Advanced Knowledge Problem of the Week 5-31-18: Function with Bounded Derivative [Real Analysis]

Check out this Advanced Knowledge Problem of the Week.
Be sure to let us know how you solved it in the comments below or on social media!

Solution below.

Problem of the Week 5-29-18: Numbers with Certain Divisors [Number Theory]

Check out this Problem of the Week.
Be sure to let us know how you solved it in the comments below or on social media!

Solution below.

New Video Series on Complex Analysis

Interested in learning a bit more about complex variables and some theorems about them? Then check out this new video series covering some of the basics of complex analysis! Complex analysis is an immensely useful subject that is found in many branches of mathematics. The residue theorem is especially well known as being an extremely important method for the integration of functions (real or complex!). Some other topics discussed include complex differentiation, Cauchy's Integral Formula, Liouville's theorem, the Möbius transformation, and much more!

Advanced Knowledge Problem of the Week 5-24-18: A Metric Space [Topology]

Check out this Advanced Knowledge Problem of the Week.
Be sure to let us know how you solved it in the comments below or on social media!

Solution below.

Problem of the Week 5-22-18: Integer Function [Number Theory]

Check out this Problem of the Week.
Be sure to let us know how you solved it in the comments below or on social media!

Solution below.

Some Trigonometric Identities