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Complex Analysis with Applications / Nakhlé H. Asmar, Loukas Grafakos
| Complex Analysis with Applications / Nakhlé H. Asmar, Loukas Grafakos |
| Autore | Asmar, Nakhlé H. |
| Pubbl/distr/stampa | Cham, : Springer, 2018 |
| Descrizione fisica | viii, 494 p. : ill. ; 24 cm |
| Altri autori (Persone) | Grafakos, Loukas |
| Soggetto topico |
97-XX - Mathematics education [MSC 2020]
97I80 - Complex analysis (educational aspects) [MSC 2020] |
| Soggetto non controllato |
Applications complex analysis
Cauchy integral theorem Cauchy residue theorem Cauchy-Goursat theorem Cauchy-Riemann equations Complex analysis textbook adoption Complex plane Composed mapping Conformal mappings Contours in the complex plane Harmonic Functions Laplace equation Maximum modulus principle Polar form Schwarz lemma Schwarz-Christoffel transformation Trigonometric functions Undergraduate text complex analysis |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0124609 |
Asmar, Nakhlé H.
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| Cham, : Springer, 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Complex Dynamics and Renormalization (AM-135), Volume 135 / / Curtis T. McMullen
| Complex Dynamics and Renormalization (AM-135), Volume 135 / / Curtis T. McMullen |
| Autore | McMullen Curtis T. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (229 pages) : illustrations |
| Disciplina | 530.1/43/0151 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Renormalization (Physics)
Polynomials Dynamics Mathematical physics |
| Soggetto non controllato |
Analytic function
Attractor Automorphism Bernhard Riemann Bounded set Branched covering Cantor set Cardioid Chain rule Coefficient Combinatorics Complex manifold Complex plane Complex torus Conformal geometry Conformal map Conjecture Connected space Covering space Cyclic group Degeneracy (mathematics) Dense set Diagram (category theory) Diameter Differential geometry of surfaces Dihedral group Dimension (vector space) Dimension Disjoint sets Disk (mathematics) Dynamical system Endomorphism Equivalence class Equivalence relation Ergodic theory Euler characteristic Filled Julia set Geometric function theory Geometry Hausdorff dimension Holomorphic function Homeomorphism Homology (mathematics) Hyperbolic geometry Implicit function theorem Injective function Integer matrix Interval (mathematics) Inverse limit Julia set Kleinian group Limit point Limit set Linear map Mandelbrot set Manifold Markov partition Mathematical induction Maxima and minima Measure (mathematics) Moduli (physics) Monic polynomial Montel's theorem Möbius transformation Natural number Open set Orbifold Periodic point Permutation Point at infinity Pole (complex analysis) Polynomial Proper map Quadratic differential Quadratic function Quadratic Quasi-isometry Quasiconformal mapping Quotient space (topology) Removable singularity Renormalization Riemann mapping theorem Riemann sphere Riemann surface Rigidity theory (physics) Scalar (physics) Schwarz lemma Scientific notation Special case Structural stability Subgroup Subsequence Symbolic dynamics Tangent space Theorem Uniformization theorem Uniformization Union (set theory) Unit disk Upper and lower bounds |
| ISBN | 1-4008-8255-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Chapter 1. Introduction -- Chapter 2. Background in conformal geometry -- Chapter 3. Dynamics of rational maps -- Chapter 4. Holomorphic motions and the Mandelbrot set -- Chapter 5. Compactness in holomorphic dynamics -- Chapter 6. Polynomials and external rays -- Chapter 7. Renormalization -- Chapter 8. Puzzles and infinite renormalization -- Chapter 9. Robustness -- Chapter 10. Limits of renormalization -- Chapter 11. Real quadratic polynomials -- Appendix A. Orbifolds -- Appendix B. A closing lemma for rational maps -- Bibliography -- Index |
| Record Nr. | UNINA-9910154745403321 |
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McMullen Curtis T.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Dynamics in one complex variable [[electronic resource] /] / by John Milnor
| Dynamics in one complex variable [[electronic resource] /] / by John Milnor |
| Autore | Milnor John W (John Willard), <1931-> |
| Edizione | [3rd ed.] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2006 |
| Descrizione fisica | 1 online resource (313 p.) |
| Disciplina |
515.93
515/.93 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Functions of complex variables
Holomorphic mappings Riemann surfaces |
| Soggetto non controllato |
Absolute value
