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Algebraic curves over a finite field / / J. W. P. Hirschfeld, G. Korchmaros, F. Torres
| Algebraic curves over a finite field / / J. W. P. Hirschfeld, G. Korchmaros, F. Torres |
| Autore | Hirschfeld J. W. P (James William Peter), <1940-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2008 |
| Descrizione fisica | 1 online resource (717 p.) |
| Disciplina | 516.352 |
| Collana | Princeton Series in Applied Mathematics |
| Soggetto topico |
Curves, Algebraic
Finite fields (Algebra) |
| Soggetto non controllato |
Abelian group
Abelian variety Affine plane Affine space Affine variety Algebraic closure Algebraic curve Algebraic equation Algebraic extension Algebraic function Algebraic geometry Algebraic integer Algebraic number field Algebraic number theory Algebraic number Algebraic variety Algebraically closed field Applied mathematics Automorphism Birational invariant Characteristic exponent Classification theorem Clifford's theorem Combinatorics Complex number Computation Cyclic group Cyclotomic polynomial Degeneracy (mathematics) Degenerate conic Divisor (algebraic geometry) Divisor Dual curve Dual space Elliptic curve Equation Fermat curve Finite field Finite geometry Finite group Formal power series Function (mathematics) Function field Fundamental theorem Galois extension Galois theory Gauss map General position Generic point Geometry Homogeneous polynomial Hurwitz's theorem Hyperelliptic curve Hyperplane Identity matrix Inequality (mathematics) Intersection number (graph theory) Intersection number J-invariant Line at infinity Linear algebra Linear map Mathematical induction Mathematics Menelaus' theorem Modular curve Natural number Number theory Parity (mathematics) Permutation group Plane curve Point at infinity Polar curve Polygon Polynomial Power series Prime number Projective plane Projective space Quadratic transformation Quadric Resolution of singularities Riemann hypothesis Scalar multiplication Scientific notation Separable extension Separable polynomial Sign (mathematics) Singular point of a curve Special case Subgroup Sylow theorems System of linear equations Tangent Theorem Transcendence degree Upper and lower bounds Valuation ring Variable (mathematics) Vector space |
| ISBN | 1-4008-4741-9 |
| Classificazione | SK 240 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- PART 1. General theory of curves -- Chapter One. Fundamental ideas -- Chapter Two. Elimination theory -- Chapter Three. Singular points and intersections -- Chapter Four. Branches and parametrisation -- Chapter Five. The function field of a curve -- Chapter Six. Linear series and the Riemann-Roch Theorem -- Chapter Seven. Algebraic curves in higher-dimensional spaces -- PART 2. Curves over a finite field -- Chapter Eight. Rational points and places over a finite field -- Chapter Nine. Zeta functions and curves with many rational points -- PART 3. Further developments -- Chapter Ten. Maximal and optimal curves -- Chapter Eleven. Automorphisms of an algebraic curve -- Chapter Twelve. Some families of algebraic curves -- Chapter Thirteen. Applications: codes and arcs -- Appendix A. Background on field theory and group theory -- Appendix B. Notation -- Bibliography -- Index |
| Record Nr. | UNINA-9910786795203321 |
Hirschfeld J. W. P (James William Peter), <1940->
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| Princeton, New Jersey : , : Princeton University Press, , 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Algebraic curves over a finite field / / J. W. P. Hirschfeld, G. Korchmaros, F. Torres
| Algebraic curves over a finite field / / J. W. P. Hirschfeld, G. Korchmaros, F. Torres |
| Autore | Hirschfeld J. W. P (James William Peter), <1940-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2008 |
| Descrizione fisica | 1 online resource (717 p.) |
| Disciplina | 516.352 |
| Collana | Princeton Series in Applied Mathematics |
| Soggetto topico |
Curves, Algebraic
Finite fields (Algebra) |
| Soggetto non controllato |
Abelian group
