Simon Fraser University

Riemann Sums

To approximate the area under a graph we split the region up into many thin rectangles. Drag the slider labeled n to increase the number of rectangles used. The height of the approximating rectangle ...
JSTOR Daily

Distinct Continuous Maps with All Riemann Sums Equal

Do examples as in the title exist? It depends on how the term Riemann sum is understood. For the standard, left, or right Riemann sums such examples do not exist. However, as we will see, they do ...
JSTOR Daily

The Riemann Hypothesis, Simple Zeros and the Asymptotic Convergence Degree of Improper Riemann Sums

We characterize the nonreal zeros of the Riemann zeta function and their multiplicities, using the "asymptotic convergence degree" of "improper Riemann sums" for elementary improper integrals. The ...
Simon Fraser University

Riemann Sums

To approximate the area under a graph we split the region up into many thin rectangles. Drag the slider labeled n to increase the number of rectangles used. The height of the approximating rectangle ...