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3 Initial Value and BoundaryValue Problems
4 Arithmetic and Geometry
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algebraic analysis analytic functions angle approximation arbitrary basic boundary conditions calculations calculus of variations called Cauchy-Riemann conditions Cebysev circle complex numbers complex variable conformal transformations connected consider constant construct converges coordinates corresponding curves and surfaces deﬁned deﬁnition deformation denote derivative differential equations differential geometry digits direction domain electronic entire function equal to zero Euler example expression fact ﬁeld ﬁgure ﬁnd ﬁnding ﬁnite ﬁrst ﬁxed ﬂip-ﬂops ﬂow ﬂuid formula function f(x Gaussian curvature geodesic given point harmonic function inﬁnite instruction integral interpolation interval intrinsic geometry investigation Laplace equation large number length mathematical physics mathematician mean curvature memory unit meromorphic function method motion oscillations osculating plane particles polynomial position possible power series prime numbers probability problem properties quantity result satisﬁes segment sequence signiﬁcance solution solve speciﬁc string suﬂicient tangent plane theorem theory of numbers transformation trigonometric vector velocity