Abelian variety Affine plane Affine space Affine variety Algebraic closure Algebraic curve Algebraic equation Algebraic extension Algebraic function Algebraic geometry Algebraic integer Algebraic number field Algebraic number theory Algebraic number Algebraic variety Algebraically closed field Applied mathematics Automorphism Birational invariant Characteristic exponent Classification theorem Clifford's theorem Combinatorics Complex number Computation Cyclic group Cyclotomic polynomial Degeneracy (mathematics) Degenerate conic Divisor (algebraic geometry) Divisor Dual curve Dual space Elliptic curve Equation Fermat curve Finite field Finite geometry Finite group Formal power series Function (mathematics) Function field Fundamental theorem Galois extension Galois theory Gauss map General position Generic point Geometry Homogeneous polynomial Hurwitz's theorem Hyperelliptic curve Hyperplane Identity matrix Inequality (mathematics) Intersection number (graph theory) Intersection number J-invariant Line at infinity Linear algebra Linear map Mathematical induction Mathematics Menelaus' theorem Modular curve Natural number Number theory Parity (mathematics) Permutation group Plane curve Point at infinity Polar curve Polygon Polynomial Power series Prime number Projective plane Projective space Quadratic transformation Quadric Resolution of singularities Riemann hypothesis Scalar multiplication Scientific notation Separable extension Separable polynomial Sign (mathematics) Singular point of a curve Special case Subgroup Sylow theorems System of linear equations Tangent Theorem Transcendence degree Upper and lower bounds Valuation ring Variable (mathematics) Vector space |
| ISBN | 1-4008-4741-9 |
| Classificazione | SK 240 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- PART 1. General theory of curves -- Chapter One. Fundamental ideas -- Chapter Two. Elimination theory -- Chapter Three. Singular points and intersections -- Chapter Four. Branches and parametrisation -- Chapter Five. The function field of a curve -- Chapter Six. Linear series and the Riemann-Roch Theorem -- Chapter Seven. Algebraic curves in higher-dimensional spaces -- PART 2. Curves over a finite field -- Chapter Eight. Rational points and places over a finite field -- Chapter Nine. Zeta functions and curves with many rational points -- PART 3. Further developments -- Chapter Ten. Maximal and optimal curves -- Chapter Eleven. Automorphisms of an algebraic curve -- Chapter Twelve. Some families of algebraic curves -- Chapter Thirteen. Applications: codes and arcs -- Appendix A. Background on field theory and group theory -- Appendix B. Notation -- Bibliography -- Index |
| Record Nr. | UNINA-9910812510203321 |
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Hirschfeld J. W. P (James William Peter), <1940->
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| Princeton, New Jersey : , : Princeton University Press, , 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Beijing Lectures in Harmonic Analysis. (AM-112), Volume 112 / / Elias M. Stein
| Beijing Lectures in Harmonic Analysis. (AM-112), Volume 112 / / Elias M. Stein |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (436 pages) : illustrations |
| Disciplina | 515/.2433 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Harmonic analysis |
| Soggetto non controllato |
Analytic function
Asymptotic formula Bergman metric Bernhard Riemann Bessel function Biholomorphism Boundary value problem Bounded mean oscillation Bounded operator Boundedness Cauchy's integral formula Characteristic function (probability theory) Characterization (mathematics) Coefficient Commutator Complexification (Lie group) Continuous function Convolution Degeneracy (mathematics) Differential equation Differential operator Dirac delta function Dirichlet problem Equation Estimation Existence theorem Existential quantification Explicit formula Explicit formulae (L-function) Fatou's theorem Fourier analysis Fourier integral operator Fourier transform Fredholm theory Fubini's theorem Function (mathematics) Functional calculus Fundamental solution Gaussian curvature Hardy space Harmonic analysis Harmonic function Harmonic measure Heisenberg group Hilbert space Hilbert transform Hodge theory Holomorphic function Hyperbolic partial differential equation Hölder's inequality Infimum and supremum Integration by parts Interpolation theorem Intersection (set theory) Invertible matrix Isometry group Laplace operator Laplace's equation Lebesgue measure Linear map Lipschitz continuity Lipschitz domain Lp space Mathematical