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An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18 / / Clifford Truesdell
| An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18 / / Clifford Truesdell |
| Autore | Truesdell Clifford |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (197 pages) : illustrations |
| Disciplina | 517.5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Functional equations |
| Soggetto non controllato |
Addition
Antiderivative Asymptotic formula Bessel function Beta function Boundary value problem Change of variables Closed-form expression Coefficient Combination Continuous function Corollary Differential equation Enumeration Equation Existential quantification Explicit formula Exponential function Factorial Function (mathematics) Functional equation Hermite polynomials Hypergeometric function Integer Laguerre polynomials Laplace transform Legendre function Linear difference equation Linear differential equation Mathematical induction Mathematician Monomial Natural number Number theory Ordinary differential equation Parameter Periodic function Polygamma function Polynomial Potential theory Power series Rectangle Recurrence relation Remainder Scientific notation Sequent Simple function Singular solution Special case Special functions Summation Theorem Theory Uniqueness theorem Variable (mathematics) Without loss of generality |
| ISBN | 1-4008-8237-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | PREFACE -- TABLE OF CONTENTS -- Chapter I. The Object and Plan of This Essay -- Chapter II. Reduction to The F-Equation -- Chapter III. Existence and Uniqueness Theorems -- Chapter IV. Methods of Treating Special Functions Based on The Uniqueness Theorem for The Condition F(z, αO) = ψ (z) -- Chapter V. Remarks on Solutions Such That F(z, αO) = ψ (z) -- Chapter VI. Conclusions and Unsolved Problems -- Appendix I. Special Functions -- Appendix II. Operators -- Appendix III. Examples of Equations of Type (3-4) Not Reducible to The F-Equation -- Bibliography |
| Record Nr. | UNINA-9910154746503321 |
Truesdell Clifford
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Existence Theorems in Partial Differential Equations. (AM-23), Volume 23 / / Dorothy L. Bernstein
| Existence Theorems in Partial Differential Equations. (AM-23), Volume 23 / / Dorothy L. Bernstein |
| Autore | Bernstein Dorothy L. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (245 pages) |
| Disciplina | 517.38 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Differential equations, Partial
Existence theorems |
| Soggetto non controllato |
0O
3N Addition Analytic function Applied mathematics Big O notation Biharmonic equation Boundary value problem C0 Calculation Cartesian coordinate system Cauchy problem Characteristic equation Closed-form expression Coefficient Computation Computational problem Constructive proof Continuous function (set theory) Continuous function Convex set Coordinate system Derivative Determination Differential equation Dirichlet problem Elliptic partial differential equation Empty set Equation Existence theorem Existential quantification Explicit formulae (L-function) Exterior (topology) Finite difference Flattening Formal scheme Fourier transform Fundamental solution Geometry Green's function Harmonic function Implicit function theorem Implicit function Improper integral Initial value problem Integral equation Interval (mathematics) Laplace transform Limit of a sequence Linear combination Linear differential equation Linear equation Mathematician Method of characteristics Nonlinear system Numerical analysis Ordinary differential equation Parameter Partial derivative Partial differential equation Pessimism Plane curve Power series Probability of success Probability Pure mathematics Radius of convergence Real number Real variable Requirement Scientific notation Second derivative Series (mathematics) Simultaneous equations Special case Terminology Theorem Theory Three-dimensional space (mathematics) Truncation error Uniform convergence Upper and lower bounds Variable (mathematics) |
| ISBN | 1-4008-8222-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Foreword / Engstrom, H. T. -- Preface / Tompkins, C. -- Table of Contents -- Annals of Mathematics Studies -- I. Introduction -- II. The Initial Value Problem and the Problem of Cauchy for First Order Differential Equations -- III. Second Order Differential Equations -- IV. Partial Differential Equations of Order n > 2 -- Bibliography |
| Record Nr. | UNINA-9910154748303321 |
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Bernstein Dorothy L.
