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surpassed Descartes and included differentiation and integration. Top Pappus of Alexandria (ca 300) Egypt, Greece Pappus, along with Diophantus, may have been one of the two greatest Western mathematicians during the 13 centuries that separated Hipparchus and Fibonacci.
In addition to his famous writings on practical mathematics and his ingenious theorems of geometry, Brahmagupta solved the general quadratic equation, and worked on number theory problems. Weierstrass shocked his colleagues when he demonstrated a continuous function which is differentiable nowhere. Top Bonaventura Francesco de Cavalieri (1598-1647) Italy Cavalieri worked in analysis, geometry and trigonometry (e.g. By treating the universe as a very high-dimensional phase space, he constructed an elegant mathematical basis (now called von Neumann algebras) for the principles of quantum physics. (Muhammed the Prophet of Allah is #1.) Whatever the criteria, Newton would certainly rank first or second on any list of physicists, or scientists in general, but some listmakers would demote him slightly on a list of pure mathematicians: his emphasis was physics not mathematics. Aristotle's writings on definitions, axioms and proofs may have influenced Euclid. However similar comments apply to Thales of Miletus, so it seems fair to mention Apastambha (who was perhaps the most creative Vedic mathematician before Panini) along with Thales as one of the earliest mathematicians whose name is known.
Had he not died at the age of 36, or if he had published more of his work, (or if Newton had never lived Gregory would surely be appreciated as one of the greatest mathematicians of the early Age of Science. Her approaches tended to unify disparate areas (algebra, geometry, topology, logic) and led eventually to modern category theory. Eilenberg is considered a founder of category theory, but also worked in algebraic topology, automata theory and other areas. He calculated to ten decimal places using Aitkin's method (rediscovered in the 20th century). Part of his mathematics thesis was rejected as ". Fermat and Euler had proved the impossibility of xk yk zk for k 4 and k 3; Dirichlet became famous by proving impossibility for k 5 at the age. His algebra was more symbolic and general than his predecessors he solved cubic equations (though not the general case applied Chinese remainder methods, and worked in number theory. While studying lens refraction, he invented the Ovals of Descartes. (In his work Newton also proved important theorems about inverse- cube forces, work largely unappreciated until Chandrasekhar's modern-day work.) Newton once wrote "Truth is ever to be found in the simplicity, and not in the multiplicity and confusion of things." Sir Isaac Newton was buried.
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