induction Mathematical physics Maximal function Maximum principle Measure (mathematics) Newtonian potential Non-Euclidean geometry Number theory Operator theory Oscillatory integral Parameter Partial derivative Partial differential equation Polynomial Power series Product metric Radon–Nikodym theorem Riemannian manifold Riesz representation theorem Scientific notation Several complex variables Sign (mathematics) Simultaneous equations Singular function Singular integral Sobolev space Square (algebra) Statistical hypothesis testing Stokes' theorem Support (mathematics) Tangent space Tensor product Theorem Trigonometric series Uniformization theorem Variable (mathematics) Vector field |
| ISBN | 1-4008-8209-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- PREFACE -- NON-LINEAR HARMONIC ANALYSIS, OPERATOR THEORY AND P.D.E. / Coifman, R. R. / Meyer, Yves -- MULTIPARAMETER FOURIER ANALYSIS / Fefferman, Robert -- ELLIPTIC BOUNDARY VALUE PROBLEMS ON LIPSCHITZ DOMAINS / Kenig, Carlos E. -- INTEGRAL FORMULAS IN COMPLEX ANALYSIS / Krantz, Steven G. -- VECTOR FIELDS AND NONISOTROPIC METRICS / Nagel, Alexander -- OSCILLATORY INTEGRALS IN FOURIER ANALYSIS / Stein, E. M. -- AVERAGES AND SINGULAR INTEGRALS OVER LOWER DIMENSIONAL SETS / Wainge, Stephen -- INDEX -- Backmatter |
| Record Nr. | UNINA-9910154749103321 |
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui
| Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui |
| Autore | Kato Kazuya (Kazuya) |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009 |
| Descrizione fisica | 1 online resource (349 p.) |
| Disciplina | 514/.74 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Hodge theory
Logarithms |
| Soggetto non controllato |
Algebraic group
Algebraic variety Analytic manifold Analytic space Annulus (mathematics) Arithmetic group Atlas (topology) Canonical map Classifying space Coefficient Cohomology Compactification (mathematics) Complex manifold Complex number Congruence subgroup Conjecture Connected component (graph theory) Continuous function Convex cone Degeneracy (mathematics) Diagram (category theory) Differential form Direct image functor Divisor Elliptic curve Equivalence class Existential quantification Finite set Functor Geometry Hodge structure Hodge theory Homeomorphism Homomorphism Inverse function Iwasawa decomposition Local homeomorphism Local ring Local system Logarithmic Maximal compact subgroup Modular curve Modular form Moduli space Monodromy Monoid Morphism Natural number Nilpotent orbit Nilpotent Open problem Open set P-adic Hodge theory P-adic number Point at infinity Proper morphism Pullback (category theory) Quotient space (topology) Rational number Relative interior Ring (mathematics) Ring homomorphism Scientific notation Set (mathematics) Sheaf (mathematics) Smooth morphism Special case Strong topology Subgroup Subobject Subset Surjective function Tangent bundle Taylor series Theorem Topological space Topology Transversality (mathematics) Two-dimensional space Vector bundle Vector space Weak topology |
| ISBN |
1-4008-3711-1
0-691-13822-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 0. Overview -- Chapter 1. Spaces of Nilpotent Orbits and Spaces of Nilpotent i-Orbits -- Chapter 2. Logarithmic Hodge Structures -- Chapter 3. Strong Topology and Logarithmic Manifolds -- Chapter 4. Main Results -- Chapter 5. Fundamental Diagram -- Chapter 6. The Map ψ:D#val → DSL(2) -- Chapter 7. Proof of Theorem A -- Chapter 8. Proof of Theorem B -- Chapter 9. b-Spaces -- Chapter 10. Local Structures of DSL(2) and ΓDbSL(2),≤1 -- Chapter 11. Moduli of PLH with Coefficients -- Chapter 12. Examples and Problems -- Appendix -- References -- List of Symbols -- Index |
| Record Nr. | UNINA-9910791746503321 |
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Kato Kazuya (Kazuya)
|
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| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui
| Classifying spaces of degenerating polarized Hodge structures / / Kazuya Kato and Sampei Usui |
| Autore | Kato Kazuya (Kazuya) |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009 |
| Descrizione fisica | 1 online resource (349 p.) |
| Disciplina | 514/.74 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Hodge theory
Logarithms |
| Soggetto non controllato |
Algebraic group
