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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
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Generalized Feynman Amplitudes. (AM-62), Volume 62 / / Eugene R. Speer
| Generalized Feynman Amplitudes. (AM-62), Volume 62 / / Eugene R. Speer |
| Autore | Speer Eugene R. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (233 pages) |
| Disciplina | 530.14/3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Mathematical physics
Quantum field theory |
| Soggetto non controllato |
Addition
Adjoint Amplitude Analytic continuation Analytic function Antiparticle C-number Calculation Change of variables Classical electromagnetism Coefficient Commutative property Compact space Complex analysis Complex number Connectivity (graph theory) Constant term Convolution Derivative Diagram (category theory) Differentiable function Distribution (mathematics) Equation Estimation Explicit formulae (L-function) Fermion Fock space Formal power series Fourier transform Free field Gauge theory Graph theory Hilbert space Incidence matrix Interaction picture Invertible matrix Irreducibility (mathematics) Isolated singularity Lagrangian (field theory) Laurent series Mathematical induction Mathematics Momentum Monomial Multiple integral National Science Foundation Notation Parameter Path integral formulation Permutation Polynomial Power series Probability Propagator Quadratic form Quantity Quantum field theory Remainder Renormalization Requirement S-matrix Scattering amplitude Scientific notation Second quantization Several complex variables Simple extension Special case Subset Subtraction Suggestion Summation Taylor series Tensor product Theorem Theory Topological space Translational symmetry Tree (data structure) Uniform convergence Vacuum expectation value Vacuum state Vacuum Variable (mathematics) Vector field Vector potential Wick's theorem Z0 |
| ISBN | 1-4008-8186-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Acknowledgements -- Abstract -- tables of contents -- Introductions -- CHAPTER I. Renormalization in Lagrangian Field Theory -- CHAPTER II. Definition of Generalized Amplitudes -- CHAPTER III. Analytic Renormalization -- CHAPTER IV. Summation of Feynman Amplitudes -- CONCLUSION -- APPENDIX A. Graphs -- APPENDIX B. Distributions -- APPENDIX C. The Free Field -- BIBLIOGRAPHY |
| Record Nr. | UNINA-9910154752403321 |
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Speer Eugene R.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Lectures on resolution of singularities [[electronic resource] /] / János Kollár
| Lectures on resolution of singularities [[electronic resource] /] / János Kollár |
| Autore | Kollár János |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2007 |
| Descrizione fisica | 1 online resource (215 p.) |
| Disciplina | 516.3/5 |
| Collana | Annals of mathematics studies |
| Soggetto topico | Singularities (Mathematics) |
| Soggetto non controllato |
Adjunction formula
Algebraic closure Algebraic geometry Algebraic space Algebraic surface Algebraic variety Approximation Asymptotic analysis Automorphism Bernhard Riemann Big O notation Birational geometry C0 Canonical singularity Codimension Cohomology Commutative algebra Complex analysis Complex manifold Computability Continuous function Coordinate system Diagram (category theory) Differential geometry of surfaces Dimension Divisor Du Val singularity Dual graph Embedding Equation Equivalence relation Euclidean algorithm Factorization Functor General position Generic point Geometric genus Geometry Hyperplane Hypersurface Integral domain Intersection (set theory) Intersection number (graph theory) Intersection theory Irreducible component Isolated singularity Laurent series Line bundle Linear space (geometry) Linear subspace Mathematical induction Mathematics Maximal ideal Morphism Newton polygon Noetherian ring Noetherian Open problem Open set P-adic number Pairwise Parametric equation Partial derivative Plane curve Polynomial Power series Principal ideal Principalization (algebra) Projective space Projective variety Proper morphism Puiseux series Quasi-projective variety Rational function Regular local ring Resolution of singularities Riemann surface Ring theory Ruler Scientific notation Sheaf (mathematics) Singularity theory Smooth morphism Smoothness Special case Subring Summation Surjective function Tangent cone Tangent space Tangent Taylor series Theorem Topology Toric variety Transversal (geometry) Variable (mathematics) Weierstrass preparation theorem Weierstrass theorem Zero set |
