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Characteristic Classes. (AM-76), Volume 76 / / John Milnor, James D. Stasheff
Characteristic Classes. (AM-76), Volume 76 / / John Milnor, James D. Stasheff
Autore Milnor John
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (339 pages) : illustrations
Disciplina 514/.7
Collana Annals of Mathematics Studies
Soggetto topico Characteristic classes
Soggetto non controllato Additive group
Axiom
Basis (linear algebra)
Boundary (topology)
Bundle map
CW complex
Canonical map
Cap product
Cartesian product
Characteristic class
Charles Ehresmann
Chern class
Classifying space
Coefficient
Cohomology ring
Cohomology
Compact space
Complex dimension
Complex manifold
Complex vector bundle
Complexification
Computation
Conformal geometry
Continuous function
Coordinate space
Cross product
De Rham cohomology
Diffeomorphism
Differentiable manifold
Differential form
Differential operator
Dimension (vector space)
Dimension
Direct sum
Directional derivative
Eilenberg–Steenrod axioms
Embedding
Equivalence class
Euler class
Euler number
Existence theorem
Existential quantification
Exterior (topology)
Fiber bundle
Fundamental class
Fundamental group
General linear group
Grassmannian
Gysin sequence
Hausdorff space
Homeomorphism
Homology (mathematics)
Homotopy
Identity element
Integer
Interior (topology)
Isomorphism class
J-homomorphism
K-theory
Leibniz integral rule
Levi-Civita connection
Limit of a sequence
Linear map
Metric space
Natural number
Natural topology
Neighbourhood (mathematics)
Normal bundle
Open set
Orthogonal complement
Orthogonal group
Orthonormal basis
Partition of unity
Permutation
Polynomial
Power series
Principal ideal domain
Projection (mathematics)
Representation ring
Riemannian manifold
Sequence
Singular homology
Smoothness
Special case
Steenrod algebra
Stiefel–Whitney class
Subgroup
Subset
Symmetric function
Tangent bundle
Tensor product
Theorem
Thom space
Topological space
Topology
Unit disk
Unit vector
Variable (mathematics)
Vector bundle
Vector space
ISBN 1-4008-8182-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface -- Contents -- §1. Smooth Manifolds -- §2. Vector Bundles -- §3. Constructing New Vector Bundles Out of Old -- §4. Stiefel-Whitney Classes -- §5. Grassmann Manifolds and Universal Bundles -- §6. A Cell Structure for Grassmann Manifolds -- §7. The Cohomology Ring H*(Gn; Z/2) -- §8. Existence of Stiefel-Whitney Classes -- §9. Oriented Bundles and the Euler Class -- §10. The Thom Isomorphism Theorem -- §11. Computations in a Smooth Manifold -- §12. Obstructions -- §13. Complex Vector Bundles and Complex Manifolds -- §14. Chern Classes -- §15. Pontrjagin Classes -- §16. Chern Numbers and Pontrjagin Numbers -- §17. The Oriented Cobordism Ring Ω* -- §18. Thom Spaces and Transversality -- §19. Multiplicative Sequences and the Signature Theorem -- §20. Combinatorial Pontrjagin Classes -- Epilogue -- Appendix A: Singular Homology and Cohomology -- Appendix B: Bernoulli Numbers -- Appendix C: Connections, Curvature, and Characteristic Classes -- Bibliography -- Index
Record Nr. UNINA-9910154754803321
Milnor John  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
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Contributions to the Theory of Games (AM-39), Volume III / / Philip Wolfe, Albert William Tucker, Melvin Dresher
