https://doi.org/10.4169/amer.math.monthly.122.8.795 https://www.jstor.org/stable/10.4169/amer.math.monthly.122.8.795 We give a new proof of the complete version of ...

Using an equivalence relation on the hyperreals called approximation, a new extension of the Riemann integral is motivated and introduced in which every bounded function is integrable and for which ...

THE author of this book complains that while Lebesgue integration is everywhere firmly established as an essential part of the theory of functions, its treatment in English text-books “remains ...

THIS book, first published in 1929, is designed to cover the analysis required for the bachelor's degree in most of the Indian universities. It deals mainly with the theory of number, in which there ...

This course is compulsory on the BSc in Actuarial Science, BSc in Financial Mathematics and Statistics, BSc in Mathematics and Economics, BSc in Mathematics with Data Science, BSc in Mathematics with ...

Properties of the real numbers, infimum and supremum of sets. Numerical sequences and series. Limits of functions, continuous functions, intermediate value theorem, uniform continuity. Differentiation ...