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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 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 | 1 testo elettronico (VIII, 494 p. : ill.) |
| 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 Residue Theorem Cauchy integral theorem Cauchy-Goursat Theorem Cauchy-Riemann Equations Complex Analysis Complex Plane Composed Mapping Conformal Mappings Contours in the Complex Plane Harmonic Functions Laplace Equations Maximum modulus principle Polar form Schwarz lemma Schwarz-Christoffel transformation Trigonometric functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00124609 |
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Asmar, Nakhlé H.
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| Cham, : Springer, 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Composition Operators : and Classical Function Theory / Joel H. Shapiro
| Composition Operators : and Classical Function Theory / Joel H. Shapiro |
| Autore | Shapiro, Joel H. |
| Pubbl/distr/stampa | New York, : Springer, 1993 |
| Descrizione fisica | xvi, 223 p. : ill. ; 24 cm |
| Soggetto non controllato |
Compactness
Complex Analysis Derivatives Differential Equations Hilbert spaces Schwarz lemma |
| ISBN | 978-03-87940-67-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00117865 |
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Shapiro, Joel H.
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| New York, : Springer, 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Composition Operators : and Classical Function Theory / Joel H. Shapiro
| Composition Operators : and Classical Function Theory / Joel H. Shapiro |
| Autore | Shapiro, Joel H. |
| Pubbl/distr/stampa | New York, : Springer, 1993 |
| Descrizione fisica | xvi, 223 p. : ill. ; 24 cm |
| Soggetto non controllato |
Compactness
Complex Analysis Derivatives Differential Equations Hilbert spaces Schwarz lemma |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00291284 |
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Shapiro, Joel H.
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| New York, : Springer, 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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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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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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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 |
32-XX - Several complex variables and analytic spaces [MSC 2020]
32A15 - Entire functions of several complex variables [MSC 2020] 32A22 - Nevanlinna theory; growth estimates; other inequalities of several complex variables [MSC 2020] |
| Soggetto non controllato |
Analytic Number Theory
Approximation Area Boundary Element Methods Complex Analysis Equations Fréchet Spaces Functions Information Lelong Number theory Presentations Schwarz lemma Variables |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | I - Entire functions of several complex variables constitute an important and original chapter in complex analysis. The study is often motivated by certain applications to specific problems in other areas of mathematics: partial differential equations via the Fourier-Laplace transformation and convolution operators, analytic number theory and problems of transcen dence, or approximation theory, just to name a few. What is important for these applications is to find solutions which satisfy certain growth conditions. The specific problem defines inherently a growth scale, and one seeks a solution of the problem which satisfies certain growth conditions on this scale, and sometimes solutions of minimal asymp totic growth or optimal solutions in some sense. For one complex variable the study of solutions with growth conditions forms the core of the classical theory of entire functions and, historically, the relationship between the number of zeros of an entire function f(z) of one complex variable and the growth of If I (or equivalently log If I) was the first example of a systematic study of growth conditions in a general setting. Problems with growth conditions on the solutions demand much more precise information than existence theorems. The correspondence between two scales of growth can be interpreted often as a correspondence between families of bounded sets in certain Frechet spaces. However, for applications it is of utmost importance to develop precise and explicit representations of the solutions. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00263767 |
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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 |
32-XX - Several complex variables and analytic spaces [MSC 2020]
32A15 - Entire functions of several complex variables [MSC 2020] 32A22 - Nevanlinna theory; growth estimates; other inequalities of several complex variables [MSC 2020] |
| Soggetto non controllato |
Analytic Number Theory
Approximation Area Boundary Element Methods Complex Analysis Equations Fréchet Spaces Functions Information Lelong Number theory Presentations Schwarz lemma Variables |
| ISBN | 978-36-427-0346-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00053702 |
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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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Handbook of Complex Variables / Steven G. Krantz
| Handbook of Complex Variables / Steven G. Krantz |
| Autore | Krantz, Steven G. |
| Pubbl/distr/stampa | New York, : Springer ; Boston, : Birkhäuser, 1999 |
| Descrizione fisica | xxiv, 290 p. : ill. ; 24 cm |
| Soggetto topico |
30-XX - Functions of a complex variable [MSC 2020]
32-XX - Several complex variables and analytic spaces [MSC 2020] 33-XX - Special functions [MSC 2020] |
| Soggetto non controllato |
Analytic Functions
Complex Analysis Gamma functions Mathematics Meromorphic Functions Monodromy Residue theorem Riemann surfaces Schwarz lemma Variables |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00299647 |
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Krantz, Steven G.
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| New York, : Springer ; Boston, : Birkhäuser, 1999 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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