Contributions to the Theory of Games (AM-39), Volume III / / Philip Wolfe, Albert William Tucker, Melvin Dresher
Autore Dresher Melvin
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (452 pages) : illustrations
Disciplina 519.3
Collana Annals of Mathematics Studies
Soggetto topico Game theory
Soggetto non controllato Almost surely
American Mathematical Society
Axiom of choice
Bayes estimator
Big O notation
Binomial coefficient
Binomial theorem
Boundary value problem
C0
Calculation
Cartesian product
Characteristic function (probability theory)
Coefficient
Complete metric space
Composition series
Continuous function (set theory)
Continuous game
Counterexample
Decision problem
Decision theory
Determinacy
Diagram (category theory)
Differential equation
Differential game
Distribution function
Elementary matrix
Equation
Existence theorem
Expected utility hypothesis
Extended real number line
Family of sets
Finitary
Function (mathematics)
Functional equation
Fundamenta Mathematicae
Fundamental theorem
Inequality (mathematics)
Infimum and supremum
Integral equation
Interval (mathematics)
Joint probability distribution
Kakutani fixed-point theorem
Kakutani's theorem
Laplace's equation
Lipschitz continuity
Loss function
Markov chain
Martingale (probability theory)
Mathematical analysis
Mathematical induction
Mathematical optimization
Mathematics
Maxima and minima
Measure (mathematics)
Metric space
Monotonic function
N-vector
Ordinal number
Outcome (probability)
Parametric statistics
Parity (mathematics)
Partial differential equation
Polynomial
Preference (economics)
Probability distribution
Probability measure
Probability theory
Probability
Product topology
Proportionality (mathematics)
Randomization
Rate of convergence
Real projective plane
Recurrence relation
Recursive set
Recursively enumerable set
Reductio ad absurdum
Restriction (mathematics)
Scientific notation
Series (mathematics)
Set (mathematics)
Sigma-algebra
Sign (mathematics)
Solution set
Special case
Stochastic game
Stochastic process
Stochastic
Strategy (game theory)
Subharmonic function
Summation
Theorem
Topological game
Topological space
Topology
Transfinite induction
Turing machine
Utility
Variable (mathematics)
Zorn's lemma
ISBN 1-4008-8215-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- INTRODUCTION -- PART I. MOVE AS PLAYS OF OTHER GAMES -- 1. ON GAMES OP SURVIVAL / Milnor, J. / Shapley, L .S. -- 2. RECURSIVE GAMES / Everett, H. -- 3. FINITARY GAMES / Isbell, J. R. -- 4. APPROXIMATION TO RAYES RISK IN REPEATED PLAY / Hannan, James -- 5. INFORMATION IN GAMES WITH FINITE RESOURCES / Gale, David -- PART II. GAMES WITH PERFECT INFORMATION -- 6. EFFECTIVE COMPUTABILITY OF WINNING STRATEGIES / Rabin, Michael O. -- 7. THE BANACH-MAZUR GAME AND BANACH CATEGORY THEOREM / Oxtoby, John C. -- 8. TOPOLOGICAL GAMES WITH PERFECT INFORMATION / Berge, Claude -- 9. STOCHASTIC GAMES WITH ZERO STOP PROBABILITIES / Gillette, Dean -- 10. CARTESIAN PRODUCTS OF TERMINATION GAMES / Holladay, John C. -- 11. A STUDY OP SIMPLE GAMES THROUGH EXPERIMENTS ON COMPUTING MACHINES / Walden, w. -- PART III. GAMES WITH PARTIAL INFORMATION -- 12. GAMES WITH PARTIAL INFORMATION / Scarf, H. E. / Shapley, L. S. -- 13. A DISCRETE EVASION GAME / Dabins, L. E. -- 