Algebraic variety Analytic manifold Analytic space Annulus (mathematics) Arithmetic group Atlas (topology) Canonical map Classifying space Coefficient Cohomology Compactification (mathematics) Complex manifold Complex number Congruence subgroup Conjecture Connected component (graph theory) Continuous function Convex cone Degeneracy (mathematics) Diagram (category theory) Differential form Direct image functor Divisor Elliptic curve Equivalence class Existential quantification Finite set Functor Geometry Hodge structure Hodge theory Homeomorphism Homomorphism Inverse function Iwasawa decomposition Local homeomorphism Local ring Local system Logarithmic Maximal compact subgroup Modular curve Modular form Moduli space Monodromy Monoid Morphism Natural number Nilpotent orbit Nilpotent Open problem Open set P-adic Hodge theory P-adic number Point at infinity Proper morphism Pullback (category theory) Quotient space (topology) Rational number Relative interior Ring (mathematics) Ring homomorphism Scientific notation Set (mathematics) Sheaf (mathematics) Smooth morphism Special case Strong topology Subgroup Subobject Subset Surjective function Tangent bundle Taylor series Theorem Topological space Topology Transversality (mathematics) Two-dimensional space Vector bundle Vector space Weak topology |
| ISBN |
1-4008-3711-1
0-691-13822-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 0. Overview -- Chapter 1. Spaces of Nilpotent Orbits and Spaces of Nilpotent i-Orbits -- Chapter 2. Logarithmic Hodge Structures -- Chapter 3. Strong Topology and Logarithmic Manifolds -- Chapter 4. Main Results -- Chapter 5. Fundamental Diagram -- Chapter 6. The Map ψ:D#val → DSL(2) -- Chapter 7. Proof of Theorem A -- Chapter 8. Proof of Theorem B -- Chapter 9. b-Spaces -- Chapter 10. Local Structures of DSL(2) and ΓDbSL(2),≤1 -- Chapter 11. Moduli of PLH with Coefficients -- Chapter 12. Examples and Problems -- Appendix -- References -- List of Symbols -- Index |
| Record Nr. | UNINA-9910809577303321 |
|
Kato Kazuya (Kazuya)
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| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2009 | ||
| 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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Elementary Differential Topology. (AM-54), Volume 54 / / James R. Munkres
| Elementary Differential Topology. (AM-54), Volume 54 / / James R. Munkres |
| Autore | Munkres James R. |
| Edizione | [Revised edition.] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (132 pages) : illustrations |
| Disciplina | 513.83 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Differential topology |
| Soggetto non controllato |
Addition
Affine transformation Algebraic topology Analytic manifold Approximation Barycentric coordinate system Barycentric subdivision Basis (linear algebra) Brouwer fixed-point theorem CR manifold Centroid Chain rule Closed set Combinatorics Compact space Conjecture Continuous function Convex set Coordinate system Corollary Degeneracy (mathematics) Diameter Diffeomorphism Differentiable function Differentiable manifold Differential topology Dimension (vector space) Dimension theory (algebra) Dimension theory Disjoint sets Elementary proof Empty set Equation Euclidean space Existential quantification Function composition Fundamental theorem General topology Geometry Grassmannian Homeomorphism Homotopy Hyperplane Identity matrix Inclusion map Integer Intersection (set theory) Invariance of domain Jacobian matrix and determinant Line segment Linear algebra Linear equation Linear map Locally compact space Manifold Mathematical induction Matrix multiplication Metrization theorem Natural number Number theory Open set Partial derivative Partition of unity Polyhedron Polytope Regular homotopy Remainder Scientific notation Secant Similarity (geometry) Simplex Simplicial complex Smoothness Special case Submanifold Subset Tangent bundle Tangent vector Theorem Thickness (graph theory) Topological manifold Topology Trigonometric functions Unit cube Word problem (mathematics) |
| ISBN | 1-4008-8265-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Chapter I. Differentiable Manifolds -- Chapter II. Triangulations of Differentiable Manifolds -- References -- Index of terms -- Backmatter |
| Record Nr. | UNINA-9910154744903321 |
