The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 / / Hung-his Wu
| The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 / / Hung-his Wu |
| Autore | Wu Hung-his |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (252 pages) : illustrations |
| Disciplina | 517.5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Value distribution theory
Analytic functions Functions, Meromorphic |
| Soggetto non controllato |
Addition
Algebraic curve Algebraic number Atlas (topology) Binomial coefficient Cauchy–Riemann equations Compact Riemann surface Compact space Complex manifold Complex projective space Computation Continuous function (set theory) Covariant derivative Critical value Curvature form Diagram (category theory) Differential form Differential geometry of surfaces Differential geometry Dimension Divisor Essential singularity Euler characteristic Existential quantification Fiber bundle Gaussian curvature Geodesic curvature Geometry Grassmannian Harmonic function Hermann Weyl Hermitian manifold Holomorphic function Homology (mathematics) Hyperbolic manifold Hyperplane Hypersurface Improper integral Intersection number (graph theory) Isometry Line integral Manifold Meromorphic function Minimal surface Nevanlinna theory One-form Open problem Open set Orthogonal complement Parameter Picard theorem Product metric Q.E.D. Remainder Riemann sphere Riemann surface Smoothness Special case Submanifold Subset Tangent space Tangent Theorem Three-dimensional space (mathematics) Unit circle Unit vector Vector field Volume element Volume form |
| ISBN | 1-4008-8190-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- INTRODUCTION -- CONTENTS -- Chapter I. Generalities on projective spaces and Grassmannians -- Chapter II. Nevanlinna theory of meromorphic functions -- Chapter III. Elementary properties of holomorphic curves -- Chapter IV. The two main theorems for holomorphic curves -- Chapter V. The defect relations -- References -- Index of principal definitions |
| Record Nr. | UNINA-9910154750103321 |
Wu Hung-his
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Lo trovi qui: Univ. Federico II | ||
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Existence Theorems in Partial Differential Equations. (AM-23), Volume 23 / / Dorothy L. Bernstein
| Existence Theorems in Partial Differential Equations. (AM-23), Volume 23 / / Dorothy L. Bernstein |
| Autore | Bernstein Dorothy L. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (245 pages) |
| Disciplina | 517.38 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Differential equations, Partial
Existence theorems |
| Soggetto non controllato |
0O
3N Addition Analytic function Applied mathematics Big O notation Biharmonic equation Boundary value problem C0 Calculation Cartesian coordinate system Cauchy problem Characteristic equation Closed-form expression Coefficient Computation Computational problem Constructive proof Continuous function (set theory) Continuous function Convex set Coordinate system Derivative Determination Differential equation Dirichlet problem Elliptic partial differential equation Empty set Equation Existence theorem Existential quantification Explicit formulae (L-function) Exterior (topology) Finite difference Flattening Formal scheme Fourier transform Fundamental solution Geometry Green's function Harmonic function Implicit function theorem Implicit function Improper integral Initial value problem Integral equation Interval (mathematics) Laplace transform Limit of a sequence Linear combination Linear differential equation Linear equation Mathematician Method of characteristics Nonlinear system Numerical analysis Ordinary differential equation Parameter Partial derivative Partial differential equation Pessimism Plane curve Power series Probability of success Probability Pure mathematics Radius of convergence Real number Real variable Requirement Scientific notation Second derivative Series (mathematics) Simultaneous equations Special case Terminology Theorem Theory Three-dimensional space (mathematics) Truncation error Uniform convergence Upper and lower bounds Variable (mathematics) |
| ISBN | 1-4008-8222-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Foreword / Engstrom, H. T. -- Preface / Tompkins, C. -- Table of Contents -- Annals of Mathematics Studies -- I. Introduction -- II. The Initial Value Problem and the Problem of Cauchy for First Order Differential Equations -- III. Second Order Differential Equations -- IV. Partial Differential Equations of Order n > 2 -- Bibliography |
| Record Nr. | UNINA-9910154748303321 |
Bernstein Dorothy L.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Lo trovi qui: Univ. Federico II | ||
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Meromorphic Functions and Analytic Curves. (AM-12) / / Hermann Weyl
| Meromorphic Functions and Analytic Curves. (AM-12) / / Hermann Weyl |
| Autore | Weyl Hermann |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (285 pages) : illustrations |
| Disciplina | 517.5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Functions |
| Soggetto non controllato |
Algebraic 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) |
| ISBN | 1-4008-8228-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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 -- Backmatter |
| Record Nr. | UNINA-9910154746403321 |
Weyl Hermann
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Lo trovi qui: Univ. Federico II | ||
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