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algebraic analytical ancient antiquity appeared Arabic Archimedes arithmetic astronomy axiom Babylonian Babylonian mathematics became Berlin Bernoulli calculus calculus of variations Cantor Cauchy Cayley century Chinese Chinese mathematics circle classical complex numbers computational conception conic contains cubic curves D'Alembert decimal Descartes developed differential equations Diophantus discovery Dover reprint edition Egyptian Empire Euclid Euclid's Elements Eudoxus Euler Eutocius Fermat fluxions fractions French functions Galois Gauss Greek mathematics Hindu-Arabic numerals History of Mathematics Huygens ideas illustrations important infinite influence integral introduction Johann Lagrange Laplace later Leibniz Leipzig Math mathematicians matics method modern Newton ngbg non-Euclidean geometry notation number theory Oriental Oriental mathematics original paper Paperbound Paris Pascal period philosophers plane problems professor projective geometry published Pythagorean quadratic quaternions Riemann rigorous Roman sexagesimal showed so-called solution solved square symbols texts theorem tion tradition translation triangle trigonometric unit fractions volume Weierstrass wrote