Motivated by a proof without words for the sum of the alternating harmonic series, this article delves into some interesting questions regarding a series to which the usual convergence tests do not ...
One of the most famous unsolved problems in mathematics likely remains unsolved. At a hotly-anticipated talk at the Heidelberg Laureate Forum today, retired mathematician Michael Atiyah delivered what ...
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 ...
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 ...
One of the most important unsolved problems in mathematics may have been solved, retired mathematician Michael Atiyah is set to claim on Monday. In a talk at the Heidelberg Laureate Forum in Germany, ...
A mathematician at Purdue University claims to have come up with a proof for the Riemann hypothesis, often called the greatest unsolved math problem, though the work has yet to be peer-reviewed. Louis ...
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 ...