Niels Henrik Abel (18021829)

 Born in Norway.
 He demonstrated that the general quintic equation could not be solved algebraically.
 He transformed the theory of elliptic integrals by introducing elliptic functions.
 He provided the first stringent proof of the bionomial theorem.
 Maria Gaetana Agnesi (17181799)
 Born in Italy.
 In her book Analytical Institutions, she formed a complete and integrated treatment of algebra and analysis and new ideas and techniques of calculus.
 Albuzjani (940998)
 Born in Iran.
 He introduced some trigonometrical functions.
 He constructed tables of tangents and cotangents.
 Omar Alkayami (fl. early 11th century)
 Born in ??.
 Through geometric tratment of cubic equations, he obtained a root as the abcissa of a point of intersection of a conic and a circle.
 He is said to have stated that a formula showing that the sum of two cubes equals a third cube is impossile to solve.
 Anaximander (611 BCE – 545 BCE)
 Born in Greece.
 It is stated that he wrote a treatise on geometry, in which he paid attention to the properties of spheres and to the concept of infinity in space and time.
 Apollonius of Perga (ca. 262240 BCE to ca. 190170 BCE)
 Born in Greece.
 He was one of the founding fathers of mathematical astronomy.
 He described in his writings a new idea on how to subdivide the cone to produce circles.
 He catalogued new kinds of closed curves that he named ellipses, parabolas, and hyperbolas.
 He presented a method of figuring at what points a planetary orbit takes on apparent retrograde motion.
 Archimedes (fl. ca. 225 BCE)
 Born in Italy.
 He proved the modern formula for the area of a circle involving pi.
 He provided a means of finding the area of a parabola by summing a certain infinite geometric series.
 He found how to determine surfaces areas of spheres and related bodies.
 He was the first to apply geometry successfully to statics and hydrostatics.
 He proved a number of theorems about the area swept by a spiral.
 Archytas (fl. ca. 400 BCE)
 Born in Italy.
 He produced a solution for finding the side of a cube whose volume is double that of a given cube.
 Jean Robert Argand (17681822)
 Born in Switzerland.
 He gave a geometrical representation of a complex number, and applied it to show that every algebraic equation has a root.