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

## 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

For More information about Riemann over