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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
McMullen Curtis T.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
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Contributions to the Theory of Games (AM-24), Volume I / / Albert William Tucker, Harold William Kuhn
Contributions to the Theory of Games (AM-24), Volume I / / Albert William Tucker, Harold William Kuhn
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (221 pages) : illustrations
Disciplina 519.3
Collana Annals of Mathematics Studies
Soggetto topico Game theory
Soggetto non controllato Affine space
Almost surely
Banach space
Basic solution (linear programming)
Bilinear form
Boundary (topology)
Bounded variation
Calculation
Characteristic function (probability theory)
Characterization (mathematics)
Coefficient
Combination
Completeness of the real numbers
Computation
Computational problem
Connected space
Continuous function (set theory)
Continuous function
Continuous game
Convex combination
Convex set
Counterexample
Diagram (category theory)
Dimension (vector space)
Dimension
Dimensional analysis
Elementary proof
Equation solving
Equilibrium point
Euclidean space
Existential quantification
Exterior (topology)
Extreme point
Facet (geometry)
Fubini's theorem
Function (mathematics)
Function space
Fundamental theorem
Geometry
Helly's theorem
Hyperplane
Identity matrix
Inequality (mathematics)
Infimum and supremum
Interior (topology)
Invertible matrix
Iterative method
Limit of a sequence
Limit point
Linear inequality
Linear map
Linear programming
Mathematical analysis
Mathematical optimization
Mathematics
Matrix (mathematics)
Maxima and minima
Maximal set
Measure (mathematics)
Minimax theorem
Mutual exclusivity
NSPACE
Orthogonal basis
Orthogonal matrix
Orthogonal polynomials
Partially ordered set
Permutation
Polyhedron
Polynomial
Probability distribution
Probability
Proportionality (mathematics)
Rational number
Riemann–Stieltjes integral
Scientific notation
Set (mathematics)
Set theory
Sign (mathematics)
Skew-symmetric matrix
Solution concept
Special case
Strategy (game theory)
Subsequence
Subset
Summation
Symmetrization
Theorem
Theory of Games and Economic Behavior
Theory
Topology
Transfinite number
Transfinite
Unit interval
Unit sphere
Unit vector
Vandermonde matrix
Variable (mathematics)
Vector space
Weak convergence (Hilbert space)
Weyl's theorem
ISBN 1-4008-8172-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- PART I. FINITE GAMES -- 1. THE ELEMENTARY THEORY OF CONVEX POLYHEDRA -- 2. ELEMENTARY PROOF OF A MINIMAX THEOREM DUE TO VON NEUMANN -- 3. BASIC SOLUTIONS OF DISCRETE GAMES / Shapley, L. S. / Snow, R. N. -- 4. SOLUTIONS OF FINITE TWO-PERSON GAMES / Gale, D. / Sherman, S. -- 5. SOLUTIONS OF DISCRETE, TWO-PERSON GAMES / Bohnenblust, H. F. / Karlin, S. -- 6. SOLUTIONS OF GAMES BY DIFFERENTIAL EQUATIONS / Brown, G. W. / Neumann, J. von -- 7. ON SYMMETRIC GAMES / Gale, D. / Kuhn, H. W. / Tucker, A. W. -- 8. REDUCTIONS OP GAME MATRICES / Gale, D. / Kuhn, H. W. / Tucker, A. W. -- 9. A SIMPLIFIED TWO-PERSON POKER / Kuhn, H. W. -- 10. A SIMPLE THREE-PERSON POKER GAME / Nash, J. F. / Shapley, L. S. -- 11. ISOMORPHISM OF GAMES, AND STRATEGIC EQUIVALENCE / McKinsey, J. C. C. -- PART II. INFINITE GAMES -- 12. OPERATOR TREATMENT OF MINMAX PRINCIPLE / Karlin, Samuel -- 13. ON A THEOREM OF VILLE / Bohnenblust, H. F. / Karlin, S. -- 14. POLYNOMIAL GAMES / Dresher, M. / Karlin, S. / Shapley, L. S. -- 15. GAMES WITH CONTINUOUS, CONVEX PAY-OFF / Bohnenblust, H. F. / Karlin, S. / Shapley, L. S. -- BIBLIOGRAPHY
Record Nr. UNINA-9910154754103321
Princeton, NJ : , : Princeton University Press, , [2016]
