Prehistory
The first tangible signs of accounting. appear in forms of carved notches.
Antiquity
 3500 BC – The mathematics are becoming essential to the administration of the first cities (Ur, Akkad, …) of Mesopotamia. The use of clay tablets are spreading to burn compatibility cuneiform (wedgeshaped). We discover the number Pi and gives a first approximation.
 3000 BC – Egyptians symbolize the numbers under the form of hieroglyphics. They refine the value of Pi.
 1800 BC : In Babylon (south of the current Baghdad), surveyors use math to build monuments. On a tablet, is plotted the first diagonal of the square and on a second resolution of the Pythagorean theorem.
 700 BC – . Mathematics move to Greece. Thales of Miletus measures the height of the pyramids with the theorem that establishes and which bear his name.
 500 BC – Plato ad topology (the study places or forms) with his treatise on 5 polyhedra.
 500 BC: Pythagoras shows (geometrically) the theorem discovered by the Sumerians. The Pythagoreans are horrified by discovering the existence of irrational numbers, such as the length of the diagonal of a square of side 1 which is √2, a number with infinite decimal that can put in the form of a fraction.
 450 BC – Phidias designed the Parthenon using the golden ratio Φ.
 400 BC – Eudoxus of Cnidus offers the socalled « of exhaustion » to calculate the area of a circle. This method foreshadows the calculus.
 400 BC – the side of the Indus invented the zero.
 350 BC – Euclid wrote his Elements in which he laid the 5 axioms of geometry called « Euclidean ».
 250 BC. Apollonius of Perge defines the parabola, ellipse and hyperbole as conic sections.

Trigonometry and astronomy 200 BC – Archimedes proposes a calculation method that will give birth to the logarithmic calculation over a thousand years later. It also specifies the value of Pi.  200 BC – Alexandria Diophantus is interested in equations integers. Ferma, Euler Gauss read extensively Diophantus.
 200 BC – Eratosthenes calculated the earth’s meridian.
 190 BC – Hipparchus of Nicea develops trigonometry for purposes of astronomy.
Timeline of mathematics
Middle age
The Middle Ages is a dark period in Europe for science in general and mathematics in particular. Religion has become the only field « investigation. The debates are essentially theological. Greek acquired are lost. But not for everyone. Arabs and Indians will happily get captured.
 800 AD – Brahma Gupta theorizes the zero as the result of the subtraction of a number by itself.
 850 AD – mathematics – Diophantus the Greek had set up the equations ^ still bear his name. But this is an Indian based in Baghdad, AlKwarizmi, which introduced into the equations, an unknown: the birth of algebra. He also developed trigonometry.
 1200 AD – zero and ArabicIndic digits finally penetrate Europe through Fibonacci Leonardo of Pisa said. He is credited as the famous suite that bears his name.
 1200 AD Four centuries before Descartes, Oresme laying the foundations of the Cartesian coordinate system.
 1596 – Kepler incurred the wrath of the Holy Inquisition, arguing that the planets describe ellipses which he calculates trajectories.
 1540 – François Viète proposed to note the unknown x in the algebraic equations.
 1550 – John Nappier sets up the logarithmic calculation. The natural logarithm function will be named in his honor, the natural logarithm.
 1581 – Rafaello Bombelli invented imaginary numbers to solve a cubic equation.
 1600 – Galileo supported Copernicus’s theories on heliocentrism who want the sun is the center of the universe. It also shows that a projectile describes a parabola.
Timeline of mathematics
The lights
 1629 – Albert Girard gives the basics of the fundamental theorem of algebra (an equation of nthcounter at most n solutions).
 1630 – Rene Descartes introduced the Cartesian coordinate system that solves problems via geometric algebra. An equation y = ax + b can thus be represented as a line. His invention later gave birth to the functions and analysis.
 1650 – Pierre de Fermat establishes the method of tangents which is the ancestor of the calculus of Leibniz and Newton.
 1650 – Pierre de Fermat laid the foundations of probabilistic calculation.
 1650 – St. Gregory Vincent shows that the area under the hyperbola follows a logarithmic function.
 1664 – Nicolas MERCATOR shows that the functions can be expressed in the form of infinite series.
 1680 – Newton developed calculus.
Isaac NEWTON 1685 – Jean Bernoulli laid the foundations of the exponential function e (x), that is to say the reciprocal of the natural logarithm function or Napierian ln (x). It shows that the sequence Σ (1 + 1 / n) ^{n } converges to e, the base of the natural logarithm.  1690 – Leibniz also develops its side calculus. His notation (dx) prevail over that of Newton.
 1712 – Brook Taylor shows that the functions can be expressed in the form of special series: Taylor series.
 1730 – Euler poses scoring
 f (x) for functions,
 e for exponential
 i for imaginary numbers invented by Bombelli
He monster 1 + 1/4 + 1/9 + 1/16 + .. 1 / n ² = Π / 6 and establishes a relationship between the primes and ordinary numbers. It establishes laplus beautiful expression of all temples:
e ^{iΠ} – 1 = 0
Timeline of mathematics
Mathematics will never be completed.
 1800 – Pierre Simon Laplace simplifies the process of derivation
 1830 – Gauss
 laying the foundations of nonEuclidean geometry
 gives a method to calculate the density of primes;
 demonstrates the fundamental theorem of arithmetic (any number breaks down ways single prime factor).
 1830 – Augustin Cauchy develops complex analysis
 1880 – Cantor sets set theory and works on infinite
 1905 – Poincaré develops topology initiated by Plato
 1933 – Kurt Gödel shows that all is not demonstrable
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