14. AN INFINITE MOVE GAME WITH A LAG / Karlin, Samuel -- 15. THE EFFECT OF PSYCHOLOGICAL ATTITUDES ON THE OUTCOMES OF GAMES / Kemeny, John G. / Thompson, Gerald L. -- PART IV. GAMES WITH CONTINUUM OF STRATEGIES -- 16. ON A GAME WITHOUT A VALUE / Sion, Maurice / Wolfe, Philip -- 17. A RATIONAL GAME ON THE SQUARE / Gross, O. -- 18. TACTICAL PROBLEMS INVOLVING SEVERAL ACTIONS / Restrepo, Rodrigo -- 19. MULTISTAGE POKER MODELS / Karlin, Samuel / Restrepo, Rodrigo -- 20. ON GAMES DESCRIBED BY BELL SHAPED KERNELS / Karlin, Samuel -- PART V. GAMES WITH A CONTINUUM OF MOVES -- 21. ON DIFFERENTIAL GAMES WITH SURVIVAL PAYOFF / Scarf, H. E. -- 22. A NOTE ON DIFFERENTIAL GAMES OF PRESCRIBED DURATION / Fleming, W. H. -- 23. ON DIFFERENTIAL GAMES WITH INTEGRAL PAYOFF / Berkovitz, L. D. / Fleming, W. H. -- Backmatter
Record Nr. UNINA-9910154750403321
Dresher Melvin  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Convergence and Uniformity in Topology. (AM-2), Volume 2 / / John W. Tukey
Convergence and Uniformity in Topology. (AM-2), Volume 2 / / John W. Tukey
Autore Tukey John W.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (108 pages)
Disciplina 510.82
513.83
Collana Annals of Mathematics Studies
Soggetto topico Topology
Soggetto non controllato Absolute value
Abstract algebra
Algebraic topology
Axiom of choice
Binary relation
Cardinal number
Characteristic function (probability theory)
Closed set
Closure operator
Combinatorial topology
Compact space
Complete lattice
Complete metric space
Continuous function (set theory)
Continuous function
Countable set
Counterexample
Dimension theory (algebra)
Dimension theory
Discrete space
Domain of a function
Empty set
Enumeration
Equivalence class
Equivalence relation
Existential quantification
Family of sets
Finite set
General topology
Geometry
Hahn–Banach theorem
Hausdorff space
Homeomorphism
Infimum and supremum
Integer
Interval (mathematics)
Lebesgue constant (interpolation)
Limit point
Linear space (geometry)
Mathematician
Mathematics
Maximal element
Metric space
Monotonic function
Mutual exclusivity
Natural number
Negation
Normal space
Open set
Ordinal number
Real number
Regular space
Requirement
Scientific notation
Separation axiom
Set (mathematics)
Set theory
Special case
Subsequence
Subset
Suggestion
Summation
Superspace
Theorem
Theory
Topological algebra
Topology
Total order
Transfinite induction
Transfinite number
Transfinite
Transitive relation
Tychonoff space
Ultrafilter
Uncountable set
Uniform continuity
Union (set theory)
Upper and lower bounds
Zorn's lemma
ISBN 1-4008-8219-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Introduction -- Contents -- General Usage of The Alphabets -- Special Usage of The Alphabets -- Usage of General Symbols -- Chapter I. Ordering -- Chapter II. Direction -- Chapter III. Convergence -- Chapter IV. Compactness -- Chapter V. Normality -- Chapter VI. Structs -- Chapter VII. Function - Spaces -- Chapter VIII. Examples -- Chapter IX. Discussion -- Bibliography -- Index
Record Nr. UNINA-9910154748703321
Tukey John W.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Degrees of Unsolvability. (AM-55), Volume 55 / / Gerald E. Sacks
Degrees of Unsolvability. (AM-55), Volume 55 / / Gerald E. Sacks
Autore Sacks Gerald E.
Edizione [Second edition.]