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Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III / / Solomon Lefschetz
Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III / / Solomon Lefschetz
Autore Lefschetz Solomon
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (300 pages) : illustrations
Disciplina 531.3
Collana Annals of Mathematics Studies
Soggetto topico Oscillations
Soggetto non controllato Addition
Almost periodic function
Analytic function
Analytic manifold
Asymptote
Asymptotic analysis
Banach space
Basis (linear algebra)
Betti number
Big O notation
Boundary (topology)
Boundary value problem
Boundedness
Calculation
Cartesian coordinate system
Characteristic equation
Characteristic exponent
Coefficient matrix
Coefficient
Combination
Complex number
Complex space
Connected space
Continuous function
Counterexample
Curve
Degeneracy (mathematics)
Degrees of freedom (statistics)
Derivative
Determinant
Differentiable function
Differential equation
Dissipative system
Eigenvalues and eigenvectors
Equation
Existence theorem
Existential quantification
Exterior (topology)
First variation
Fixed-point theorem
Fundamental theorem
Geometry
Half-space (geometry)
Homeomorphism
Homotopy
Hyperbolic sector
Identity matrix
Imaginary number
Implicit function
Infimum and supremum
Integral curve
Interior (topology)
Intersection (set theory)
Interval (mathematics)
Invertible matrix
Jacobian matrix and determinant
Jordan curve theorem
Limit cycle
Limit point
Limit set
Line at infinity
Linear approximation
Linear differential equation
Linear equation
Linear map
Lipschitz continuity
Matrix (mathematics)
Monotonic function
N-vector
Nonlinear system
Ordinary differential equation
Parameter
Parametric equation
Parametrization
Partial derivative
Periodic function
Phase plane
Phase space
Point at infinity
Polynomial
Projective plane
Quantity
Saddle point
Scientific notation
Second derivative
Separatrix (mathematics)
Sign (mathematics)
Simultaneous equations
Singular perturbation
Special case
Submanifold
Summation
Tangent
Taylor series
Theorem
Theory
Topology
Vector field
Velocity
Zero of a function
ISBN 1-4008-8217-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- I. A ROTATED VECTOR APPROACH TO THE PROBLEM OP STABILITY OP SOLUTIONS OF PENDULUM-TYPE EQUATIONS / Seifert, George -- II. ASYMPTOTICALLY AUTONOMOUS DIFFERENTIAL SYSTEMS / Markus, L. -- III. NONLINEAR DIFFERENTIAL EQUATIONS SYSTEMS / Pinney, Edmund -- IV. ON A NON-LINEAR DIFFERENTIAL EQUATION CONTAINING A SMALL PARAMETER / Haas, Violet B. -- V. CRITICAL POINTS AT INFINITY AND FORCED OSCILLATION / Gomory, Ralph E. -- VI. ON CERTAIN CRITICAL POINTS OF A DIFFERENTIAL SYSTEM IN THE PLANE / Barocio, Samuel -- VII. ON THE TOTAL NUMBER OF SINGULAR POINTS AND LIMIT CYCLES OF A DIFFERENTIAL EQUATION / Haas, Felix -- VIII. BANACH SPACES AND THE PERTURBATION OF ORDINARY DIFFERENTIAL EQUATIONS / Hufford, George -- IX. A FIXED POINT THEOREM / Kyner, Walter T. -- X. PERTURBATION THEOREMS FOR NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS / Diliberto, S. P. / Hufford, G. -- XI. A NOTE ON THE EXISTENCE OF PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS / Diliberto, S. P. / Marcus, M. D. -- XII. AN INVARIANT SURFACE THEOREM FOR A NON-DEGENERATE SYSTEM / Marcus, Marvin D. -- XIII. AN APPLICATION OP PERIODIC SURFACES (SOLUTION OF A SMALL DIVISOR PROBLEM) / Diliberto, Stephen P. -- XIV. REPEATING SOLUTIONS FOR A DEGENERATE SYSTEM / Marcus, Marvin D. -- XV. BOUNDS FOR PERIODS OF PERIODIC SOLUTIONS / Diliberto, Stephen P. -- XVI. ONE-DIMENSIONAL REPEATING CURVES IN THE NON-DEGENERATE CASE / Koosis, Paul -- Backmatter
Record Nr. UNINA-9910154750203321
