## Encyclopedic Dictionary of Mathematics, Volume 1 |

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### Common terms and phrases

Abelian group Abelian variety affine algebraic group algebraic number algebraic number field algebraic variety Amer analytic function analytic set automorphism axiom Banach space boundary called coefficients cohomology compact complex numbers computers condition connected continuous convergence convex coordinate corresponding curve defined degree denoted differentiable manifold differential equations differential form dimension dimensional distribution divisor domain element elliptic equivalent ergodic Euclidean exists extension fiber bundle finite number formula Fourier func Galois geometry given group G Hilbert holomorphic holomorphic function integral invariant irreducible isomorphic Iwanami Japanese Lie group linear space manifold mapping Math mathematics matrix measure method metric morphism neighborhood number field obtained open set orthogonal plane polynomial problem projective properties real numbers representation respect Riemann ring satisfies sequence singular solution Springer subgroup subset subspace surface tangent tensor theorem theory tion topological space transformation unique Univ variables vector field zero