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (189 pages)
Disciplina 517.5
Collana Annals of Mathematics Studies
Soggetto topico Recursive functions
Unsolvability (Mathematical logic)
Soggetto non controllato Addition
Aleph number
Algebraic topology
Approximation
Arithmetic function
Arithmetical set
Axiom of choice
Baire category theorem
Cardinality of the continuum
Cardinality
Cartesian product
Category theory
Commutative property
Conjecture
Continuum hypothesis
Contradiction
Corollary
Countable set
Disjoint union
Effective method
Empty set
Enumeration
Equation
Existence theorem
Existential quantification
Finite set
Fixed-point theorem
Fourier analysis
Fubini's theorem
Gödel numbering
Identity function
Inequality (mathematics)
Infimum and supremum
Integer
Lebesgue measure
Limit of a sequence
Limit point
Mathematical induction
Mathematics
Mean of a function
Measure (mathematics)
Metric space
Monotonic function
Mostowski
Mutual exclusivity
Natural number
Null set
Open set
Partial function
Partially ordered set
Predicate (mathematical logic)
Product measure
Product topology
Real number
Recursion
Recursive set
Recursively enumerable set
Reductio ad absurdum
Regular space
Requirement
Scientific notation
Sequence
Set (mathematics)
Simultaneous equations
Subset
Theorem
Topology
Transfinite induction
Tychonoff's theorem
Uncountable set
Union (set theory)
Upper and lower bounds
Variable (mathematics)
W0
Well-order
Without loss of generality
Zorn's lemma
ISBN 1-4008-8184-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface to revised edition -- Contents -- §1. Preliminaries -- §2 . A Continuum of Mutually Incomparable Degrees -- §3. Uncountable Suborderings of Degrees -- §4. The Priority Method Of Friedberg and Muchnik -- §5. An Existence Theorem For Recursively Enumerable Degrees -- §6 . The Jump Operator -- §7. An Interpolation Theorem for Recursively Enumerable Degrees -- §8. Minimal Upper Bounds for Sequences of Degrees -- §9. Minimal Degrees -- §10. Measure-Theoretic, Category and Descriptive Set-Theoretic Arguments -- §11. Initial Segments of Degrees -- §12. Further Results and Conjectures -- Bibliography
Record Nr. UNINA-9910154752603321
Sacks Gerald E.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Discontinuous Groups and Riemann Surfaces (AM-79), Volume 79 : Proceedings of the 1973 Conference at the University of Maryland. (AM-79) / / Leon Greenberg
Discontinuous Groups and Riemann Surfaces (AM-79), Volume 79 : Proceedings of the 1973 Conference at the University of Maryland. (AM-79) / / Leon Greenberg
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (456 pages) : illustrations
Disciplina 512/.2
Collana Annals of Mathematics Studies
Soggetto topico Riemann surfaces
Discontinuous groups
Soggetto non controllato Abelian variety
Adjunction (field theory)
Affine space
Algebraic curve
Algebraic structure
Analytic function
Arithmetic genus
Automorphism
Bernhard Riemann
Boundary (topology)
Cauchy sequence
Cauchy–Schwarz inequality
Cayley–Hamilton theorem
Closed geodesic
Combination
Commutative diagram
Commutator subgroup
Compact Riemann surface
Complex dimension
Complex manifold
Complex multiplication
Complex space
Complex torus
Congruence subgroup
Conjugacy class
Convex set
Cyclic group
Degeneracy (mathematics)
Diagram (category theory)
Diffeomorphism
Differential form
Dimension (vector space)
Disjoint sets
E7 (mathematics)
Endomorphism
Equation
Equivalence class
Euclidean space
Existence theorem
Existential quantification
Finite group
Finitely generated group