Addition Algebraic equation Attractor Automorphism Beltrami equation Blaschke product Boundary (topology) Branched covering Coefficient Compact Riemann surface Compact space Complex analysis Complex number Complex plane Computation Connected component (graph theory) Connected space Constant function Continued fraction Continuous function Coordinate system Corollary Covering space Cross-ratio Derivative Diagram (category theory) Diameter Diffeomorphism Differentiable manifold Disjoint sets Disjoint union Disk (mathematics) Division by zero Equation Euler characteristic Existential quantification Exponential map (Lie theory) Fundamental group Harmonic function Holomorphic function Homeomorphism Hyperbolic geometry Inequality (mathematics) Integer Inverse function Irrational rotation Iteration Jordan curve theorem Julia set Lebesgue measure Lecture Limit point Line segment Linear map Linearization Mandelbrot set Mathematical analysis Maximum modulus principle Metric space Monotonic function Montel's theorem Normal family Open set Orbifold Parameter space Parameter Periodic point Point at infinity Polynomial Power series Proper map Quadratic function Rational approximation Rational function Rational number Real number Riemann sphere Riemann surface Root of unity Rotation number Schwarz lemma Scientific notation Sequence Simply connected space Special case Subgroup Subsequence Subset Summation Tangent space Theorem Topological space Topology Uniform convergence Uniformization theorem Unit circle Unit disk Upper half-plane Winding number |
| ISBN |
1-283-00148-9
9786613001481 1-4008-3553-4 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Table Of Contents -- List of Figures -- Preface to the Third Edition -- Chronological Table -- Riemann Surfaces -- Iterated Holomorphic Maps -- Local Fixed Point Theory -- Periodic Points: Global Theory -- Structure of the Fatou Set -- Using the Fatou Set to Study the Julia Set -- Appendix A. Theorems from Classical Analysis -- Appendix B. Length-Area-Modulus Inequalities -- Appendix C. Rotations, Continued Fractions, and Rational Approximation -- Appendix D. Two or More Complex Variables -- Appendix E. Branched Coverings and Orbifolds -- Appendix F. No Wandering Fatou Components -- Appendix G. Parameter Spaces -- Appendix H. Computer Graphics and Effective Computation -- References -- Index |
| Record Nr. | UNINA-9910791879203321 |
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Milnor John W (John Willard), <1931->
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| Princeton, N.J., : Princeton University Press, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Dynamics in one complex variable [[electronic resource] /] / by John Milnor
| Dynamics in one complex variable [[electronic resource] /] / by John Milnor |
| Autore | Milnor John W (John Willard), <1931-> |
| Edizione | [3rd ed.] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2006 |
| Descrizione fisica | 1 online resource (313 p.) |
| Disciplina |
515.93
515/.93 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Functions of complex variables
Holomorphic mappings Riemann surfaces |
| Soggetto non controllato |
Absolute value
Addition Algebraic equation Attractor Automorphism Beltrami equation Blaschke product Boundary (topology) Branched covering Coefficient Compact Riemann surface Compact space Complex analysis Complex number Complex plane Computation Connected component (graph theory) Connected space Constant function Continued fraction Continuous function Coordinate system Corollary Covering space Cross-ratio Derivative Diagram (category theory) Diameter Diffeomorphism Differentiable manifold Disjoint sets Disjoint union Disk (mathematics) Division by zero Equation Euler characteristic Existential quantification Exponential map (Lie theory) Fundamental group Harmonic function Holomorphic function Homeomorphism Hyperbolic geometry Inequality (mathematics) Integer Inverse function Irrational rotation Iteration Jordan curve theorem Julia set Lebesgue measure Lecture Limit point Line segment Linear map Linearization Mandelbrot set Mathematical analysis Maximum modulus principle Metric space Monotonic function Montel's theorem Normal family Open set Orbifold Parameter space Parameter Periodic point Point at infinity Polynomial Power series Proper map Quadratic function Rational approximation Rational function Rational number Real number Riemann sphere Riemann surface Root of unity Rotation number Schwarz lemma Scientific notation Sequence Simply connected space Special case Subgroup Subsequence Subset Summation Tangent space Theorem Topological space Topology Uniform convergence Uniformization theorem Unit circle Unit disk Upper half-plane Winding number |
| ISBN |
1-283-00148-9
9786613001481 1-4008-3553-4 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Table Of Contents -- List of Figures -- Preface to the Third Edition -- Chronological Table -- Riemann Surfaces -- Iterated Holomorphic Maps -- Local Fixed Point Theory -- Periodic Points: Global Theory -- Structure of the Fatou Set -- Using the Fatou Set to Study the Julia Set -- Appendix A. Theorems from Classical Analysis -- Appendix B. Length-Area-Modulus Inequalities -- Appendix C. Rotations, Continued Fractions, and Rational Approximation -- Appendix D. Two or More Complex Variables -- Appendix E. Branched Coverings and Orbifolds -- Appendix F. No Wandering Fatou Components -- Appendix G. Parameter Spaces -- Appendix H. Computer Graphics and Effective Computation -- References -- Index |
| Record Nr. | UNINA-9910812639703321 |
