05310nam 22016815 450 991015474640332120190708092533.01-4008-8228-110.1515/9781400882281(CKB)3710000000628075(MiAaPQ)EBC4738695(DE-B1597)467964(OCoLC)979911358(DE-B1597)9781400882281(EXLCZ)99371000000062807520190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierMeromorphic Functions and Analytic Curves. (AM-12) /Hermann WeylPrinceton, NJ : Princeton University Press, [2016]©19441 online resource (285 pages) illustrationsAnnals of Mathematics Studies ;290"Lithoprinted."Based on notes of a course given in the Institute for advanced study during the first term of 1942-1943. cf. Pref.0-691-09574-4 Includes bibliographical references.Frontmatter -- PREFACE -- CONTENTS -- INTRODUCTION. EARLY HISTORY AND BIBLIOGRAPHY -- CHAPTER I. GEOMETRIC AND FUNCTION-THEORETIC FOUNDATIONS -- CHAPTER II. FIRST MAIN THEOREM FOR MEROMORPHIC CURVES -- CHAPTER III. THE SECOND MAIN THEOREM FOR MEROMORPHIC CURVES -- CHAPTER IV. FIRST AND SECOND MAIN THEOREMS FOR ANALYTIC CURVES -- CHAPTER V. THE DEFECT RELATIONS -- BackmatterThe description for this book, Meromorphic Functions and Analytic Curves. (AM-12), will be forthcoming.Annals of mathematics studies ;no. 12.FunctionsAlgebraic curve.Algebraic equation.Algebraic function.Algebraic surface.Analytic continuation.Analytic function.Arc (geometry).Argument principle.Basis (linear algebra).Bernhard Riemann.Betti number.Big O notation.Boundary value problem.C-function.C0.Characteristic function (probability theory).Circumference.Coefficient.Combination.Compact Riemann surface.Compact space.Complex analysis.Complex number.Computation.Concentric.Conformal map.Continuous function.Coordinate system.Degeneracy (mathematics).Derivative.Diameter.Differential form.Dimension.Disk (mathematics).Dual curve.Entire function.Equation.Equidistant.Euler characteristic.Existential quantification.Exponential function.Exterior (topology).Floor and ceiling functions.Fundamental theorem.Gauge factor.General position.Geometry.Harmonic function.Heine–Borel theorem.Hermann Weyl.Homogeneous coordinates.Improper integral.Integer.Interior (topology).Inverse function.Limit superior and limit inferior.Line integral.Linear differential equation.Linear map.Local parameter.Logarithm.Logarithmic derivative.Mathematics.Maximum principle.Meromorphic function.Modular form.Modular group.Moduli (physics).Monodromy theorem.Multiple integral.Natural number.Notation.Order by.Parallelepiped.Parameter.Polyad.Polynomial.Power series.Prime number.Probability.Projection (mathematics).Quantity.Rational function.Real variable.Rectangle.Residue theorem.Riemann integral.Riemann surface.Rotational symmetry.Second derivative.Simply connected space.Subset.Summation.Theorem.Theory.Topological space.Total order.Unit circle.Unit vector.Variable (mathematics).Functions.517.5Weyl Hermann, 56496DE-B1597DE-B1597BOOK9910154746403321Meromorphic Functions and Analytic Curves. (AM-12)2788782UNINA