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Hans Carl Friedrich von Mangoldt
Hans Karl Friedrich von Mangoldt.jpeg
Born (1854-05-18)18 May 1854
Died 27 October 1925(1925-10-27) (aged 71)
Danzig-Langfuhr
Alma mater University of Berlin
Scientific career
Fields Mathematics
Doctoral advisor Karl Weierstrass
Ernst Kummer

Hans Carl Friedrich von Mangoldt (born in Weimar in 1854 – died in Danzig in 1925) was an important German mathematician. He helped solve a big puzzle in math called the prime number theorem.

About Hans von Mangoldt

Hans von Mangoldt was born in 1854 in a city called Weimar, which was part of Germany. He grew up to be a very smart person who loved numbers.

His Education and Work

In 1878, Hans von Mangoldt finished his highest degree, a Doctorate of Philosophy (Ph.D.), at the University of Berlin. His teachers were two famous mathematicians, Ernst Kummer and Karl Weierstrass.

After his studies, Mangoldt became a professor at the RWTH Aachen university. He taught many students there. Later, another mathematician named Otto Blumenthal took over his position.

His Big Contribution to Math

Mangoldt is best known for his work on the prime number theorem. This theorem helps us understand how prime numbers are spread out among all numbers. Prime numbers are special numbers that can only be divided by 1 and themselves (like 2, 3, 5, 7, 11).

Another famous mathematician, Bernhard Riemann, had written a paper about this theorem. Riemann had some great ideas, but he didn't fully prove all of them. Mangoldt stepped in and provided strong, clear proofs for two of Riemann's important statements. This made Riemann's work much more solid and complete. Mangoldt's careful work helped mathematicians truly understand the prime number theorem.

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