Fuchsian group
Fundamental domain
Fundamental lemma (Langlands program)
Fundamental polygon
Galois extension
Holomorphic function
Homeomorphism
Homology (mathematics)
Homomorphism
Hurwitz's theorem (number theory)
Inclusion map
Inequality (mathematics)
Inner automorphism
Intersection (set theory)
Irreducibility (mathematics)
Isomorphism class
Isomorphism theorem
Jacobian variety
Jordan curve theorem
Kleinian group
Limit point
Mapping class group
Metric space
Monodromy
Monomorphism
Möbius transformation
Non-Euclidean geometry
Orthogonal trajectory
Permutation
Polynomial
Power series
Projective variety
Quadratic differential
Quadric
Quasi-projective variety
Quasiconformal mapping
Quotient space (topology)
Rectangle
Riemann mapping theorem
Riemann surface
Schwarzian derivative
Simply connected space
Simultaneous equations
Special case
Subgroup
Subsequence
Surjective function
Symmetric space
Tangent space
Teichmüller space
Theorem
Topological space
Topology
Uniqueness theorem
Unit disk
Variable (mathematics)
Winding number
Word problem (mathematics)
ISBN 1-4008-8164-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE / Greenberg, L. -- CONTENTS -- CONSTRUCT ABILITY AND BERS STABILITY OF KLEINIAN GROUPS / Abikoff, William -- ALGEBRAIC CURVES AND HALF-CANONICAL LINEAR SERIES / Accola, Robert D. M. -- SUFFICIENT CONDITIONS FOR QUASI-CONFORMAL EXTENSION / Ahlfors, Lars V. -- FUNDAMENTAL DOMAINS FOR KLEINIAN GROUPS / Beardon, A. F. -- SPACES OF DEGENERATING RIEMANN SURFACES / Bers, Lipman -- MAPPING CLASS GROUPS OF SURFACES: A SURVEY / Birman, Joan S. -- A NOTE ON L2 ( Γ G ) / Chen, Su-shing -- ON THE OUTRADIUS OF FINITE-DIMENSIONAL TEICHMÜLLER SPACES / Chu, T. -- SOME DIRECT LIMITS OF PRIMITIVE HOMOTOPY WORDS AND OF MARKOFF GEODESICS / Cohn, Harvey -- ON THE CARATHÉODORY METRIC IN TEICHMÜLLER SPACES / Earle, Clifford J. -- SOME REFINEMENTS OF THE POINCARÉ PERIOD RELATION / Ehrenpreis, L. / Farkas, H. M. -- REMARKS ON AUTOMORPHISMS OF COMPACT RIEMANN SURFACES / Farkas, Hershel M. -- THE STRUCTURE OF PSL2(R );R , THE RING OF INTEGERS IN A EUCLIDEAN QUADRATIC IMAGINARY NUMBER FIELD / Fine, Benjamin -- QUASI-CONFORMAL MAPPINGS AND LEBESGUE DENSITY / Gehring, F. W. / Kelly, J. C. -- ON THE MODULI OF COMPACT RIEMANN SURFACES WITH A FINITE NUMBER OF PUNCTURES / Gilman, Jane -- MAXIMAL GROUPS AND SIGNATURES / Greenberg, Leon -- COMMENSURABLE GROUPS OF MOEBIUS TRANSFORMATIONS / Greenberg, Leon -- CHABAUTY SPACES OF DISCRETE GROUPS / Harvey, William -- MONODROMY GROUPS AND LINEARLY POLYMORPHIC FUNCTIONS / Hejhal, Dennis A. -- COLLARS ON RIEMANN SURFACES / Keen, Linda -- DEFORMATIONS OF CERTAIN COMPLEX MANIFOLDS / Kiremidjian, Garo K. -- ON THE A (Γ ) ⊂ Bq(Γ ) CONJECTURE FOR INFINITELY GENERATED GROUPS / Lehner, Joseph -- THE FUNDAMENTAL GROUPS OF CERTAIN SUBGROUP SPACES / Macbeath, A. M. -- MODULAR GROUPS AND FIBER SPACES OVER TEICHMÜLLER SPACES / Maclachlan, C. -- UNIVERSAL PROPERTIES OF FUCHSIAN GROUPS IN THE POINCARÉ METRIC / Marden, Albert -- REMARKS ON COMPLEX MULTIPLICATION AND SINGULAR RIEMANN MATRICES / Martens, Henrik H. -- INTERSECTIONS OF COMPONENT SUBGROUPS OF KLEINIAN GROUPS / Maskit, Bernard -- POLYNOMIAL APPROXIMATION IN THE BERS SPACES / Metzger, Thomas / Sheingorn, Mark -- SIMPLE ILLUSTRATIONS OF THE USES OF EXPLICIT COMPUTATION OF THETA CONSTANTS / Rauch, Harry E. -- ON THE RELATION BETWEEN LOCAL AND GLOBAL PROPERTIES OF BOUNDARY VALUES FOR EXTREMAL QUASI-CONFORMAL MAPPINGS / Reich, Edgar -- SYMMETRIC EMBEDDINGS OF RIEMANN SURFACES / Rüedy, Reto A. -- ON THE TRAJECTORY STRUCTURE OF QUADRATIC DIFFERENTIALS / Strebel, Kurt -- THE MAXIMAL INSCRIBED BALL OF A FUCHSIAN GROUP / Sturm, Jacob / Shinnar, Meir -- Backmatter
