From 6000 BC to 5000 BC, the number of small holes on pottery in banpo village, China was arranged in the order of natural numbers, forming the arithmetic progression.
Egyptian hieroglyphics used decimal notation around 3000 BC.
From 2400 BC to 65438 BC+0600 BC, the early Babylonian clay cuneiform used 60-bit notation, mastered some cholesky decomposition and known pythagorean theorems, gave several groups of pythagorean numbers, and got accurate values.
From BC 1850 to BC 1650, Egyptian papyrus (Moscow papyrus and Rhine papyrus) used decimal notation to convert all scores into unit scores.
From BC 1400 to BC 1 100, decimal notation appeared in Oracle Bone Inscriptions of Yin Ruins in China.
China Zhou Gong (BC 1 1 century) and the special cases of Pythagorean Theorem known in Shang Gao era: Gousan, Gusi and Wuxian.
In the 8th century BC, the Western Zhou Dynasty in China perfected the education system of "Six Arts", in which "number" included knowledge of mathematics and astronomical calendar.
About 600 BC, Thales of Greece began to prove this proposition.
China Chenzi (about 6th or 7th century BC) knew the general form of Pythagorean theorem.
Around 540 BC, the Greek Pythagorean school put forward that "everything is a number" and discovered the Pythagorean theorem, which led to the discovery of incommensurable measures.
About 500 BC, India gave a fairly accurate numerical value in the Rope Sutra and knew the Pythagorean theorem.
In about 465 BC, Onopides of Theos (about 465 BC) put forward the restriction that only two tools can be used in geometric drawing: ruler and compass.
Around 460 BC, the Greek Homo sapiens school put forward three difficult problems in geometric drawing: turning a circle into a square, bisecting an angle and folding a cube in half.
Around 450 BC, Zhi Nuo of the Greek Elijah School put forward paradoxes, among which four paradoxes about sports aroused the long-term concern of later scholars.
Around 430 BC, the Greek Ann Di Feng put forward the exhaustion method.
Mo Jing of China gave some geometric concepts and propositions.
The Greek Anassa Golas theoretically studied the problem of turning a circle into a square.
At the end of 5th century BC, Hippocrates in Greece studied geometry.
About 4 10 BC, Democritus (Democritus, about 460-370 BC) put forward atomism.
About 380 BC, Plato, a Greek, founded an "Academy" in Athens, and advocated cultivating logical thinking ability by studying geometry.
About 370 BC, the Greek eudoxus founded the theory of proportion.
Around 350 BC, Mennehemiah of Greece began to study conic curves systematically.
About 340 BC, Aristotle laid the foundation of logic in Greece; Discuss the meaning and difference of definition, axiom and postulate.
In about 335 BC, Eudemus of Rhodes (about 320 BC) wrote The History of Geometry.
China calculates numbers in decimal system.
Around the 4th century BC, Greece made a counting board for calculation, which is the earliest known abacus calculation tool.
Around 300 BC, Euclid of Greece wrote "Elements of Geometry", which was the first model to establish a deductive mathematical system by axiomatic method.
China and Zhuangzi (369 BC-286 BC) put forward the problem of dividing rafts, which contained the idea of limit.
About 250 BC, Nicomedes of Greece put forward the mussel line.
From 250 BC to 2 12 BC, Archimedes of Greece determined the area and volume of a large number of complex geometric figures; The upper and lower bounds of pi are given. Design a method that can represent any large number; It is suggested that the answer to the question is inferred by mechanical method, which implies the idea of modern integral theory.
About 230 BC, Eratoseni of Greece invented the "sieving method".
About 225 BC, Apollonius wrote The Theory of Conic Curves, which completely described the properties of conic curves.
About 200 BC, China and Zhang Cang revised Nine Chapters Arithmetic.
About 150 BC, Shu Shu, the earliest existing mathematical work in China, was written (unearthed in Jiangling, Hubei Province between 1983- 1984).
About 65438 BC+040 BC, Hippocrates in Greece used latitude and longitude to determine the position of stars on the celestial sphere; Make a "string table" similar to trigonometric function table.
About 65438 BC+000 BC, China's Zhou Pian Shu Jing was written and described the Pythagorean theorem.
Nine Chapters Arithmetic is the most important mathematical work in ancient China. It has been revised and finalized by several generations (according to legend, it was written in 50- 100). Among them, proportional calculation, linear interpolation, residual skills, solving linear equations, positive and negative arithmetic, positive and negative arithmetic and so on are all important contributions in the history of world mathematics.
BC 100- AD 100 The Mayans in Central America adopted dotted decimal notation.