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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 |
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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Topological Methods in the Theory of Functions of a Complex Variable. (AM-15), Volume 15 / / Marston Morse
| Topological Methods in the Theory of Functions of a Complex Variable. (AM-15), Volume 15 / / Marston Morse |
| Autore | Morse Marston |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (153 pages) : illustrations |
| Disciplina | 517.5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Functions of complex variables
Topology |
| Soggetto non controllato |
0O
0Q Absolute value Addition Additive group Admissible representation Arc (geometry) Arc length Bernhard Riemann Big O notation Boundary (topology) Boundary value problem Branch point Canonical form Cartesian coordinate system Central angle Clockwise Compact space Concentric Conformal map Continuous function Contour line Convex set Corollary Countable set Critical value Curve Deformation theory Diameter Euclidean vector Euler characteristic Existential quantification Family of curves Finitary Finite set Function (mathematics) Harmonic function Homeomorphism Homotopy Inference Integer Interior (topology) Intersection (set theory) Isolated point Jordan curve theorem Length Limit point Maxima and minima Maximal arc Meromorphic function Metric space Minimum distance Normal family Parameter Parametrization Partial derivative Picard theorem Point at infinity Polar coordinate system Polynomial Quantity Rado's theorem (Ramsey theory) Real variable Rectangle Remainder Riemann surface Rigid body Saddle point Sequence Set (mathematics) Similarity (geometry) Simply connected space Special case Subset Summation Theorem Theory Topological property Topology Unit circle Unit vector Without loss of generality |
| ISBN | 1-4008-8234-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Foreword -- Table of Contents -- Chapter I. Pseudo-Harmonic Functions -- Chapter II. Differentiable Boundary Values -- Chapter III. Interior Transformations -- Chapter IV. The General Order Theorem -- Chapter V. Deformations of Locally Simple Curves and of Interior Transformations -- References -- Glossary |
| Record Nr. | UNINA-9910154742503321 |
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Morse Marston
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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