Search results
Results from the WOW.Com Content Network
The ancient period introduced some of the ideas that led to integral calculus, but does not seem to have developed these ideas in a rigorous and systematic way. . Calculations of volumes and areas, one goal of integral calculus, can be found in the Egyptian Moscow papyrus (c. 1820 BC), but the formulas are only given for concrete numbers, some are only approximately true, and they are not ...
[10] [11] [8] Unlike the flourishing of Greek literature in the span of 800 to 600 BC, not much is known about Greek mathematics in this early period—nearly all of the information was passed down through later authors, beginning in the mid-4th century BC. [12] [13]
4th century - The Pappus's centroid theorem, 5th century - Zu Chongzhi established a method that would later be called Cavalieri's principle to find the volume of a sphere . 600 - Liu Zhuo is the first person to use second-order interpolation for computing the positions of the sun and the moon.
In the Posterior Analytics, Aristotle (384–322 BC) laid down the logic for organizing a field of knowledge by means of primitive concepts, axioms, postulates, definitions, and theorems. Aristotle took a majority of his examples for this from arithmetic and from geometry, and his logic served as the foundation of mathematics for centuries.
This is a timeline of pure and applied mathematics history.It is divided here into three stages, corresponding to stages in the development of mathematical notation: a "rhetorical" stage in which calculations are described purely by words, a "syncopated" stage in which quantities and common algebraic operations are beginning to be represented by symbolic abbreviations, and finally a "symbolic ...
The works of Aristotle, sometimes referred to by modern scholars with the Latin phrase Corpus Aristotelicum, is the collection of Aristotle's works that have survived from antiquity. According to a distinction that originates with Aristotle himself, his writings are divisible into two groups: the " exoteric " and the " esoteric ". [ 1 ]
Aristotelians also accord a role to abstraction and idealisation in mathematical thinking. This view goes back to Aristotle's statement in his Physics that the mind 'separates out' in thought the properties that it studies in mathematics, considering the timeless properties of bodies apart from the world of change (Physics II.2.193b31-35).
Among the last great Greek mathematicians is Pappus of Alexandria (4th century AD). He is known for his hexagon theorem and centroid theorem, as well as the Pappus configuration and Pappus graph. His Collection is a major source of knowledge on Greek mathematics as most of it has survived. [83]