**Georg Friedrich Bernhard Riemann** was a German mathematician who was born on 17 September 1826. He made contributions to differential geometry and number theory.

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## Riemann Education

Riemann has studied in the following universities:

- The University of Göttingen in the year 1846-1851
- The Humboldt University of Berlin in the year 1847-1849

## Bernhard Riemann Books

Some of the books written by Riemann:

- Collected Papers Bernhard Riemann.
- On the Hypotheses Which Lie at the Bases of Geometry.
- Riemann’s Influence on Modern Medicine, Physiology, Science, Mathematics and Religion.
- Rigorous Proofs for Riemann Hypothesis, Polignac’s and Twin Prime Conjectures in 2020.

## Contributions of Bernhard Riemann in Mathematics

Few of Riemann’s work which has changed a lot in Mathematics are listed below:

- Arithmetic Riemann–Roch theorem
- Cauchy–Riemann equations
- Compact Riemann surface
- Generalized Riemann hypothesis
- Generalized Riemann integral
- Grand Riemann hypothesis
- Grothendieck–Hirzebruch–Riemann–Roch theorem
- Hirzebruch–Riemann–Roch theorem
- Measurable Riemann mapping theorem
- Number theory
- Riemann bilinear relations
- Riemann conditions
- Riemann curvature tensor also called Riemann tensor
- Riemann form
- Riemann function
- Riemann hypothesis
- Riemann hypothesis for curves over finite fields
- Riemann integral
- Riemann invariant
- Riemann invariant
- Riemann mapping theorem
- Riemann matrix
- Riemann multiple integral
- Riemann operator
- Riemann problem
- Riemann series theorem
- Riemann singularity theorem
- Riemann solver
- Riemann sphere
- Riemann sum
- Riemann surface
- Riemann tensor
- Riemann theta function
- Riemann Xi function
- Riemann zeta function
- Riemann-Lebovitz formulation
- Riemann–Cartan geometry
- Riemann–Hilbert correspondence
- Riemann–Hilbert problem
- Riemann–Hurwitz formula
- Riemann–Lebesgue lemma
- Riemann–Liouville integral
- Riemann–Roch theorem
- Riemann–Roch theorem for smooth manifolds
- Riemann–Siegel formula
- Riemann–Siegel theta function
- Riemann–Silberstein vector
- Riemann–Stieltjes integral
- Riemann–von Mangoldt formula
- Riemann’s differential equation
- Riemann’s existence theorem
- Riemann’s explicit formula
- Riemann’s minimal surface
- Riemann’s theorem on removable singularities
- The tangential Cauchy–Riemann complex
- Zariski–Riemann space

## Interesting facts about Bernhard Riemann

Few of the Interesting things about him:

- Riemann has tried to prove many theories that were not been solved by many scientists.
- He died even before he could solve his own hypothesis. It is said that his hypothesis was been found by his son.
- It is said that Riemann hypothesis has been solved after almost 160 years.

## Mathematicians like Riemann

Few of the Mathematicians like Carl Friedrich Gauss, Georg Cantor, David Hilbert also originated from the same place.

Among the Reimann, Leonhard Euler, Pierre-Simon Laplace, Daniel Bernoulli are also few of the Mathematicians who are from 18th Century has done a great job in the field of Mathematics.

## Awards and Rewards under the name of Bernhard Riemann

Few of the Rewards given to Riemann

- Lunar features Crater Riemann
- Fellow of the Royal Society 1866

## FAQ About Bernhard Riemann

What is Bernhard Riemann famous for?

Riemann has done a great contribution to geometry. For Albert Einstein’s theory of relativity, He set the mathematical foundation.

What did Bernhard Riemann discover?

**Riemann** found that in four spatial dimensions, one needs a collection of ten numbers at each point to describe the properties of a manifold, no matter how distorted it is. This is the famous construction central to his geometry, known now as a Riemannian metric.

Where did Bernhard Riemann live?

Riemann was born in Germany. He even stayed in the Kingdom of Hanover.

Is the Riemann hypothesis solved?

It is said that Sir Michael Atiyah, a notable mathematician has solved the hypothesis.

When was Riemann born?

17 September 1826, In the Kingdom of Hanover, Riemann was born.

How did Riemann die?

July 20, 1866, Bernhard Riemann due to tuberculosis on in Selasca, Italy. He was just 39 years old at that time.

## Reference

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