Lefschetz Solomon  
Princeton, NJ : , : Princeton University Press, , [2016]
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Contributions to the Theory of Nonlinear Oscillations (AM-45), Volume V / / Lamberto Cesari, Solomon Lefschetz, J. LaSalle
Contributions to the Theory of Nonlinear Oscillations (AM-45), Volume V / / Lamberto Cesari, Solomon Lefschetz, J. LaSalle
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (300 pages) : illustrations
Disciplina 531/.32
Collana Annals of Mathematics Studies
Soggetto topico Oscillations
Soggetto non controllato Absolute value
Abstract algebra
Affine plane
Affine space
Algebraic Method
Analytic function
Bifurcation theory
Big O notation
Canonical form
Cartesian coordinate system
Cauchy sequence
Characteristic exponent
Characteristic polynomial
Clockwise
Coefficient matrix
Coefficient
Complete theory
Complex conjugate
Complex number
Complex plane
Computation
Connected space
Continuous function
Control function (econometrics)
Convex set
Corollary
Critical frequency
Curve
Degeneracy (mathematics)
Degrees of freedom (statistics)
Determinant
Differentiable function
Differentiable manifold
Differential equation
Dimension
Dimensional analysis
Divisor (algebraic geometry)
Eigenvalues and eigenvectors
Elliptic function
Endomorphism
Equation
Equations of motion
Existence theorem
Existential quantification
Fixed point (mathematics)
Floquet theory
Homeomorphism
Homogeneous function
Homotopy
Hyperplane
Hypersurface
Implicit function theorem
Interval (mathematics)
Limit cycle
Limit point
Line element
Linear algebra
Linear differential equation
Linear map
Linear space (geometry)
Linearity
Lipschitz continuity
Lyapunov stability
Manifold
Matrix function
Maxima and minima
Morphism
N-vector
Non-associative algebra
Nonlinear system
Optimal control
Orbital stability
Parameter
Parametrization
Periodic function
Piecewise
Probability
Quadratic differential
Quadratic function
Quadratic
Real projective plane
Real projective space
Scientific notation
Second derivative
Semicircle
Separatrix (mathematics)
Sign (mathematics)
Special case
Submanifold
Summation
Theorem
Theory
Topological dynamics
Topological space
Transpose
Two-dimensional space
Uniform convergence
Uniqueness theorem
Vector space
Zero of a function
ISBN 1-4008-8264-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface -- Contents -- I. The Time Optimal Control Problem / La Salle, J. P. -- II. Continuous Dependence on a Parameter / Jarnik, J. / Kurzweil, J. -- III. Poincare's Perturbation Method and Topological Degree / Cronin, Jane -- IV. On the Behavior of the Solutions of Linear Periodic Differential Systems Near Resonance Points / Hale, Jack K. -- V. On the Stability of Periodic Solutions of Weakly Nonlinear Periodic and Autonomous Differential Systems / Hale, J. K. -- VI. Existence Theorems for Periodic Solutions of Nonlinear Lipschitzian Differential Systems and Fixed Point Theorems / Cesari, Lamberto -- VII. The Applications of a Fixed Point Theorem to a Variety of Non-Linear Stability Problems / Stokes, Arnold -- VIII. Quadratic Differential Equations and Non-Associative Algebras / Markus, Lawrence -- IX. Sur Une Propriété De L'Ensemble Des Thajectoires Bornées De Certains Systèmes Dynamiques / Reeb, Georges -- X. On Lagrange Stable Motions in the Neighborhood of Critical Points / Mendelson, Pinchas -- XI. The Local Theory of Piecewise Continuous Differential Equations / André, J. / Seibert, P. -- XII. Asymptotic Stability in 3-Space / Coleman, Courtney -- XIII. Existence and Uniqueness of the Periodic Solution of an Equation for Autonomous Oscillations / Figueiredo, Rui Pacheco de -- Appendix / Pinney, E.
