Abstract
This chapter discusses the continuous functions. It also discusses that f is continuous at c if limx→cf(x) = f(c), that is, if for every ɛ > 0 there exists a δ > 0, such that | f(x) − f(c) | < ɛ when | x − c | < δ. The concept of norm convergence, or uniform convergence, introduces the idea of convergence on a set of points rather than convergence at lots of points. Similarly, the idea of continuity can be extended to a property of a function on a set rather than at several points. The chapter also explains a few properties of a continuous function. Many properties of continuous functions are so basic that they are sometimes implicitly assumed to be true for all functions. The chapter describes the functions of two variables and some topological concepts.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call