| ISBN |
1-282-15774-4
9786612157745 1-4008-2780-9 |
| Classificazione | SK 240 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Resolution for Curves -- Chapter 2. Resolution for Surfaces -- Chapter 3. Strong Resolution in Characteristic Zero -- Bibliography -- Index |
| Record Nr. | UNINA-9910778222903321 |
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Kollár János
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| Princeton, N.J., : Princeton University Press, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Normal Two-Dimensional Singularities. (AM-71), Volume 71 / / Henry B. Laufer
| Normal Two-Dimensional Singularities. (AM-71), Volume 71 / / Henry B. Laufer |
| Autore | Laufer Henry B. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (177 pages) : illustrations |
| Disciplina | 515/.92/23 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Analytic spaces
Singularities (Mathematics) |
| Soggetto non controllato |
Analytic function
Analytic set Analytic space Automorphism Bernhard Riemann Big O notation Calculation Chern class Codimension Coefficient Cohomology Compact Riemann surface Complex manifold Computation Connected component (graph theory) Continuous function Contradiction Coordinate system Corollary Covering space Dimension Disjoint union Divisor Dual graph Elliptic curve Elliptic function Embedding Existential quantification Factorization Fiber bundle Finite set Formal power series Hausdorff space Holomorphic function Homeomorphism Homology (mathematics) Intersection (set theory) Intersection number (graph theory) Inverse limit Irreducible component Isolated singularity Iteration Lattice (group) Line bundle Linear combination Line–line intersection Local coordinates Local ring Mathematical induction Maximal ideal Meromorphic function Monic polynomial Nilpotent Normal bundle Open set Parameter Plane curve Pole (complex analysis) Power series Presheaf (category theory) Projective line Quadratic transformation Quantity Riemann surface Riemann–Roch theorem Several complex variables Submanifold Subset Tangent bundle Tangent space Tensor algebra Theorem Topological space Transition function Two-dimensional space Variable (mathematics) Zero divisor Zero of a function Zero set |
| ISBN | 1-4008-8174-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- INTRODUCTION -- CONTENTS -- CHAPTER I. RESOLUTION OF PLANE CURVE SINGULARITIES -- CHAPTER II. RESOLUTION OF SINGULARITIES OF TWO-DIMENSIONAL ANALYTIC SPACES -- CHAPTER III. NORMALIZATION OF TWO-DIMENSIONAL ANALYTIC SPACES -- CHAPTER IV. EXCEPTIONAL SETS -- CHAPTER V. MINIMAL RESOLUTIONS -- CHAPTER VI. EQUIVALENCE OF EMBEDDINGS -- CHAPTER VII. THE LOCAL RING STRUCTURE -- BIBLIOGRAPHY -- INDEX |
| Record Nr. | UNINA-9910154751503321 |
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Laufer Henry B.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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On Knots. (AM-115), Volume 115 / / Louis H. Kauffman
| On Knots. (AM-115), Volume 115 / / Louis H. Kauffman |
| Autore | Kauffman Louis H. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (497 pages) : illustrations |
| Disciplina | 514/.224 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Knot theory |
| Soggetto non controllato |
3-sphere