Record Nr. UNINA-9910154745003321
Princeton, NJ : , : Princeton University Press, , [2016]
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Degree of Approximation by Polynomials in the Complex Domain. (AM-9), Volume 9 / / Walter Edwin Sewell
Degree of Approximation by Polynomials in the Complex Domain. (AM-9), Volume 9 / / Walter Edwin Sewell
Autore Sewell Walter Edwin
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (252 pages)
Disciplina 512.22
Collana Annals of Mathematics Studies
Soggetto topico Approximation theory
Polynomials
Soggetto non controllato 0B
Addition
Antiderivative
Approximation
Arbitrarily large
Arc (geometry)
Arc length
Big O notation
Bijection
Bounded set (topological vector space)
Branch point
Circumference
Coefficient
Complex analysis
Complex number
Conformal map
Connected space
Constant of integration
Continuous function
Covering space
Derivative
Difference "ient
Differentiable function
Dimension
Elementary proof
Equation
Even and odd functions
Existence theorem
Existential quantification
Exterior (topology)
Floor and ceiling functions
Fourier series
Function of a real variable
Geometry
Green's function
Harmonic function
Harmonic polynomial
Infimum and supremum
Infinitesimal
Integer
Isolated point
Isolated singularity
Iterative method
Jordan curve theorem
Least squares
Lebesgue integration
Lemniscate
Limit (mathematics)
Line integral
Line segment
Lipschitz continuity
Logarithm
Mathematician
Modulus of continuity
Natural number
Notation
Open problem
Orthogonal polynomials
Partial derivative
Periodic function
Point at infinity
Polynomial
Rational function
Real variable
Rectangle
Requirement
Riemann sum
Root of unity
Second derivative
Set theory
Sign (mathematics)
Simply connected space
Special case
Suggestion
Summation
Surface integral
Taylor series
Theorem
Theory
Trigonometric functions
Trigonometry
Uniform convergence
Unit circle
Upper and lower bounds
Variable (mathematics)
Weight function
ISBN 1-4008-8221-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface -- Contents -- Chapter I. Preliminaries -- Part I. Problem α -- Chapter II. Polynomial Inequalities -- Chapter III. Tchebycheff Approximation -- Chapter IV. Approximation Measured by a Line Integral -- Part II. Problem β -- Chapter V. Preliminaries -- Chapter VI. Tchebycheff Approximation -- Chapter VII. Approximation Measured by a Line Integral -- Chapter VIII. Special Configurations -- Bibliography
Record Nr. UNINA-9910154748503321
Sewell Walter Edwin  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
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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->  
Princeton, N.J., : Princeton University Press, 2006
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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
Milnor John W (John Willard), <1931->  
Princeton, N.J., : Princeton University Press, 2006
Materiale a stampa
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Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 / / Eric M. Friedlander
Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 / / Eric M. Friedlander
Autore Friedlander Eric M.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (193 pages)
Disciplina 514/.24
Collana Annals of Mathematics Studies
Soggetto topico Homotopy theory
Schemes (Algebraic geometry)
Homology theory
Soggetto non controllato Abelian group
Adams operation
Adjoint functors
Alexander Grothendieck
Algebraic K-theory
Algebraic closure
Algebraic geometry
Algebraic group
Algebraic number theory
Algebraic structure
Algebraic topology (object)
Algebraic topology
Algebraic variety
Algebraically closed field
Automorphism
Base change