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Milnor John W (John Willard), <1931->
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| Princeton, N.J., : Princeton University Press, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Entire functions of several complex variables / Pierre Lelong, Lawrence Gruman
| Entire functions of several complex variables / Pierre Lelong, Lawrence Gruman |
| Autore | Lelong, Pierre |
| Pubbl/distr/stampa | Berlin, : Springer, 1986 |
| Descrizione fisica | XI, 270 p. ; 24 cm |
| Altri autori (Persone) | Gruman, Lawrence |
| Soggetto topico |
32A22 - Nevanlinna theory; growth estimates; other inequalities of several complex variables [MSC 2020]
32A15 - Entire functions of several complex variables [MSC 2020] 32-XX - Several complex variables and analytic spaces [MSC 2020] |
| Soggetto non controllato |
Analytic Number Theory
Approximation Area Boundary Element Methods Complex Analysis Equations Fréchet Spaces Functions Information Lelong Number theory Presentation Schwarz lemma Variables |
| ISBN | 978-36-427-0346-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0053702 |
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Lelong, Pierre
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| Berlin, : Springer, 1986 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Entire functions of several complex variables / Pierre Lelong, Lawrence Gruman
| Entire functions of several complex variables / Pierre Lelong, Lawrence Gruman |
| Autore | Lelong, Pierre |
| Pubbl/distr/stampa | Berlin, : Springer, 1986 |
| Descrizione fisica | XI, 270 p. ; 24 cm |
| Altri autori (Persone) | Gruman, Lawrence |
| Soggetto topico |
32A22 - Nevanlinna theory; growth estimates; other inequalities of several complex variables [MSC 2020]
32A15 - Entire functions of several complex variables [MSC 2020] 32-XX - Several complex variables and analytic spaces [MSC 2020] |
| Soggetto non controllato |
Analytic Number Theory
Approximation Area Boundary Element Methods Complex Analysis Equations Fréchet Spaces Functions Information Lelong Number theory Presentation Schwarz lemma Variables |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0263767 |
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Lelong, Pierre
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| Berlin, : Springer, 1986 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen
| Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen |
| Autore | McMullen Curtis T. |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
| Descrizione fisica | 1 online resource (264 p.) |
| Disciplina | 514/.3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Three-manifolds (Topology)
Differentiable dynamical systems |
| Soggetto non controllato |
Algebraic topology
Analytic continuation Automorphism Beltrami equation Bifurcation theory Boundary (topology) Cantor set Circular symmetry Combinatorics Compact space Complex conjugate Complex manifold Complex number Complex plane Conformal geometry Conformal map Conjugacy class Convex hull Covering space Deformation theory Degeneracy (mathematics) Dimension (vector space) Disk (mathematics) Dynamical system Eigenvalues and eigenvectors Factorization Fiber bundle Fuchsian group Fundamental domain Fundamental group Fundamental solution G-module Geodesic Geometry Harmonic analysis Hausdorff dimension Homeomorphism Homotopy Hyperbolic 3-manifold Hyperbolic geometry Hyperbolic manifold Hyperbolic space Hypersurface Infimum and supremum Injective function Intersection (set theory) Invariant subspace Isometry Julia set Kleinian group Laplace's equation Lebesgue measure Lie algebra Limit point Limit set Linear map Mandelbrot set Manifold Mapping class group Measure (mathematics) Moduli (physics) Moduli space Modulus of continuity Möbius transformation N-sphere Newton's method Permutation Point at infinity Polynomial Quadratic function Quasi-isometry Quasiconformal mapping Quasisymmetric function Quotient space (topology) Radon–Nikodym theorem Renormalization Representation of a Lie group Representation theory Riemann sphere Riemann surface Riemannian manifold Schwarz lemma Simply connected space Special case Submanifold Subsequence Support (mathematics) Tangent space Teichmüller space Theorem Topology of uniform convergence Topology Trace (linear algebra) Transversal (geometry) Transversality (mathematics) Triangle inequality Unit disk Unit sphere Upper and lower bounds Vector field |
| ISBN |
0-691-01154-0
1-4008-6517-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1 Introduction -- 2 Rigidity of hyperbolic manifolds -- 3 Three-manifolds which fiber over the circle -- 4 Quadratic maps and renormalization -- 5 Towers -- 6 Rigidity of towers -- 7 Fixed points of renormalization -- 8 Asymptotic structure in the Julia set -- 9 Geometric limits in dynamics -- 10 Conclusion -- Appendix A. Quasiconformal maps and flows -- Appendix B Visual extension -- Bibliography -- Index |
| Record Nr. | UNINA-9910786510603321 |
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McMullen Curtis T.
