Kepler's laws of planetary motion were used as arguments in favor of the heliocentric hypothesis. Three apparent proofs of the heliocentric hypothesis were provided in 1727 by James Bradley, in 1838 b ...
To anyone who stands and looks up at the sky, it seems that the Earth stays in one place, while everything in the sky rises in the east and sets in the west once a day. However, with more scrutiny one ...
Though the original text has been lost, a reference in Archimedes' book The Sand Reckoner (Archimedis Syracusani Arenarius Dimensio Circuli) describes another work by Aristarchus in which he advanced ...
Heraclides' father was Euthyphron, a wealthy nobleman who sent him to study at the Platonic Academy in Athens under its founder Plato and under his successor Speusippus. According to Suda, Plato, on h ...
Callippus (/k??l?p.?s/; Greek: Κ?λλιπο?; c. 370 BC – c. 300 BC) was a Greek astronomer and mathematician.Callippus was born at Cyzicus, and studied under Eudoxus of Cnidus at the Academy ...
Very few original references to Euclid survive, so little is known about his life. The date, place and circumstances of both his birth and death are unknown and may only be estimated roughly relative ...
Integrals can be taken over regions other than intervals. In general, an integral over a set E of a function f is written:\int_E f(x) \, dx.Here x need not be a real number, but can be another suitabl ...
Pre-calculus integration The first documented systematic technique capable of determining integrals is the method of exhaustion of the ancient Greek astronomer Eudoxus (ca. 370 BC), which sought to fi ...
Historically, applied mathematics consisted principally of applied analysis, most notably differential equations; approximation theory (broadly construed, to include representations, asymptotic method ...
Mathematical analysis formally developed in the 17th century during the Scientific Revolution, but many of its ideas can be traced back to earlier mathematicians. Early results in analysis were implic ...
The first historical find of an arithmetical nature is a fragment of a table: the broken clay tablet Plimpton 322 (Larsa, Mesopotamia, ca. 1800 BCE) contains a list of "Pythagorean triples", i.e., int ...
Main article: Formal languageA formal language is a set of finite sequences of symbols. Such a language can be defined without reference to any meanings of any of its expressions; it can exist before ...
Euclidean geometry has become closely connected with computational geometry, computer graphics, convex geometry, incidence geometry, finite geometry, discrete geometry, and some areas of combinatorics ...
Because the recorded development of geometry spans more than two millennia, it is hardly surprising that perceptions of what constitutes geometry have evolved throughout the ages:Practical geometry Ge ...
Some fields that were encompassed in the area of water resources (mainly for urban use), would included groundwater exploitation, construction of aqueducts for water supply, storm water and wastewater ...
