000			01348nam a2200157Ia 4500
005			20241211205650.0
008			241211s1957 xx 000 0 und d
020			_afcnm2554
082			_a515.43I/B45
100			_aBers, Lípman.
245		0	_aRiemann Surfaces
260			_c1957
300			_a259 páginas
505			_a1.Definition of conformal structure, Riemann surface. 2.Euclidean polyhedral surfaces. 3.Isothermal coordinates. 4.Existences of solutions to the Beltrami equation. 5.Continuation of existence theorem. 6.Defining a metric tensor on an an-manifold. 7.Regular, unramified function elements. 8.Branch points of a function. 9.Functions field of a Riemann surface. 10.Puiseaux series. 11.Topology of compact Riemann surfaces. 12.Homotopy. 13.Universal covering space. 14.Harmonic functions. 15.Uniformization for simply connected surfaces; compact case. 16.Continuation of meromorphic functions. 17.Uniformization theorem; parabolic case. 18.Uniformization theorem; hyperbolic case. 19.Fuchsian groups. 20.Conformal mapping of a surface into itself. 21.Fundamental region. 22.Integration on Riemann surfaces. 23.Dirichlet principle. 24.Proof of Dirichlet principle. 25.General uniformization theorem and applications. 26.Differential (complex). 27.Riemann period matrix. 28.Divisors and the Riemann-Roch theorem.
942			_yLIB
999			_c51775 _d51775