John Srdjan Petrovic
Chapman and Hall/CRC
May 12, 2020 Forthcoming
Textbook - 608 Pages - 25 B/W Illustrations
ISBN 9781138568211 - CAT# K43588
Series: Textbooks in Mathematics
For Instructors Request Inspection Copy
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.
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
We provide complimentary e-inspection copies of primary textbooks to instructors considering our books for course adoption.