Record Nr. UNINA-9910154754003321
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
Milnor John W (John Willard), <1931->  
Princeton, N.J., : Princeton University Press, 2006
Materiale a stampa
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Elliptic partial differential equations and quasiconformal mappings in the plane [[electronic resource] /] / Kari Astala, Tadeusz Iwaniec, and Gaven Martin
Elliptic partial differential equations and quasiconformal mappings in the plane [[electronic resource] /] / Kari Astala, Tadeusz Iwaniec, and Gaven Martin
Autore Astala Kari <1953->
Edizione [Course Book]
Pubbl/distr/stampa Princeton, : Princeton University Press, c2009
Descrizione fisica 1 online resource (696 p.)
Disciplina 515/.93
Altri autori (Persone) IwaniecTadeusz
MartinGaven
Collana Princeton mathematical series
Soggetto topico Differential equations, Elliptic
Quasiconformal mappings
Soggetto non controllato Adjoint equation
Analytic function
Analytic proof
Banach space
Beltrami equation
Boundary value problem
Bounded mean oscillation
Calculus of variations
Cantor function
Cartesian product
Cauchy–Riemann equations
Central limit theorem
Characterization (mathematics)
Complex analysis
Complex plane
Conformal geometry
Conformal map
Conjugate variables
Continuous function (set theory)
Coordinate space
Degeneracy (mathematics)
Differential equation
Directional derivative
Dirichlet integral
Dirichlet problem
Disk (mathematics)
Distribution (mathematics)
Elliptic operator
Elliptic partial differential equation
Equation
Equations of motion
Euler–Lagrange equation
Explicit formulae (L-function)
Factorization
Fourier transform
Fubini's theorem
Geometric function theory
Geometric measure theory
Geometry
Harmonic conjugate
Harmonic function
Harmonic map
Harmonic measure
Hilbert transform
Holomorphic function
Homeomorphism
Hyperbolic geometry
Hyperbolic trigonometry
Invertible matrix
Jacobian matrix and determinant
Julia set
Lagrangian (field theory)
Laplace's equation
Limit (mathematics)
Linear differential equation
Linear equation
Linear fractional transformation
Linear map
Linearization
Lipschitz continuity
Locally integrable function
Lusin's theorem
Mathematical optimization
Mathematics
Maxima and minima
Maxwell's equations
Measure (mathematics)
Metric space
Mirror symmetry (string theory)
Moduli space
Modulus of continuity
Monodromy theorem
Monotonic function
Montel's theorem
Operator (physics)
Operator theory
Partial derivative
Partial differential equation
Poisson formula
Polynomial
Quadratic function
Quasiconformal mapping
Quasiconvex function
Quasisymmetric function
Renormalization
Riemann sphere
Riemann surface
Riemannian geometry
Riesz transform
Riesz–Thorin theorem
Sign (mathematics)
Sobolev space
Square-integrable function
Support (mathematics)
Theorem
Two-dimensional space
Uniformization theorem
Upper half-plane
Variable (mathematics)
Weyl's lemma (Laplace equation)
ISBN 1-282-15727-2
9786612157271
1-4008-3011-7
Classificazione SK 560