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| Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen
| Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen |
| Autore | McMullen Curtis T. |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 1996 |
| Descrizione fisica | 1 online resource (264 p.) |
| Disciplina | 514/.3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Three-manifolds (Topology)
Differentiable dynamical systems |
| Soggetto non controllato |
Algebraic topology
Analytic continuation Automorphism Beltrami equation Bifurcation theory Boundary (topology) Cantor set Circular symmetry Combinatorics Compact space Complex conjugate Complex manifold Complex number Complex plane Conformal geometry Conformal map Conjugacy class Convex hull Covering space Deformation theory Degeneracy (mathematics) Dimension (vector space) Disk (mathematics) Dynamical system Eigenvalues and eigenvectors Factorization Fiber bundle Fuchsian group Fundamental domain Fundamental group Fundamental solution G-module Geodesic Geometry Harmonic analysis Hausdorff dimension Homeomorphism Homotopy Hyperbolic 3-manifold Hyperbolic geometry Hyperbolic manifold Hyperbolic space Hypersurface Infimum and supremum Injective function Intersection (set theory) Invariant subspace Isometry Julia set Kleinian group Laplace's equation Lebesgue measure Lie algebra Limit point Limit set Linear map Mandelbrot set Manifold Mapping class group Measure (mathematics) Moduli (physics) Moduli space Modulus of continuity Möbius transformation N-sphere Newton's method Permutation Point at infinity Polynomial Quadratic function Quasi-isometry Quasiconformal mapping Quasisymmetric function Quotient space (topology) Radon–Nikodym theorem Renormalization Representation of a Lie group Representation theory Riemann sphere Riemann surface Riemannian manifold Schwarz lemma Simply connected space Special case Submanifold Subsequence Support (mathematics) Tangent space Teichmüller space Theorem Topology of uniform convergence Topology Trace (linear algebra) Transversal (geometry) Transversality (mathematics) Triangle inequality Unit disk Unit sphere Upper and lower bounds Vector field |
| ISBN |
0-691-01154-0
1-4008-6517-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1 Introduction -- 2 Rigidity of hyperbolic manifolds -- 3 Three-manifolds which fiber over the circle -- 4 Quadratic maps and renormalization -- 5 Towers -- 6 Rigidity of towers -- 7 Fixed points of renormalization -- 8 Asymptotic structure in the Julia set -- 9 Geometric limits in dynamics -- 10 Conclusion -- Appendix A. Quasiconformal maps and flows -- Appendix B Visual extension -- Bibliography -- Index |
| Record Nr. | UNINA-9910816804803321 |
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McMullen Curtis T.
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| Princeton, New Jersey : , : Princeton University Press, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Several Complex Variables : Proceedings of the 1981 Hangzhou Conference / J. J. Kohn, ... [et al.] editors
| Several Complex Variables : Proceedings of the 1981 Hangzhou Conference / J. J. Kohn, ... [et al.] editors |
| Pubbl/distr/stampa | Boston, : Birkhäuser, 1984 |
| Descrizione fisica | xiv, 268 p. : ill. ; 24 cm |
| Soggetto topico |
14-XX - Algebraic geometry [MSC 2020]
00Bxx - Conference proceedings and collections of articles [MSC 2020] 32-XX - Several complex variables and analytic spaces [MSC 2020] |
| Soggetto non controllato |
Algebraic varieties
Bounded mean oscillation Complex Analysis Convexity Differential equations Pseudoconvexity Riemann-Roch Theorem Schwarz lemma Singular integrals Smooth functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0253857 |
| Boston, : Birkhäuser, 1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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