New Video Series on Unusual Properties in Math

     

This series gives examples of some of the unusual things that can happen in math. Some examples are an infinite field that cannot be ordered, a bounded function having no relative extrema, a function only continuous at irrational points, and a sequence of functions with derivatives that diverge everywhere.

Problem of the Week 6-27-19: A Pair of Equations [Algebra]

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.

Advanced Knowledge Problem of the Week 6-25-19: Fixed Point of a Group Action [Group Theory]

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 6-20-19: Floor Functions and Exponents [Algebra]

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.

Advanced Knowledge Problem of the Week 6-18-19: Powers of an Element in a Subgroup [Group Theory]

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 6-13-19: An Equation with Absolute Values [Algebra]

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.