Introduction to the Lebesgue Integral

Mangatiana A. Robdera
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Mangatiana A. Robdera: Al Akhawayn University, School of Science and Engineering

Chapter 10 in A Concise Approach to Mathematical Analysis, 2003, pp 271-311 from Springer

Abstract: Abstract Although the Riemann integral finds many useful applications, we will see in this chapter that it has some great limitations. The class of Riemann integrable functions is “incomplete” in some sense. We will build upon these limitations of the Riemann integral to introduce a more far-reaching theory of integration: the Lebesgue integral.1

Date: 2003
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DOI: 10.1007/978-0-85729-347-3_10

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