Addition theorem Addition Alexander polynomial Algebraic variety Algorithm Ambient isotopy Arf invariant Basepoint Bijection Bilinear form Borromean rings Bracket polynomial Braid group Branched covering Chiral knot Chromatic polynomial Cobordism Codimension Combination Combinatorics Complex analysis Concentric Conjecture Connected sum Conway polynomial (finite fields) Counting Covering space Cyclic group Dense set Determinant Diagram (category theory) Diffeomorphism Dimension Disjoint union Disk (mathematics) Dual graph Elementary algebra Embedding Enumeration Existential quantification Exotic sphere Fibration Formal power series Fundamental group Geometric topology Geometry and topology Geometry Group action Homotopy Integer Intersection form (4-manifold) Isolated singularity Jones polynomial Knot complement Knot group Knot theory Laws of Form Lens space Linking number Manifold Module (mathematics) Morwen Thistlethwaite Normal bundle Notation Obstruction theory Operator algebra Pairing Parity (mathematics) Partition function (mathematics) Planar graph Point at infinity Polynomial ring Polynomial Quantity Rectangle Reidemeister move Remainder Root of unity Saddle point Seifert surface Singularity theory Slice knot Special case Statistical mechanics Substructure Summation Symmetry Theorem Three-dimensional space (mathematics) Topological space Torus knot Trefoil knot Tubular neighborhood Underpinning Unknot Variable (mathematics) Whitehead link Wild knot Writhe |
| ISBN | 1-4008-8213-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- I. INTRODUCTION -- II. LINKING NUMBERS AND REIDEMEISTER MOVES -- III. THE CONWAY POLYNOMIAL -- IV. EXAMPLE S AND SKEIN THEORY -- V. DETECTING SLICES AND RIBBONS- A FIRST PASS -- VI. MISCELLANY -- VII. SPANNING SURFACES AND THE SEIFERT PAIRING -- VIII. RIBBONS AND SLICES -- IX. THE ALEXANDER POLYNOMIAL AND BRANCHED COVERINGS -- X. THE ALEXANDER POLYNOMIAL AND THE ARF INVARIANT -- XI. FREE DIFFERENTIAL CALCULUS -- XII. CYCLIC BRANCHED COVERINGS -- XIII. SIGNATURE THEOREMS -- XIV. G-SIGNATURE THEOREM FOR FOUR MANIFOLDS -- XV. SIGNATURE OF CYCLIC BRANCHED COVERINGS -- XVI. AN INVARIANT FOR COVERINGS -- XVII. SLICE KNOTS -- XVIII. CALCULATING σr FOR GENERALIZED STEVEDORE'S KNOT -- XIX. SINGULARITIES, KNOTS AND BRIESKORN VARIETIES -- APPENDIX. GENERALIZED POLYNOMIALS AND A STATE MODEL FOR THE JONES POLYNOMIAL -- KNOT TABLES AND THE L-POLYNOMIAL -- REFERENCES |
| Record Nr. | UNINA-9910154751303321 |
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Kauffman Louis H.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Seminar on minimal submanifolds / / edited by Enrico Bombieri
| Seminar on minimal submanifolds / / edited by Enrico Bombieri |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , 1983 |
| Descrizione fisica | 1 online resource (368 pages) : illustrations |
| Disciplina | 516.3/6 |
| Collana | Annals of mathematics studies |
| Soggetto topico | Minimal submanifolds |
| Soggetto non controllato |
A priori estimate
Analytic function Banach space Boundary (topology) Boundary value problem Bounded set (topological vector space) Branch point Cauchy–Riemann equations Center manifold Closed geodesic Codimension Coefficient Cohomology Compactness theorem Comparison theorem Configuration space Conformal geometry Conformal group Conformal map Continuous function Cross product Curve Degeneracy (mathematics) Diffeomorphism Differential form Dirac operator Discrete group Divergence theorem Eigenvalues and eigenvectors Elementary proof Equation Existence theorem Existential quantification Exterior derivative First variation Free boundary problem Fundamental group Gauss map Geodesic Geometry Group action Hamiltonian mechanics Harmonic function Harmonic map Hausdorff dimension Hausdorff measure Homotopy group Homotopy Hurewicz theorem Hyperbolic 3-manifold Hyperbolic manifold Hyperbolic space Hypersurface Implicit function theorem Infimum and supremum Injective function Inner automorphism Isolated singularity Isometry group Isoperimetric problem Klein bottle Kleinian group Limit set Lipschitz continuity Mapping class group Maxima and minima Maximum principle Minimal surface of revolution Minimal surface Monotonic function Möbius transformation Norm (mathematics) Orthonormal basis Parametric surface Periodic function Poincaré conjecture Projection (linear algebra) Regularity theorem Riemann surface Riemannian manifold Schwarz reflection principle Second fundamental form Semi-continuity Simply connected space Special case Stein's lemma Subalgebra Subgroup Submanifold Subsequence Support (mathematics) Symplectic manifold Tangent space Teichmüller space Theorem Trace (linear algebra) Uniformization Uniqueness theorem Variational principle Yamabe problem |
