It’s surprisingly difficult to prove one of the most basic properties of a number: whether it can be written as a fraction. A broad new method can help settle this ancient question.
The Euler Archive is an online resource for Leonhard Euler's original works and modern Euler scholarship. This dynamic library and database provides access to original publications, and references to available translations and current research.
“Je suis, ou ai été, un mathématicien. [...] J’ai eu 90 ans le 1er octobre 2011. Un groupe d’une trentaine d’anciens élèves, d’amis et de collègues [...] m’ont fait cadeau d’un site Internet à mon nom contenant quelques dizaines de textes que j’ai écrits, mais pas toujours publiés, sur les relations entre science, technologie et armement, la course aux armements et autres sujets analogues.”
On September 24, 1501, Italian Renaissance mathematician, physician, astrologer and gambler Gerolamo Cardano was born. He wrote more than 200 works on medicine, mathematics, physics, philosophy, religion, and music. But, he is best known for his gambling that led him to formulate elementary rules in probability, making him one of the founders of probability theory.
On April 30, 1777, German mathematician and physical scientist Carl Friedrich Gauß was born. He who contributed significantly to many fields, including number theory, algebra, statistics, analysis, differential geometry, geodesy, geophysics, electrostatics, astronomy and optics. He is often referred to as Princeps mathematicorum (Latin, "the Prince of Mathematicians") as well as "greatest mathematician since antiquity".
On March 3, 1845, German mathematician Georg Cantor, creator of the set theory was born Set Theory is considered the fundamental theory of mathematics. He also proved that the real numbers are "more numerous" than the natural numbers, which was quite shocking for his contemporaries that there should be different numbers of infinity.
On November 27, 1852, Augusta Ada King, Countess of Lovelace, who is considered to be the world's very first programmer, passed away. Every student of computer science should have heart of the world's first programmer, Ada Countess of Lovelace, assistant to Charles Babbage, inventor of the very first programmable (mechanical) computer, the analytical engine.
F. Arzarello, M. Bussi, и O. Robutti. Proceedings of the 28th International Conference of the International Group for the Psychology of Mathematics Education, 4, стр. 89-96. (2004)