1650 BC - Rhind Mathematical Papyrus, copy of a lost scroll from around 1850 BC, a great and still widely misunderstood synopsis of early geometry and mathematics, more information can be found at www.seshat.ch (http://www.seshat.ch),
750 - Al-Khawarzimi[?] - Arab - Mathematician - Considered father of modern algebra. First mathematician to work on the details of 'Arithmetic and Algebra of inheritance' besides the systematisation of the theory of linear and quadratic equations.
895 - Tabit ibn Qurrah[?]. Arab - The only surviving fragment of his original work contains an exceptionally brilliant chapter on the solution and properties of cubic equations.
975 - Al-Battani[?] - Arab- Trignometery - Extended the Indian concepts of Sine and Cosine to other Trigonometrical ratios, like tangent, secant and their reciprocals. It was Al-Battani, who had derived this formula: sin a = tan a / Ö (1+tan˛a) and Cosa = 1 / Ö(1 + tan˛a).
1020 - Abul Wafa[?] - Arab - Trignometery / Mathematics - It was Abul Wafa who had given this famous formula: sin (a + ß) = sin a cos ß + sin ß cos a. Abul Wafa had also discussed the quadrature of the parabola and the volume of the paraboloid.
1030 - Ali Ahmed Nasawi[?] - Arab- Develops the division of days into 24 hours, hours into 60 minutes and minutes into 60 seconds.
1070 - Omar Khayyam - Arab- begins to write Treatise on Demonstration of Problems of Algebra and classifies cubic equations. Invented the second and third degree of quadratic equations.
1811 - Carl Friedrich Gauss discusses the meaning of integrals with complex limits and briefly examines the dependence of such integrals on the chosen path of integration,
1824 - Niels Henrik Abel partially proves that the general quintic or higher equations cannot be solved by a general formula involving only arithmetical operations and roots,
1825 - Augustin-Louis Cauchy presents the Cauchy integral theorem for general integration paths -- he assumes the function being integrated has a continuous derivative,
1831 - Mikhail Vasilievich Ostrogradsky rediscovers and gives the first proof of the divergence theorem of earlier described by Lagrange, Gauss and Green,
1870 - Felix Klein constructs an analytic geometry for Lobachevski's geometry thereby establishing its self-consistency and the logical independence of Euclid's fifth postulate,
1908 - Josip Plemelj solves the Riemman problem about the existence of a differential equation with a given monodromic group[?] and uses Sokhotsky - Plemelj formulae,
1955 - Enrico Fermi, John Pasta[?], and Stanislaw Ulam numerically study a nonlinear spring model of heat conduction and discover solitary wave type behavior,
1983 - Gerd Faltings[?] proves the Mordell conjecture and thereby shows that there are only finitely many whole number solutions for each exponent of Fermat's last theorem,
This article is based on a timeline developed by Niel Brandt (1994) who has given permission for its use in Wikipedia. (See talk:Timeline of mathematics),
It is interesting for instance that a time span from the 4500 BC to 1993 has something in common, and that is the Pytgagorean triples and the Fermat's last theorem. 5000 years roughly passed to solve one mathematical question, which can be 'solved' intuitively at once as Fermat 'did'.
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