Advanced Calculus: Theory and Practice, 2nd Edition (Hardback) book cover

Advanced Calculus

Theory and Practice, 2nd Edition

By John Srdjan Petrovic

Chapman and Hall/CRC

550 pages | 25 B/W Illus.

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Hardback: 9781138568211
pub: 2020-05-01
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Description

Advanced Calculus: Theory and Practice, Second Edition, 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 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.

Table of Contents

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

About the Author

John Srdjan Petrovic is a Professor at Western Michigan University.

About the Series

Textbooks in Mathematics

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Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT003000
MATHEMATICS / Applied
MAT007000
MATHEMATICS / Differential Equations
MAT037000
MATHEMATICS / Functional Analysis