Abstract
In this chapter we focus on a special class of functions called continuous functions. Basically, a continuous function y = f(x) is characterized by the fact that it consists of no jumps, i.e., a small change in x causes a small change in y. An exact definition of continuity is given only in Section 4.2. Until then we suggest the phrase given by some unknown mathematician: "When you draw a continuous function, the chalk never separates from the blackboard".
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© 2011 Springer-Verlag Berlin Heidelberg
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Friedman, M., Kandel, A. (2011). Continuous Functions. In: Calculus Light. Intelligent Systems Reference Library, vol 9. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17848-1_4
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DOI: https://doi.org/10.1007/978-3-642-17848-1_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-17847-4
Online ISBN: 978-3-642-17848-1
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