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Munkres James R.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
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Astala Kari <1953->
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| Princeton, : Princeton University Press, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / / Phillip A. Griffiths
| Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / / Phillip A. Griffiths |
| Autore | Griffiths Phillip A. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (112 pages) : illustrations |
| Disciplina | 515/.9 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Holomorphic mappings |
| Soggetto non controllato |
Algebraic variety
Analytic function Analytic set Armand Borel Big O notation Canonical bundle Cartesian coordinate system Characteristic function (probability theory) Characterization (mathematics) Chern class Compact Riemann surface Compact space Complex analysis Complex manifold Complex projective space Corollary Counting Curvature Degeneracy (mathematics) Derivative Differential form Dimension Divisor Elementary proof Entire function Equation Exponential growth Gaussian curvature Hermann Weyl Hodge theory Holomorphic function Hyperplane Hypersurface Infinite product Integral geometry Invariant measure Inverse problem Jacobian matrix and determinant Kähler manifold Line bundle Linear equation Logarithmic derivative Manifold Meromorphic function Modular form Monograph Nevanlinna theory Nonlinear system Phillip Griffiths Picard theorem Polynomial Projective space Q.E.D. Quantity Ricci curvature Riemann sphere Scientific notation Several complex variables Special case Stokes' theorem Subset Summation Theorem Theory Uniformization theorem Unit square Volume form |
| ISBN | 1-4008-8148-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INDEX OF NOTATIONS -- INTRODUCTION -- CHAPTER 1. ORDERS OF GROWTH -- CHAPTER 2. THE APPEARANCE OF CURVATURE -- CHAPTER 3. THE DEFECT RELATIONS -- BIBLIOGRAPHY -- Backmatter |
| Record Nr. | UNINA-9910154753903321 |
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Griffiths Phillip A.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130) / / Andrea Ratto, James Eells
| Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 : Methods of Ordinary Differential Equations Applied to Elliptic Variational Problems. (AM-130) / / Andrea Ratto, James Eells |
| Autore | Eells James |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (235 pages) : illustrations |
| Disciplina | 514/.7 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Harmonic maps
Immersions (Mathematics) Differential equations, Elliptic - Numerical solutions |
| Soggetto non controllato |
Arc length
Catenary Clifford algebra Codimension Coefficient Compact space Complex projective space Connected sum Constant curvature Corollary Covariant derivative Curvature Cylinder (geometry) Degeneracy (mathematics) Diagram (category theory) Differential equation Differential geometry Elliptic partial differential equation Embedding Energy functional Equation Existence theorem Existential quantification Fiber bundle Gauss map Geometry and topology Geometry Gravitational field Harmonic map Hyperbola Hyperplane Hypersphere Hypersurface Integer Iterative method Levi-Civita connection Lie group Mathematics Maximum principle Mean curvature Normal (geometry) Numerical analysis Open set Ordinary differential equation Parabola Quadratic form Sign (mathematics) Special case Stiefel manifold Submanifold Suggestion Surface of revolution Symmetry Tangent bundle Theorem Vector bundle Vector space Vertical tangent Winding number |
| ISBN | 1-4008-8250-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- INTRODUCTION -- TABLE OF CONTENTS -- PART 1. BASIC VARIATIONAL AND GEOMETRICAL PROPERTIES -- PART 2. G-INVARIANT MINIMAL AND CONSTANT MEAN CURVATURE IMMERSIONS -- PART 3. HARMONIC MAPS BETWEEN SPHERES -- APPENDIX 1. SECOND VARIATIONS -- APPENDIX 2. RIEMANNIAN IMMERSIONS Sm → Sn -- APPENDIX 3. MINIMAL GRAPHS AND PENDENT DROPS -- APPENDIX 4. FURTHER ASPECTS OF PENDULUM TYPE EQUATIONS -- REFERENCES -- INDEX |
| Record Nr. | UNINA-9910154754703321 |
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Eells James
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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