-
100
Square Root of Neg Numbers
Heron of Alexandria references square roots of negative numbers. -
250
Arithmetica written
Diophantus uses symbols for unknown numbers and writes one of the earliest treatises on algebra, Arithmetica. -
400
Bakhshali manuscript written
Jaina mathematicians describe a theory of infinity, logarithms, and square roots of large numbers with an accuracy of 11 decimal places. -
450
Pi to seven decimal places
Zu Chongzhi computes Pi to seven decimal places. -
500
Introduction of Trignometric Functions
Aryabhata defines the concepts of sine and cosine and includes tables for sine and cosine from 0 to 90 degrees. -
550
Numberical Representation of Zero
Hidu mathematicians give zero a numberical representation in the Indian numeral system. -
Jan 1, 700
Fibonacci Sequence Rules
Virasena gives rules for Fibonacci Sequence. -
Jan 1, 1000
Law of Sines discovered
Muslim mathematicians discover the Law of Sines, though it is unclear who actually discovered it. -
Jan 1, 1100
Universal Hindu-Arabic numbers
Indian numberals are modified by Arab mathematicians to form universal number system. -
Jan 1, 1101
Calculus conceived by Bhaskara Acharya
Bhaskara Acharya conceives differential calculus and developes Rolle's Theorem. -
Jan 1, 1202
Book of the Abacus written by Leonardo Fibonacci
Liber Abaci (Book of the Abacus) is written by Leonardo Fibonacci demostrating the use of the Hindu-Arabbic numerals. -
Pi to twenty decimal places
Ludolf van Ceulen computes pi using inscribed and circumscribes polygons. His computation was accurate to 20 decimal places. -
Napierian Logarithms
John Napier writes a book explaining Napierian logarithms. -
Decarte and Fermat discover analytic geometry.
Both Rene Decartes and Pierre de Fermat claim to independently discover analytic geometry. -
Imaginary Numbers
Rene Decartes uses imaginary numbers. -
Theory of Probability
Blaise Pascal and Pierre de Fermat create the theory of probability. -
Fundemental Theorem of Calculus
Issac Newton works on the Fundemental Theorem of Calculus and developes his discovery of infintesimal calculus. -
Leibniz's Infinitesimal Calculus
Gottfried Leibniz developes infinitesimal calculus about the same time as Newton. -
Pi to 100 digits
John Machin calculate pi to 100 digits using a quickly converging inverse-tangent series. -
Taylor series
Brook Tylor developes Taylor series. -
de Moivre's Formula
Abraham de Moivre connects trigonometric functions and complex numbers with de Moivre's Formula. -
Normal distribution approximates binomial distribution
Abraham de Moivre introduces an approximation of the binomial distribution using the normal distribution. -
Graph Theory
Euler solve the Seven Bridges of Konigsber pioneering graph theory. -
Bayes' Theorem
Thomas Bayes proves Bayes' Theorem for use in probability. -
Pi as an irrational number.
Johann Heinrich Lambert proves that pi is an irrational number. -
Fundemental Theorem of Algebra
Carl Friedrich Gauss proves the Fundemental Theorem of Algebra stating that every polynomial has a solution in complex numbers. -
Method of Least Squares
Adrien-Marie Legendre introduces the method of least squares to fit a curve to data. -
Mobius Strip
August Ferdinand Mobius invents the Mobius strip and introduces topology. -
Riemann Hypothesis
Bernhard Riemann formulates the Riemann hypothesis having to do with the distribution of prime numbers. -
Klein Bottle
Felix Klein invents the Klein bottle expanding the field of topology in mathematics. -
Pi to 2,037 places
John von Neumann computes pi to 2,037 places using the computer ENIAC. -
Fuzzy Mathematics
Lotfi Asker Zadeh, an Iranian mathematician, founded fuzzy set theory and later Fuzzy Mathematics. -
Al-Khwarizmi writes first Algebra book
Al-Khwarizmi, a Persian mathematician, writes Al-Jabra. Later this would translate to Algebra. The book includes methods for solving linear and quadratic equations using algorithms (which is also named after him.)
