Introduction to Continuity

Steen Pedersen ()
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Steen Pedersen: Wright State University, Department of Mathematics

Chapter 2 in From Calculus to Analysis, 2015, pp 45-50 from Springer

Abstract: Abstract In this chapter the algebra of continuous functions is established. A function that is continuous at each irrational number and discontinuous at each rational number is constructed. This function is know as the Riemann function, the Thomae function, the ruler function, or the raindrop function.

Keywords: Thomas Mappes; Mapping Rules; Riemann Mapping; Irrational Number; Continuous Function (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-13641-7_2

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