Advanced Calculus

Theory and Practice

John Petrovic

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English

Chapman & Hall/CRC
21 February 2023

Calculus & mathematical analysis; Technology, Engineering & Agriculture; Environmental science, engineering & technology

Series: Textbooks in Mathematics

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.

Features of the Second Edition:

Improved Organization. Chapters are reorganized to address common preferences.

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.

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.

Enrichment Material. Historical facts and biographies of over 60 mathematicians.

Illustrations. Thirty-five new illustrations are added in order to guide students through examples or proofs.

About the Author:

John Srdjan Petrovic is a professor at Western Michigan University.

By: John Petrovic
Imprint: Chapman & Hall/CRC
Country of Publication: United Kingdom
Edition: 2nd edition
Dimensions: Height: 254mm, Width: 178mm,
Weight: 1.320kg
ISBN: 9781032474335
ISBN 10: 1032474335
Series: Textbooks in Mathematics
Pages: 622
Publication Date: 21 February 2023
Audience: College/higher education , General/trade , Primary , ELT Advanced
Format: Paperback
Publisher's Status: Active

Real Numbers; Sequences and Their Limits; Continuity; The Derivative; The Indefinite Integral; The Definite Integral; Infinite Series; Sequences and Series of Functions; Fourier Series; Functions of Several Variables; Derivatives; Implicit Functions and Optimization; Integrals Depending on a Parameter; Integration in Rn, Fundamental Theorems; Solutions and Answers to Selected Problems; Bibliography; Subject Index; Author Index

John Srdjan Petrovic is a Professor at Western Michigan University.