| ISBN | 1-4008-8143-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- INTRODUCTION -- SURVEY LECTURES ON MINIMAL SUBMANIFOLDS -- ON THE EXISTENCE OF SHORT CLOSED GEODESICS AND THEIR STABILITY PROPERTIES -- EXISTENCE OF PERIODIC MOTIONS OF CONSERVATIVE SYSTEMS -- ARE HARMONICALLY IMMERSED SURFACES AT ALL LIKE MINIMALLY IMMERSED SURFACES? -- ESTIMATES FOR STABLE MINIMAL SURFACE S IN THREE DIMENSIONAL MANIFOLDS -- REGULARITY OF SIMPLY CONNECTED SURFACES WITH QUASICONFORMAL GAUSS MAP -- CLOSED MINIMAL SURFACES IN H Y PER BOLIC 3-MANIFOLDS -- MINIMAL SPHERES AND OTHER CONFORMAL VARIATIONAL PROBLEMS -- MINIMAL HYPERSURFACES OF SPHERES WITH CONS TANT SCALAR CURVATURE -- REGULAR MINIMAL HY PERSURF ACES EXIST ON MANIFOLDS IN DIMENSIONS UP TO SIX -- AFFINE MINIMAL SURFACES -- THE MINIMAL VARIETIES ASSOCIATED TO A CLOSED FORM -- NECESSARY CONDITIONS FOR SUBMANIFOLDS AND CURRENTS WITH PRESCRIBED MEAN CURVATURE VECTOR -- APPROXIMATION OF RECTIFIABLE CURRENTS BY LIPSCHITZ Q VALUED FUNCTIONS -- SIMPLE CLOSED GEODESICS ON OVALOIDS AND THE CALCULUS OF VARIATIONS -- ON THE GEHRING LINK PROBLEM -- CONSTRUCTING CRYSTALLIN E MINIMAL SURFACES -- REGULARITY OF AREA-MINIMIZING HYPERSURFACES AT BOUNDARIES WITH MULTIPLICITY -- NEW METHODS IN THE STUDY OF FREE BOUNDARY PROBLEMS -- SOME PROPERTIES OF CAPILLARY FREE SURFACE -- BERNSTEIN CONJECTURE IN HYPERBOLIC GEOMETRY -- Backmatter |
| Record Nr. | UNINA-9910154753403321 |
| Princeton, NJ : , : Princeton University Press, , 1983 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 / / David Eisenbud, Walter D. Neumann
| Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 / / David Eisenbud, Walter D. Neumann |
| Autore | Eisenbud David |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (184 pages) : illustration |
| Disciplina | 514.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Link theory
Invariants Curves, Plane Singularities (Mathematics) |
| Soggetto non controllato |
3-sphere
Alexander Grothendieck Alexander polynomial Algebraic curve Algebraic equation Algebraic geometry Algebraic surface Algorithm Ambient space Analytic function Approximation Big O notation Call graph Cartesian coordinate system Characteristic polynomial Closed-form expression Cohomology Computation Conjecture Connected sum Contradiction Coprime integers Corollary Curve Cyclic group Determinant Diagram (category theory) Diffeomorphism Dimension Disjoint union Eigenvalues and eigenvectors Equation Equivalence class Euler number Existential quantification Exterior (topology) Fiber bundle Fibration Foliation Fundamental group Geometry Graph (discrete mathematics) Ground field Homeomorphism Homology sphere Identity matrix Integer matrix Intersection form (4-manifold) Isolated point Isolated singularity Jordan normal form Knot theory Mathematical induction Monodromy matrix Monodromy N-sphere Natural transformation Newton polygon Newton's method Normal (geometry) Notation Pairwise Parametrization Plane curve Polynomial Power series Projective plane Puiseux series Quantity Rational function Resolution of singularities Riemann sphere Riemann surface Root of unity Scientific notation Seifert surface Set (mathematics) Sign (mathematics) Solid torus Special case Stereographic projection Submanifold Summation Theorem Three-dimensional space (mathematics) Topology Torus knot Torus Tubular neighborhood Unit circle Unit vector Unknot Variable (mathematics) |
| ISBN | 1-4008-8192-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Abstract -- Three-Dimensional Link Theory and Invariants of Plane Curve Singularities -- Introduction -- Review -- Preview -- Chapter I: Foundations -- Appendix to Chapter I: Algebraic Links -- Chapter II: Classification -- Chapter III: Invariants -- Chapter IV: Examples -- Chapter V: Relation to Plumbing -- References -- Backmatter |
| Record Nr. | UNINA-9910154742903321 |
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Eisenbud David
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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