Some "Eurekas" of Mathematics

In this first blog about interesting mathematical facts/discoveries, we explore the sizes of infinity.

In this second blog about interesting mathematical facts/discoveries, we explore other types of geometries, where seemly weird things can happen.

In this third blog about interesting mathematical facts/discoveries, we explore one potential threat to our decimal numeral system.

In this fourth blog about interesting mathematical facts/discoveries, we explore an interesting intersection of graph theory and cartography.

In this fifth blog about interesting mathematical facts/discoveries, we explore surreal numbers.

In this sixth blog about interesting mathematical facts/discoveries, we explore the brachistochrone problem.

In this seventh blog about interesting mathematical facts/discoveries, we take a look at some "eurekas" in the field of number theory, including some still unanswered questions.

In this eighth blog about interesting mathematical facts/discoveries, we take a look at some more recent "eurekas" in regards to the shape and geometry of the universe.

In this nineth blog about interesting mathematical facts/discoveries, we take a look at the mathematics behinds shuffling cards by using some group theory.

In this tenth blog about interesting mathematical facts/discoveries, we take a look at a certain topics in mathematics which relates to geography—geodesics!

In this eleventh blog about interesting mathematical facts/discoveries, we take a look at a certain topological result which tells us an interesting fact about the Earth's climate!