Advanced Calculus: Theory and Practice

John Srdjan Petrovic

November 1, 2013 by Chapman and Hall/CRC
Textbook - 572 Pages - 99 B/W Illustrations
ISBN 9781466565630 - CAT# K16111
Series: Textbooks in Mathematics

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Features

  • Presents clear proofs that illuminate the context of the theorems
  • Points out the relationship among various topics in calculus
  • Includes a substantial amount of history, a large number of motivating examples, and an extensive list of references for further research of results or the history of a concept
  • Contains almost 100 worked-out exercises and over 1,000 homework problems (with selected solutions at the back of the book) to develop students’ problem-solving skills

Summary

Suitable for a one- or two-semester course, Advanced Calculus: Theory and Practice expands on the material covered in elementary calculus and presents this material in a rigorous manner. 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 takes a motivating approach that makes ideas less abstract to students. It explains how various topics in calculus may seem unrelated but in reality 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 as well as help students develop the necessary skills to closely examine the theorems. Proofs are also presented in an accessible way to students.

By strengthening skills gained through elementary calculus, this textbook leads students toward mastering calculus techniques. It will help them succeed in their future mathematical or engineering studies.