Cap product
Cartesian product
Closed immersion
Codimension
Coefficient
Cohomology
Comparison theorem
Complex number
Complex vector bundle
Connected component (graph theory)
Connected space
Coprime integers
Corollary
Covering space
Derived functor
Dimension (vector space)
Disjoint union
Embedding
Existence theorem
Ext functor
Exterior algebra
Fiber bundle
Fibration
Finite field
Finite group
Free group
Functor
Fundamental group
Galois cohomology
Galois extension
Geometry
Grothendieck topology
Homogeneous space
Homological algebra
Homology (mathematics)
Homomorphism
Homotopy category
Homotopy group
Homotopy
Integral domain
Intersection (set theory)
Inverse limit
Inverse system
K-theory
Leray spectral sequence
Lie group
Local ring
Mapping cylinder
Natural number
Natural transformation
Neighbourhood (mathematics)
Newton polynomial
Noetherian ring
Open set
Opposite category
Pointed set
Presheaf (category theory)
Reductive group
Regular local ring
Relative homology
Residue field
Riemann surface
Root of unity
Serre spectral sequence
Shape theory (mathematics)
Sheaf (mathematics)
Sheaf cohomology
Sheaf of spectra
Simplex
Simplicial set
Special case
Spectral sequence
Surjective function
Theorem
Topological K-theory
Topological space
Topology
Tubular neighborhood
Vector bundle
Weak equivalence (homotopy theory)
Weil conjectures
Weyl group
Witt vector
Zariski topology
ISBN 1-4008-8149-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- INTRODUCTION -- 1. ETALE SITE OF A SIMPLICIAL SCHEME -- 2. SHEAVES AND COHOMOLOGY -- 3. COHOMOLOGY VIA HYPERCOVERINGS -- 4. ETALE TOPOLOGICAL TYPE -- 5. HOMOTOPY INVARIANTS -- 6. WEAK EQUIVALENCES, COMPLETIONS, AND HOMOTOPY LIMITS -- 7. FINITENESS AND HOMOLOGY -- 8. COMPARISON OF HOMOTOPY TYPES -- 9. APPLICATIONS TO TOPOLOGY -- 10. COMPARISON OF GEOMETRIC AND HOMOTOPY THEORETIC FIBRES -- 11. APPLICATIONS TO GEOMETRY -- 12. APPLICATIONS TO FINITE CHE VALLEY GROUPS -- 13. FUNCTION COMPLEXES -- 14. RELATIVE COHOMOLOGY -- 15. TUBULAR NEIGHBORHOODS -- 16. GENERALIZED COHOMOLOGY -- 17. POINCARÉ DUALITY AND LOCALLY COMPACT HOMOLOGY -- REFERENCES -- INDEX -- Backmatter
Record Nr. UNINA-9910154744803321
Friedlander Eric M.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 / / Laurence C. Siebenmann, Robion C. Kirby
Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 / / Laurence C. Siebenmann, Robion C. Kirby
Autore Kirby Robion C.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (373 pages) : illustrations
Disciplina 514/.7
Collana Annals of Mathematics Studies
Soggetto topico Manifolds (Mathematics)
Piecewise linear topology
Triangulating manifolds
Soggetto non controllato Affine space
Algebraic topology (object)
Approximation
Associative property
Automorphism
Big O notation
CW complex
Calculation
Cap product
Cartesian product
Category of sets
Chain complex
Classification theorem
Classifying space
Cobordism
Codimension
Cofibration
Cohomology
Connected space
Continuous function (set theory)
Continuous function
Counterexample
Diffeomorphism
Differentiable manifold
Differential structure
Differential topology
Dimension (vector space)
Direct proof
Disjoint union
Elementary proof
Embedding
Euclidean space
Existence theorem
Existential quantification
Fiber bundle
Fibration
General position
Geometry
Group homomorphism
H-cobordism
H-space
Handle decomposition
Handlebody
Hauptvermutung
Hausdorff space
Hilbert cube
Homeomorphism group
Homeomorphism
Homomorphism
Homotopy group
Homotopy
Inclusion map
Injective function
Invertible matrix
K-cell (mathematics)
Kan extension
Linear subspace
Linear topology
Manifold
Mapping cylinder
Mathematical induction
Mathematician
Metric space
Morse theory
