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