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter 1. Introduction -- Chapter 2. A Background In Conformal Geometry -- Chapter 3. The Foundations Of Quasiconformal Mappings -- Chapter 4. Complex Potentials -- Chapter 5. The Measurable Riemann Mapping Theorem: The Existence Theory Of Quasiconformal Mappings -- Chapter 6. Parameterizing General Linear Elliptic Systems -- Chapter 7. The Concept Of Ellipticity -- Chapter 8. Solving General Nonlinear First-Order Elliptic Systems -- Chapter 9. Nonlinear Riemann Mapping Theorems -- Chapter 10. Conformal Deformations And Beltrami Systems -- Chapter 11. A Quasilinear Cauchy Problem -- Chapter 12. Holomorphic Motions -- Chapter 13. Higher Integrability -- Chapter 14. Lp-Theory Of Beltrami Operators -- Chapter 15. Schauder Estimates For Beltrami Operators -- Chapter 16. Applications To Partial Differential Equations -- Chapter 17. PDEs Not Of Divergence Type: Pucci'S Conjecture -- Chapter 18. Quasiconformal Methods In Impedance Tomography: Calderón's Problem -- Chapter 19. Integral Estimates For The Jacobian -- Chapter 20. Solving The Beltrami Equation: Degenerate Elliptic Case -- Chapter 21. Aspects Of The Calculus Of Variations -- Appendix: Elements Of Sobolev Theory And Function Spaces -- Basic Notation -- Bibliography -- Index
Record Nr. UNINA-9910778138403321
Astala Kari <1953->  
Princeton, : Princeton University Press, c2009
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The ergodic theory of lattice subgroups [[electronic resource] /] / Alexander Gorodnik and Amos Nevo
The ergodic theory of lattice subgroups [[electronic resource] /] / Alexander Gorodnik and Amos Nevo
Autore Gorodnik Alexander <1975->
Edizione [Course Book]
Pubbl/distr/stampa Princeton, N.J., : Princeton University Press, 2009
Descrizione fisica 1 online resource (136 p.)
Disciplina 515/.48
Altri autori (Persone) NevoAmos <1966->
Collana Annals of mathematics studies
Soggetto topico Ergodic theory
Lie groups
Lattice theory
Harmonic analysis
Dynamics
Soggetto non controllato Absolute continuity
Algebraic group
Amenable group
Asymptote
Asymptotic analysis
Asymptotic expansion
Automorphism
Borel set
Bounded function
Bounded operator
Bounded set (topological vector space)
Congruence subgroup
Continuous function
Convergence of random variables
Convolution
Coset
Counting problem (complexity)
Counting
Differentiable function
Dimension (vector space)
Diophantine approximation
Direct integral
Direct product
Discrete group
Embedding
Equidistribution theorem
Ergodic theory
Ergodicity
Estimation
Explicit formulae (L-function)
Family of sets
Haar measure
Hilbert space
Hyperbolic space
Induced representation
Infimum and supremum
Initial condition
Interpolation theorem
Invariance principle (linguistics)
Invariant measure
Irreducible representation
Isometry group
Iwasawa group
Lattice (group)
Lie algebra
Linear algebraic group
Linear space (geometry)
Lipschitz continuity
Mass distribution
Mathematical induction
Maximal compact subgroup
Maximal ergodic theorem
Measure (mathematics)
Mellin transform
Metric space
Monotonic function
Neighbourhood (mathematics)
Normal subgroup
Number theory
One-parameter group
Operator norm
Orthogonal complement
P-adic number
Parametrization
Parity (mathematics)
Pointwise convergence
Pointwise
Principal homogeneous space
Principal series representation
Probability measure
Probability space
Probability
Rate of convergence
Regular representation
Representation theory
Resolution of singularities
Sobolev space
Special case
Spectral gap
Spectral method
Spectral theory
Square (algebra)
Subgroup
Subsequence
Subset
Symmetric space
Tensor algebra
Tensor product
Theorem
Transfer principle
Unit sphere
Unit vector
Unitary group
Unitary representation
Upper and lower bounds
Variable (mathematics)
Vector group
Vector space
Volume form
Word metric
ISBN 1-282-30380-5
9786612303807
1-4008-3106-7
