User:Vrrm/Timeline of literature

This is a timeline of literature and history.

• ca. 70,000 BC — South Africa, ochre rocks adorned with scratched geometric patterns.^[1]

• c. 1000 BC — Vulgar fractions used by the Egyptians. However, only unit fractions are used (i.e., those with 1 as the numerator) and interpolation tables are used to approximate the values of the other fractions.^[2]

• 975 — Al-Batani extended the Indian concepts of sine and cosine to other trigonometrical ratios, like tangent, secant and their inverse functions. Derived the formulae: ${\displaystyle \sin \alpha =\tan \alpha /{\sqrt {1+\tan ^{2}\alpha }}}$ and ${\displaystyle \cos \alpha =1/{\sqrt {1+\tan ^{2}\alpha }}}$.

• 1596 — Ludolf van Ceulen computes π to twenty decimal places using inscribed and circumscribed polygons.

• 1614 — John Napier discusses Napierian logarithms in Mirifici Logarithmorum Canonis Descriptio,

• 1706 — John Machin develops a quickly converging inverse-tangent series for π and computes π to 100 decimal places,

• 1801 — Disquisitiones Arithmeticae, Carl Friedrich Gauss's number theory treatise, is published in Latin

^[3]

• 1900 — David Hilbert publishes Hilbert's problems, a list of unsolved problems

• 2002 — Manindra Agrawal, Nitin Saxena, and Neeraj Kayal of IIT Kanpur present an unconditional deterministic polynomial time algorithm to determine whether a given number is prime (the AKS primality test),

• Literature portal

• David Eugene Smith, 1929 and 1959, A Source Book in Mathematics, Dover. ISBN 0-486-64690-4.

• O'Connor, John J.; Robertson, Edmund F., "A Mathematical Chronology", MacTutor History of Mathematics Archive, University of St Andrews

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