Advanced Calculus: Theory and Practice, Second Edition offers a text
for a one- or two-semester course on advanced calculus or analysis.
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.
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.
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Features of the Second Edition:
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Improved Organization. Chapters are reorganized to address common
preferences.
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Enhanced Coverage of Axiomatic Systems. A section is added to include
Peano's system of axioms for the set of natural numbers and their use
in developing the well-known properties of the set N.
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Expanded and Organized Exercise Collection. 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
odd-numbered questions.
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Enrichment Material. Historical facts and biographies of over 60
mathematicians.
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Illustrations. Thirty-five new illustrations are added in order to
guide students through examples or proofs.
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About the Author:
John Srdjan Petrovic is a professor at Western Michigan University.
