Mathematics: Queen and Servant of Science |
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abstract abstract algebra algebraic integers algebraic number field algebraic numbers analysis analytic analytic geometry angle applied arithmetic automorphism C₁ calculating called Chapter commutative complex numbers coordinates corresponding cosets curve D. H. Lehmer defined definition Descartes described differential dimensions distance divisor Einstein elementary equal equations Euclid's example Fermat's field finite number formula functions Galois Galois theory Gauss geometry given ideal infinite infinity intersection intuition invariant irreducible polynomial Leibniz logic manifold mathe mathematical analysis mathematicians mathematics matics matrix Mersenne Mersenne prime modern motion multiplication Newton's Newtonian nineteenth operations physical plane polynomial postulates prediction prime problem projective geometry proof proved Pythagoras Pythagorean theorem quaternions rational numbers reader real numbers reasoning ring scientific sense simple space straight line subgroup sufficient surface symbols theorem theory of numbers things tion topology transformations twentieth century unique unity element variable vector velocity zero