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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 Micro-Local Analysis. (AM-93), Volume 93 / / Victor Guillemin, Masaki Kashiwara, Takahiro Kawai
| Seminar on Micro-Local Analysis. (AM-93), Volume 93 / / Victor Guillemin, Masaki Kashiwara, Takahiro Kawai |
| Autore | Guillemin Victor |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (148 pages) |
| Disciplina | 515 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Mathematical analysis |
| Soggetto non controllato |
Addition
Analytic function Analytic manifold Asymptotic analysis Bernhard Riemann Boundary value problem Bounded operator Cartan subgroup Characterization (mathematics) Class function (algebra) Closed-form expression Codimension Cohomology Compact space Comparison theorem Contact geometry Continuous function Continuous linear operator Convex hull Cotangent bundle D-module Degenerate bilinear form Diagonal matrix Differentiable manifold Differential operator Dimension (vector space) Dimension Elliptic partial differential equation Equation Existence theorem Fourier integral operator Generic point Group theory Harmonic analysis Holomorphic function Holonomic Homogeneous space Hyperfunction Hypersurface Identity element Irreducible representation Killing form Lagrangian (field theory) Lie algebra Lie group Linear differential equation Locally compact space Masaki Kashiwara Maximal ideal Monodromy Natural number Neighbourhood (mathematics) Ordinary differential equation Orthogonal complement Partial differential equation Path integral formulation Proper map Pseudo-differential operator Regularity theorem Sigurdur Helgason (mathematician) Submanifold Subset Summation Symmetric space Symplectic geometry Tangent cone Theorem Topological space Vector bundle Victor Guillemin Weyl group |
| ISBN | 1-4008-8157-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- PREFACE -- INTRODUCTION TO THE THEORY OF HYPERFUNCTIONS / Kashiwara, Masaki -- SOME APPLICATIONS OF BOUNDARY VALUE PROBLEMS FOR ELLIPTIC SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS / Kashiwara, Masaki / Kawai, Takahiro -- A SZEGO-TYPE THEOREM FOR SYMMETRIC SPACES / Guillemin, Victor -- SOME MICRO-LOCAL ASPECTS OF ANALYSIS ON COMPACT SYMMETRIC SPACES / Guillemin, Victor -- ON HOLONOMIC SYSTEMS WITH REGULAR SINGULARITIES / Kashiwara, Masaki / Kawai, Takahiro -- MICRO-LOCAL ANALYSIS OF FEYNMAN AMPLITUDES / Kashiwara, Masaki / Kawai, Takahiro -- Backmatter |
| Record Nr. | UNINA-9910154746003321 |
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Guillemin Victor
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Theory of Formal Systems. (AM-47), Volume 47 / / Raymond M. Smullyan
| Theory of Formal Systems. (AM-47), Volume 47 / / Raymond M. Smullyan |
| Autore | Smullyan Raymond M. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (157 pages) : illustrations |
| Disciplina | 511.33 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Recursive functions
Metamathematics |
| Soggetto non controllato |
Addition
Algebraic geometry Alonzo Church Arithmetic function Arithmetic Atomic sentence Axiom A. Axiom schema Axiom Axiomatic system Binary relation Cantor's diagonal argument Cartesian product Characterization (mathematics) Chinese remainder theorem Closed-form expression Closure (mathematics) Combination Combinatory logic Complement (set theory) Concatenation theory Consistency Constructive proof Corollary Countable set Counterexample Decidability (logic) Decision problem Definable set Diagonalization Direct proof Disjoint sets Enumeration Equation Existential quantification Exponential function Finite set Formal system Functional calculus Gödel numbering Gödel's incompleteness theorems Herbrand's theorem Inference Integer factorization Iteration John Myhill Logical connective Logical consequence Mathematical induction Mathematical logic Mathematician Mathematics Metamathematics Modus ponens Natural number Negation Number theory Order theory Parity (mathematics) Peano axioms Predicate (mathematical logic) Prenex normal form Primitive recursive function Quantifier (logic) Recursion Recursive set Recursively enumerable set Remainder Requirement Rule of inference Scientific notation Sequence Set (mathematics) Sign (mathematics) Special case Subset Suggestion System U. Theorem Theory Transfinite number Turing machine Universal set Validity Variable (mathematics) Zermelo set theory |
| ISBN | 1-4008-8200-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- PREFACE -- ANNALS OF MATHEMATICS STUDIES -- CHAPTER I: FORMAL MATHEMATICAL SYSTEMS -- CHAPTER II: FORMAL REPRESENTABILITY AND RECURSIVE ENUMERABILITY -- CHAPTER III: INCOMPLETENESS -AND UNDECIDABILITY -- CHAPTER IV: RECURSIVE FUNCTION THEORY -- CHAPTER V: CREATIVITY AND EFFECTIVE INSEPARABILITY -- SUPPLEMENT: APPLICATIONS TO MATHEMATICAL LOGIC -- REFERENCE AND BRIEF BIBLIOGRAPHY |
| Record Nr. | UNINA-9910154750903321 |
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Smullyan Raymond M.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| 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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