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter One. Main results: Semisimple Lie groups case -- Chapter Two. Examples and applications -- Chapter Three. Definitions, preliminaries, and basic tools -- Chapter Four. Main results and an overview of the proofs -- Chapter Five. Proof of ergodic theorems for S-algebraic groups -- Chapter Six. Proof of ergodic theorems for lattice subgroups -- Chapter Seven. Volume estimates and volume regularity -- Chapter Eight. Comments and complements -- Bibliography -- Index
Record Nr. UNINA-9910781200803321
Gorodnik Alexander <1975->  
Princeton, N.J., : Princeton University Press, 2009
Materiale a stampa
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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]
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Higher topos theory [[electronic resource] /] / Jacob Lurie
Higher topos theory [[electronic resource] /] / Jacob Lurie
Autore Lurie Jacob <1977->
Edizione [Course Book]
Pubbl/distr/stampa Princeton, N.J., : Princeton University Press, 2009
Descrizione fisica 1 online resource (944 p.)
Disciplina 512/.62
Collana Annals of mathematics studies
Soggetto topico Toposes
Categories (Mathematics)
Soggetto non controllato Adjoint functors
Associative property
Base change map
Base change
CW complex
Canonical map
Cartesian product
Category of sets
Category theory
Coequalizer
Cofinality
Coherence theorem
Cohomology
Cokernel
Commutative property
Continuous function (set theory)
Contractible space
Coproduct
Corollary
Derived category
Diagonal functor
Diagram (category theory)
Dimension theory (algebra)
Dimension theory
Dimension
Enriched category
Epimorphism
Equivalence class
Equivalence relation
Existence theorem
Existential quantification
Factorization system
Functor category
Functor
Fundamental group
Grothendieck topology
Grothendieck universe
Group homomorphism
Groupoid
Heyting algebra
Higher Topos Theory
Higher category theory
Homotopy category
Homotopy colimit
Homotopy group
Homotopy
I0
Inclusion map
Inductive dimension
Initial and terminal objects
Inverse limit
Isomorphism class
Kan extension
Limit (category theory)
Localization of a category
Maximal element
Metric space
Model category
Monoidal category
Monoidal functor
Monomorphism
Monotonic function
Morphism
Natural transformation
Nisnevich topology
Noetherian topological space
Noetherian
O-minimal theory
Open set
Power series
Presheaf (category theory)
Prime number
Pullback (category theory)
Pushout (category theory)
Quillen adjunction
Quotient by an equivalence relation
Regular cardinal
Retract
Right inverse
Sheaf (mathematics)
Sheaf cohomology
Simplicial category
Simplicial set
Special case
Subcategory
Subset
Surjective function
Tensor product
Theorem
Topological space
Topology
Topos
Total order
Transitive relation
Universal property
Upper and lower bounds
Weak equivalence (homotopy theory)
Yoneda lemma
Zariski topology
Zorn's lemma
ISBN 1-282-64495-5
9786612644955
1-4008-3055-9
Classificazione SI 830
SK 320
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter One. An Overview Of Higher Category Theory -- Chapter Two. Fibrations Of Simplicial Sets -- Chapter Three. The ∞-Category Of ∞-Categories -- Chapter Four. Limits And Colimits -- Chapter Five. Presentable And Accessible ∞-Categories -- Chapter Six. ∞-Topoi -- Chapter Seven. Higher Topos Theory In Topology -- Appendix -- Bibliography -- General Index -- Index Of Notation
Record Nr. UNINA-9910784939903321
Lurie Jacob <1977->  
Princeton, N.J., : Princeton University Press, 2009
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