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Period: 70,000 BCE to 73,000 BCE
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Geometric drawings on rocks -
35,000 BCE
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Knowledge about the quantification of time. -
20,000 BCE
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First references to multiplication and prime numbers -
3400 BCE
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First numbering systems for weights and measures in Mesopotamia -
3100 BCE
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First decimal number systems in Egypt -
2800 BCE
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First decimal division systems for weights and measures in the Indus Valley -
2600 BCE
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Urbanism design with houses and streets with right angles in the Indus Valley -
2400 BCE
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Invention of an astronomical calendar of great mathematical precision in Egypt -
2000 BCE
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se of a base 60 decimal system and first approximation to the number π -
1700 BCE
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Quadratic equation with its solution -
1650 BCE
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In Egypt, first attempt to square the circle, first uses of the cotangent and linear equations of the first order -
530 BCE
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Pythagoras develops arithmetic, geography and harmonica. Discover the irrationality of the square root of two. -
520 BCE
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Panini (India) uses meta-rules, mathematical transformations and recursions -
500 BCE
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Indian mathematicians classify numbers into countables, innumerables and infinites. -
300 BCE
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The Indian astronomer Lagadha uses geometric and trigonometric methods to follow the movements of the sun and the moon. -
300 BCE
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introduction of the concept of zero or emptiness made by the Indians. -
300 BCE
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The Indians use zero as a digit for the first time, first use of Fibonacci numbers and description of a binary number system. -
300 BCE
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The Babylonians invent the abacus. -
300 BCE
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The Greek Euclid develops various geometric studies in his Elements of Euclid, demonstrates the infinity of prime numbers and the height theorem among many others. -
260 BCE
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Archimedes: liminal invention of integrals. -
250 BCE
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The Olmecs begin to use zero. -
225 BCE
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Apollonius of Perge studies conic sections, ellipses, parabolas and hyperboles. -
140 BCE
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The Greek Hipparco de Nicaea develops the bases of trigonometry. -
50 BCE
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A base ten numbering system is developed in India. -
1 CE
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First references to the square roots of negative numbers by Hero of Alexandria. -
300
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First uses of zero as a decimal digit in India. -
450
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In China the number π is calculated with seven decimal places. -
500
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In India the concepts of sine and cosine are introduced. -
600
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Brahmagupta develops a method for solving indeterminate equations of the second degree. -
1100
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Bhaskara Acharya conceives of calculus of differences. -
1202
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Fibonacci introduces Arabic numerals in Europe. -
1350
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Madhava of Sangamagrama introduces mathematical analysis. -
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John Napier introduces logarithms. -
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Pascal and Fermat develop the theory of probability. -
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Isaac Newton develops the calculus. -
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Leibniz discovers a technique for separating variables in differential equations. -
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Euler develops techniques for integrating and solving differential equations. -
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Gauss proves the fundamental theorem of algebra -
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Fourier discovers how to resolve periodic functions into convergent trigonometric series. -
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Bolzano introduces the intermediate value theorem. -
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Ampère discovers Stokes' theorem. -
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Francis Guthries states the four color theorem. -
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Frobenius develops a method for solving linear equations with regular singular points -
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Runge develops a Fourier transform algorithm. -
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Brouwer states the fixed point theorem. -
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John von Neumann develops the principles of game theory. -
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Mandelbrot studies fractals. -
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The classification of finite simple groups is finished. -
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Branges proves the Bierberbach conjecture. -
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Grigori Perelman proves the Poincaré conjecture -
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Harald Helfgott proves Golbach's weak conjecture.