Neighbourhood (mathematics)
Open set
Partition of unity
Piecewise linear manifold
Piecewise linear
Poincaré conjecture
Polyhedron
Principal bundle
Product metric
Pushout (category theory)
Regular homotopy
Retract
Sheaf (mathematics)
Simplicial complex
Smoothing
Spin structure
Stability theory
Stable manifold
Standard map
Submanifold
Submersion (mathematics)
Subset
Surgery exact sequence
Surjective function
Theorem
Topological group
Topological manifold
Topological space
Topology
Transversal (geometry)
Transversality (mathematics)
Transversality theorem
Union (set theory)
Uniqueness theorem
Vector bundle
Zorn's lemma
ISBN 1-4008-8150-1
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Foreword -- Table of contents -- Guide -- Essay I. Deformation of smooth and piecewise linear manifold structures / Kirby, R. / Siebenmann, L. -- Essay II. Deformation of sliced families of manifold structures / Siebenmann, L. -- Essay III. Some basic theorems about topological manifolds / Siebenmann, L. / Kirby, R. -- Essay IV. Stable classification of smooth and piecewise linear manifold structures / Siebenmann, L. -- Essay V. Classification of sliced families of manifold structures / Siebenmann, L. -- Annex A. Stable homeomorphisms and the annulus conjecture / Kirby, Robion C. -- Annex B. On The Triangulation of Manifolds and the Hauptvermutung / Kirby, R. C. / Siebenmann, L. C. -- Annex C. Topological Manifolds / Siebenmann, L. C. -- Note on Involutions / Atiyah, M. F. -- Combined Bibliography -- Index -- Backmatter
Record Nr. UNINA-9910154753803321
Kirby Robion C.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Global surgery formula for the Casson-Walker invariant / / by Christine Lescop
Global surgery formula for the Casson-Walker invariant / / by Christine Lescop
Autore Lescop Christine <1966->
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , 1996
Descrizione fisica 1 online resource (156 p.)
Disciplina 514/.72
Collana Annals of Mathematics Studies
Soggetto topico Surgery (Topology)
Three-manifolds (Topology)
Soggetto non controllato 3-manifold
Addition
Alexander polynomial
Ambient isotopy
Betti number
Casson invariant
Change of basis
Change of variables
Cobordism
Coefficient
Combination
Combinatorics
Computation
Conjugacy class
Connected component (graph theory)
Connected space
Connected sum
Cup product
Determinant
Diagram (category theory)
Disk (mathematics)
Empty set
Exterior (topology)
Fiber bundle
Fibration
Function (mathematics)
Fundamental group
Homeomorphism
Homology (mathematics)
Homology sphere
Homotopy sphere
Indeterminate (variable)
Integer
Klein bottle
Knot theory
Manifold
Morphism
Notation
Orientability
Permutation
Polynomial
Prime number
Projective plane
Scientific notation
Seifert surface
Sequence
Summation
Symmetrization
Taylor series
Theorem
Topology
Tubular neighborhood
Unlink
ISBN 0-691-02133-3
1-4008-6515-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Table of contents -- Chapter 1. Introduction and statements of the results -- Chapter 2. The Alexander series of a link in a rational homology sphere and some of its properties -- Chapter 3. Invariance of the surgery formula under a twist homeomorphism -- Chapter 4. The formula for surgeries starting from rational homology spheres -- Chapter 5. The invariant A. for 3-manifolds with nonzero rank -- Chapter 6. Applications and variants of the surgery formula -- Appendix. More about the Alexander series -- Bibliography -- Index
Record Nr. UNINA-9910786748103321
Lescop Christine <1966->  
Princeton, New Jersey : , : Princeton University Press, , 1996
Materiale a stampa
Lo trovi qui: Univ. Federico II
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