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Complex Analysis and Applications / Hemant Kumar Pathak
| Complex Analysis and Applications / Hemant Kumar Pathak |
| Autore | Pathak, Hemant K. |
| Pubbl/distr/stampa | Singapore, : Springer, 2019 |
| Descrizione fisica | xxv, 928 p. : ill. ; 24 cm |
| Soggetto topico |
30-XX - Functions of a complex variable [MSC 2020]
30Bxx - Series expansions of functions of one complex variable [MSC 2020] 32Sxx - Complex singularities [MSC 2020] 32Cxx - Analytic spaces [MSC 2020] 32-XX - Several complex variables and analytic spaces [MSC 2020] 31Axx - Two-dimensional potential theory [MSC 2020] 31Bxx - Higher-dimensional potential theory [MSC 2020] 32Axx - Holomorphic functions of several complex variables [MSC 2020] 32Dxx - Analytic continuation [MSC 2020] 30Hxx - Spaces and algebras of analytic functions of one complex variable [MSC 2020] |
| Soggetto non controllato |
Analytic Continuation
Bilinear transformation Canonical product Complex numbers Conformal mappings Entire function Function Theory History of plurality of worlds Power series Riemann sphere Univalent function |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0127284 |
Pathak, Hemant K.
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| Singapore, : Springer, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Complex Analysis and Applications / Hemant Kumar Pathak
| Complex Analysis and Applications / Hemant Kumar Pathak |
| Autore | Pathak, Hemant K. |
| Pubbl/distr/stampa | Singapore, : Springer, 2019 |
| Descrizione fisica | xxv, 928 p. : ill. ; 24 cm |
| Soggetto topico |
30-XX - Functions of a complex variable [MSC 2020]
30Bxx - Series expansions of functions of one complex variable [MSC 2020] 30Hxx - Spaces and algebras of analytic functions of one complex variable [MSC 2020] 31Axx - Two-dimensional potential theory [MSC 2020] 31Bxx - Higher-dimensional potential theory [MSC 2020] 32-XX - Several complex variables and analytic spaces [MSC 2020] 32Axx - Holomorphic functions of several complex variables [MSC 2020] 32Cxx - Analytic spaces [MSC 2020] 32Dxx - Analytic continuation [MSC 2020] 32Sxx - Complex singularities [MSC 2020] |
| Soggetto non controllato |
Analytic Continuation
Bilinear transformation Canonical product Complex numbers Conformal mappings Entire function Function Theory History of plurality of worlds Power series Riemann sphere Univalent function |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00127284 |
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Pathak, Hemant K.
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| Singapore, : Springer, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / / Phillip A. Griffiths
| Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / / Phillip A. Griffiths |
| Autore | Griffiths Phillip A. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (112 pages) : illustrations |
| Disciplina | 515/.9 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Holomorphic mappings |
| Soggetto non controllato |
Algebraic variety
Analytic function Analytic set Armand Borel Big O notation Canonical bundle Cartesian coordinate system Characteristic function (probability theory) Characterization (mathematics) Chern class Compact Riemann surface Compact space Complex analysis Complex manifold Complex projective space Corollary Counting Curvature Degeneracy (mathematics) Derivative Differential form Dimension Divisor Elementary proof Entire function Equation Exponential growth Gaussian curvature Hermann Weyl Hodge theory Holomorphic function Hyperplane Hypersurface Infinite product Integral geometry Invariant measure Inverse problem Jacobian matrix and determinant Kähler manifold Line bundle Linear equation Logarithmic derivative Manifold Meromorphic function Modular form Monograph Nevanlinna theory Nonlinear system Phillip Griffiths Picard theorem Polynomial Projective space Q.E.D. Quantity Ricci curvature Riemann sphere Scientific notation Several complex variables Special case Stokes' theorem Subset Summation Theorem Theory Uniformization theorem Unit square Volume form |
| ISBN | 1-4008-8148-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INDEX OF NOTATIONS -- INTRODUCTION -- CHAPTER 1. ORDERS OF GROWTH -- CHAPTER 2. THE APPEARANCE OF CURVATURE -- CHAPTER 3. THE DEFECT RELATIONS -- BIBLIOGRAPHY -- Backmatter |
| Record Nr. | UNINA-9910154753903321 |
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Griffiths Phillip A.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / / Paulo Cordaro, François Treves
| Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / / Paulo Cordaro, François Treves |
| Autore | Cordaro Paulo |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (398 pages) |
| Disciplina | 515/.782 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Hyperfunctions
Submanifolds |
| Soggetto non controllato |
Alexander Grothendieck
