Encyclopedia - Mathematics

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abacus absolute value al-Khwarizmi algebra algebraic equation algebraic geometry algebraic topology analysis analytic geometry angle Apollonius of Perga Archimedes arithmetic Aryabhata I associative law asymptote axiom Bernoulli family Bhaskara I Bhaskara II

binomial theorem Brahmagupta calculus Cantor, Georg catastrophe theory Cauchy, Augustin-Louis, Baron Cauchy-Schwarz inequality central limit theorem centroid circle combinatorics commutative law complex number complex variable conformal map conic section continuity convergence coordinate system correlation

curl curvature curve density function derivative determinant difference equation differential differential calculus differential equation differential geometry differential operator differentiation dimension distance formula distributive law divergence eigenvalue ellipse elliptic geometry

equation equivalence relation Erdös , Paul error estimation Euclid Euclidean geometry Euclidean space Euler's formula Euler, Leonhard exponential function factor factorial Fermat, Pierre de Fibonacci numbers field theory four-colour map problem Fourier series Fourier transform Fourier, (Jean-Baptiste-) Joseph, Baron

fractal geometry fraction frequency distribution function functional analysis fundamental theorem of algebra fundamental theorem of arithmetic fundamental theorem of calculus Gödel's theorem Gödel, Kurt Gauss, Carl Friedrich golden ratio gradient graph group theory Heron's formula Hilbert, David Hindu-Arabic numerals histogram Hua Hengfang

hyperbola hyperbolic function hyperbolic geometry hypothesis testing imaginary number inequality infinite series infinity information theory inner product space integer integral integral calculus integral equation integral transform integration interpolation inverse function irrational number Jia Xian

knot theory L'Hôpital's rule Lagrange, Joseph-Louis Laplace transform Laplace's equation Laplace, Pierre-Simon, marquis de law of cosines law of sines least squares method length of a curve length, area, and volume Li Chunfeng Li Rui Li Shanlan Li Ye Li Zhizao likelihood limit line line integral

linear algebra linear approximation linear programming linear transformation Lobachevsky, Nikolay (Ivanovich) logarithm Möbius, August Ferdinand manifold mathematical physics mathematics mathematics, foundations of matrix maximum mean, median, and mode mean-value theorems measure theory measurement Mei Juecheng Mei Wending metric space

Minggantu minimum multiple integral Napier, John Nash, John Forbes non-Euclidean geometry normal distribution number number system number theory numerical analysis operations research optimization ordinary differential equation orthogonal polynomials orthogonality parabola parallel postulate partial derivative partial differential equation

permutations and combinations pi Platonic solid Poincaré, (Jules-) Henri polygon polyhedron polynomial prime number probability theory product rule projective geometry proof proportionality Pythagoras Pythagorean theorem Qin Jiushao quadratic equation quotient rule Ramanujan, Srinivasa (Aaiyangar) random variable

ratio rational number real number regression Riemann, (Georg Friedrich) Bernhard ring Rolle's theorem Roman numerals Seki Takakazu set set theory Shridhara Shripati simplex method slope sphere spherical coordinate system stability statistics stochastic process

sudoku surface surface integral symmetry system of equations Takebe Katahiro tangent line tensor analysis theorem topology transcendental function transcendental number transformation transitive law triangle trigonometric function trigonometry variable vector vector operations

vector space von Neumann, John Wang Xiaotong Weierstrass, Karl (Theodor Wilhelm) Xu Yue Yang Hui zero Zhao Youqin Zhu Shijie Zu Chongzhi Zu Geng