LI>Enhanced Coverage of Axiomatic Systems. </B>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><br/><br/><P></P><B><br/><br/><P><br/><br/><LI>Expanded and Organized Exercise Collection. </B>There are close to 1,000 new exercises, many of them with solutions or hints. Exercises are classified based on the level of difficulty. Computation-oriented exercises are paired and solutions or hints provided for the<B> </B>odd-numbered questions.</LI><br/><br/><P></P><B><br/><br/><P><br/><br/><LI>Enrichment Material. </B>Historical facts and biographies of over 60 mathematicians.</LI><br/><br/><P></P><B><br/><br/><P><br/><br/><LI>Illustrations. </B>Thirty-five new illustrations are added in order to guide students through<B> </B>examples or proofs.</LI><br/><br/><P></P></UL><br/><br/><P></P><B><br/><br/><P>About the Author:</P><br/><br/><P></P></B><br/><br/><P>John Srdjan Petrovic is a professor at Western Michigan University.</P>