Here's the second round of results from the Math Madness bracket (view the first post here).Keep checking in on the Math Madness webpage- we'll update the bracket image when we've released all the first round winners!

**Match 3: Gauss vs. Gromov**The third match sees Carl Friedrich Gauss, a German mathematician, against the modern mathematician Mikhail Gromov.

Karl Friedrich Gauss, known as the “prince of mathematics,” was a child prodigy. When his elementary teacher gave a problem to keep the students busy, Gauss famously summed the integers from 1 to 100 almost instantly (the correct answer is 5,050). He considered one of his crowning achievements to be developing a method for constructing a heptadecagon using only a straightedge and a compass, and he even wanted one inscribed on his tombstone. At age 24, Gauss published the

*Disquisitiones Arithmeticae*, in which he made several significant proofs and created a system for the study of number theory. Gauss ended up publishing only a fraction of his work because of his obsession with revising his papers. Many discoveries were made during Gauss’s time and shortly after his death, but when Gauss’s diary was discovered it was determined that he had priority on many results that he simply hadn’t published.

And, facing off against the math giant Gauss is Mikhael
Gromov, born in 1943 in the USSR and still teaching mathematics at New York
University. He is known mainly for his work in geometry, and in 2009 won an
Abel Prize “for his revolutionary contributions to geometry.” His work covers
three particular areas of achievement: Global Riemannian geometry, symplectic
geometry, and groups of polynomial growth.

Gromov is obviously an important figure in mathematics, and his
achievements are interspersed throughout a very interesting life. But while
Gromov has provided revolutionary contributions to geometry, Gauss
revolutionized the entire number theory field by creating a system for its
study. Therefore, Gauss moves on to the next round.

**Match 4: Euler vs. Ramanujan**

In this match, 18

^{th}century Leonhard Euler faces off against Ramanujan, the Indian mathematician and “Man who knew infinity.”
Euler was a Swiss mathematician who lived his entire life in
the 18

^{th}century. Possibly his most important contribution, Euler systemized mathematics by introducing symbols including*e, i,*and*f(x).*He provided the foundations of analysis in his book*Introducio in analysin infinitorum*. Euler even proved that the binomial theorem is valid for any rational exponent. He published over 800 papers in his lifetime, not even stopping when he went blind 17 years before his death.
Srinivasa Ramanujan could not have a more dissimilar back
story. Born in 1887 in Madras, India, he received no formal education in
mathematics. His main contributions to mathematics are in analysis and infinite
series. Ramanujan would never have entered the spotlight if not for English
mathematician G. H. Hardy, who saw the potential in Ramanujan and partnered with
him on several publications.

Ramanujan had an incredible mind, no doubt. However, his fame stems mostly from his
capabilities even with no formal education in math. Euler’s work contributed
much more to the growth of mathematics, and for that reason, he wins this
round.

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