ABSTRACT

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 unders

chapter 1|34 pages

Sequences and Their Limits

chapter 2|16 pages

Real Numbers

chapter 3|40 pages

Continuity

chapter 4|26 pages

Derivative

chapter 5|18 pages

Indefinite Integral

chapter 6|34 pages

Definite Integral

chapter 7|28 pages

Infinite Series

chapter 8|32 pages

Sequences and Series of Functions

chapter 9|30 pages

Fourier Series

chapter 10|38 pages

Functions of Several Variables

chapter 12|32 pages

Implicit Functions and Optimization

chapter 13|30 pages

Integrals Depending on a Parameter

chapter 14|38 pages

Integration in Rn

chapter 16|78 pages

Solutions and Answers to Selected Problems