ABSTRACT

This book provides a one-semester undergraduate introduction to counterexamples in calculus and analysis. It helps engineering, natural sciences, and mathematics students tackle commonly made erroneous conjectures. The book encourages students to think critically and analytically, and helps to reveal common errors in many examples.In this book, the

part I|2 pages

I Functions of one real variable

chapter 1|32 pages

Elementary properties of functions

chapter 2|18 pages

Limits

chapter 3|36 pages

Continuity

chapter 4|44 pages

Dierentiation

chapter 5|42 pages

Integrals

chapter 6|30 pages

Sequences and series

part II|2 pages

II Functions of two real variables

chapter 7|30 pages

Limits and continuity

chapter 8|50 pages

Dierentiability

chapter 9|36 pages

Integrability