Analytic function Analytic manifold Borel transform Boundary value problem Bounded function Bounded set (topological vector space) Bounded set C0 CR manifold Cauchy problem Codimension Coefficient Cohomology Compact space Complex manifold Complex number Complex space Connected space Continuous function (set theory) Continuous function Convex set Convolution Cotangent bundle Counterexample De Rham cohomology Dense set Differential operator Disjoint union Domain of a function Eigenvalues and eigenvectors Embedding Entire function Equation Equivalence class Equivalence relation Euclidean space Existential quantification Exterior algebra Exterior derivative Fiber bundle Fourier transform Function space Functional analysis Fundamental solution Harmonic function Holomorphic function Homomorphism Hyperfunction Hypersurface Infimum and supremum Integration by parts Laplace's equation Limit of a sequence Linear map Linear space (geometry) Linear subspace Locally convex topological vector space Mathematical induction Montel space Montel's theorem Morphism Neighbourhood (mathematics) Norm (mathematics) Open set Partial derivative Partial differential equation Polytope Presheaf (category theory) Pullback (category theory) Pullback Quotient space (topology) Radon measure Real structure Riemann sphere Serre duality Several complex variables Sheaf (mathematics) Sheaf cohomology Singular integral Sobolev space Special case Submanifold Subsequence Subset Summation Tangent bundle Theorem Topology of uniform convergence Topology Transitive relation Transpose Transversal (geometry) Uniform convergence Uniqueness theorem Vanish at infinity Variable (mathematics) Vector bundle Vector field Wave front set |
| ISBN | 1-4008-8256-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- 0.1 BACKGROUND ON SHEAVES OF VECTOR SPACES OVER A MANIFOLD -- 0.2 BACKGROUND ON SHEAF COHOMOLOGY -- CHAPTER I. HYPERFUNCTION S IN A MAXIMAL HYPO-ANALYTIC STRUCTURE -- CHAPTER II. MICROLOCAL THEORY OF HYPERFUNCTIONS ON A MAXIMALLY REAL SUBMANIFOLD OF COMPLEX SPACE -- CHAPTER III. HYPERFUNCTION SOLUTIONS IN A HYPO-ANALYTIC MANIFOLD -- CHAPTER IV. TRANSVERSAL SMOOTHNESS OF HYPERFUNCTION SOLUTIONS -- HISTORICAL NOTES -- BIBLIOGRAPHICAL REFERENCES -- INDEX OF TERMS |
| Record Nr. | UNINA-9910154744403321 |
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Cordaro Paulo
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Lectures on Differential Equations. (AM-14), Volume 14 / / Solomon Lefschetz
| Lectures on Differential Equations. (AM-14), Volume 14 / / Solomon Lefschetz |
| Autore | Lefschetz Solomon |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (221 pages) |
| Disciplina | 517.38 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Differential equations |
| Soggetto non controllato |
Abscissa
Absolute value Addition Adjoint Algebraic topology Antiderivative Approximation Canonical form Cartesian coordinate system Characteristic equation Characteristic exponent Circumference Coefficient matrix Coefficient Compact space Complex number Complex plane Complex-valued function Condition index Conformal map Connected space Conservation of energy Continuous function Convex hull Coordinate system Corollary Degrees of freedom (statistics) Derivative Determinant Diagram (category theory) Differentiable function Differential equation Dimension Dissipation Eigenvalues and eigenvectors Empty set Entire function Equation Euclidean geometry Euclidean space Existence theorem Existential quantification Exterior (topology) Holomorphic function Homogeneous polynomial Inflection point Initial point Integer Intersection (set theory) Jacobian matrix and determinant Jordan curve theorem Limit point Limit set Line at infinity Linear differential equation Linear map Lipschitz continuity Lyapunov stability Mathematical physics Mathematician Matrix function Maximal set Monotonic function Nonlinear system Notation Open set Parameter Parametric equation Partial derivative Periodic function Phase space Polar coordinate system Polynomial Power series Projective geometry Projective plane Quadratic Radius of convergence Rectangle Regular representation Saddle point Separatrix (mathematics) Set theory Simple polygon Solomon Lefschetz Special case Spherical cap Stereographic projection Subset Summation Theorem Theory Topological property Toroid Two-dimensional space Uniform convergence Upper and lower bounds Variable (mathematics) Vector space Zero of a function |
| ISBN | 1-4008-8194-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- TABLE OF CONTENTS -- CHAPTER I. SOME PRELIMINARY QUESTIONS -- CHAPTER II. DIFFERENTIAL EQUATIONS -- CHAPTER III. LINEAR SYSTEMS -- CHAPTER IV. CRITICAL POINTS AND PERIODIC MOTIONS QUESTIONS OF STABILITY -- CHAPTER V. TWO DIMENSIONAL SYSTEMS -- CHAPTER VI. APPLICATION TO CERTAIN EQUATIONS' OF THE SECOND ORDER -- INDEX |
| Record Nr. | UNINA-9910154749803321 |
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Lefschetz Solomon
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| 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 |
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Weyl Hermann
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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