Science and math

Curvilinear coordinates

In geometrycurvilinear coordinates are a coordinate system for Euclidean space in which the coordinate lines may be curved. These coordinates may be derived from a set of Cartesian coordinates by using a transformation that is locally invertible (a one-to-one map) at each point. 

https://en.wikipedia.org/wiki/Curvilinear_coordinates#:~:text=In%20geometry%2C%20curvilinear%20coordinates%20are,one%20map)%20at%20each%20point.

Curvilinear coordinates was last modified: October 22nd, 2023 by Jovan Stosic

Gregorio Ricci-Curbastro

Gregorio Ricci-Curbastro (Italian: [ɡreˈɡɔːrjo ˈrittʃi kurˈbastro]; 12 January 1853 – 6 August 1925) was an Italian mathematician. He is most famous as the discoverer of tensor calculus.

With his former student Tullio Levi-Civita, he wrote his most famous single publication, a pioneering work on the calculus of tensors, signing it as Gregorio Ricci. This appears to be the only time that Ricci-Curbastro used the shortened form of his name in a publication, and continues to cause confusion.

Ricci-Curbastro also published important works in other fields, including a book on higher algebra and infinitesimal analysis,and papers on the theory of real numbers, an area in which he extended the research begun by Richard Dedekind.

https://en.wikipedia.org/wiki/Gregorio_Ricci-Curbastro

Gregorio Ricci-Curbastro was last modified: October 17th, 2023 by Jovan Stosic

Gottlob Frege

Friedrich Ludwig Gottlob Frege (/ˈfreɪɡə/; German: [ˈɡɔtloːp ˈfreːɡə]; 8 November 1848 – 26 July 1925) was a German philosopher, logician, and mathematician. He was a mathematics professor at the University of Jena, and is understood by many to be the father of analytic philosophy, concentrating on the philosophy of language, logic, and mathematics. Though he was largely ignored during his lifetime, Giuseppe Peano (1858–1932), Bertrand Russell (1872–1970), and, to some extent, Ludwig Wittgenstein (1889–1951) introduced his work to later generations of philosophers. Frege is widely considered to be the greatest logician since Aristotle, and one of the most profound philosophers of mathematics ever.

His contributions include the development of modern logic in the Begriffsschrift and work in the foundations of mathematics. His book the Foundations of Arithmetic is the seminal text of the logicist project, and is cited by Michael Dummett as where to pinpoint the linguistic turn. His philosophical papers “On Sense and Reference” and “The Thought” are also widely cited. The former argues for two different types of meaning and descriptivism. In Foundations and “The Thought”, Frege argues for Platonism against psychologism or formalism, concerning numbers and propositions respectively. Russell’s paradox undermined the logicist project by showing Frege’s Basic Law V in the Foundations to be false.

https://en.wikipedia.org/wiki/Gottlob_Frege

Gottlob Frege was last modified: August 20th, 2023 by Jovan Stosic

Hippasus

Hippasus of Metapontum (/ˈhɪpəsəs/; Greek: Ἵππασος ὁ Μεταποντῖνος, Híppasos; c. 530 – c. 450 BC) was a Greek philosopher and early follower of Pythagoras. Little is known about his life or his beliefs, but he is sometimes credited with the discovery of the existence of irrational numbers. The discovery of irrational numbers is said to have been shocking to the Pythagoreans, and Hippasus is supposed to have drowned at sea, apparently as a punishment from the gods for divulging this. However, the few ancient sources which describe this story either do not mention Hippasus by name (e.g. Pappus) or alternatively tell that Hippasus drowned because he revealed how to construct a dodecahedron inside a sphere.[citation needed] The discovery of irrationality is not specifically ascribed to Hippasus by any ancient writer.

https://en.wikipedia.org/wiki/Hippasus

Hippasus was last modified: August 20th, 2023 by Jovan Stosic

Leopold Kronecker

Leopold Kronecker (German: [ˈkʁoːnɛkɐ]; 7 December 1823 – 29 December 1891) was a German mathematician who worked on number theory, algebra and logic. He criticized Georg Cantor’s work on set theory, and was quoted by Weber (1893) as having said, “Die ganzen Zahlen hat der liebe Gott gemacht, alles andere ist Menschenwerk” (“God made the integers, all else is the work of man”). Kronecker was a student and lifelong friend of Ernst Kummer.

https://en.wikipedia.org/wiki/Leopold_Kronecker

Leopold Kronecker was last modified: August 20th, 2023 by Jovan Stosic