This is a preview. Log in through your library . Abstract The aim of this paper is to argue that there existed relevant interactions between mechanics and geometry during the first half of the ...

It is known that Albert Einstein constructed equations of general relativity by adopting Riemann geometry. In addition to the key role it played in mathematics and physics, Riemann geometry has ...

Proceedings of the National Academy of Sciences of the United States of America, Vol. 8, No. 2 (Feb. 15, 1922), pp. 19-23 (5 pages) ...

The Riemann hypothesis, first proposed by German mathematician Bernhard Riemann in 1859, is considered to be one of the hardest and most important unsolved problems of pure mathematics — the study of ...

An institution has offered a $1 million prize to anyone who can solve a famous math problem that has puzzled mathematicians for more than a century. The Riemann hypothesis, first proposed by German ...

One of the most famous unsolved problems in mathematics likely remains unsolved. At a hotly-anticipated talk at the Heidelberg Laureate Forum today, retired mathematician Michael Atiyah delivered what ...

Think back to elementary school during which you learned about a seemingly useless mathematical relic called prime numbers. Your teacher told you in class one day that they are special numbers, ...

A hidden quantum geometry that distorts electron paths has finally been observed in real materials. This “quantum metric,” once thought purely theoretical, may revolutionize electronics, ...