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Contributions to the Theory of Nonlinear Oscillations (AM-20), Volume I / / Solomon Lefschetz
Contributions to the Theory of Nonlinear Oscillations (AM-20), Volume I / / Solomon Lefschetz
Autore Lefschetz Solomon
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (365 pages) : illustrations
Disciplina 531.3
Collana Annals of Mathematics Studies
Soggetto topico Oscillations
Soggetto non controllato Absolute value
Addition
Algebraic equation
Amplitude modulation
Angular frequency
Applied mathematics
Approximation
Boundary value problem
Coefficient
Complex analysis
Continuous function
Contradiction
Curve
Diagram (category theory)
Differential equation
Dimensionless quantity
Discriminant
Eigenvalues and eigenvectors
Empty set
Equation
Experiment
Fourier
Frequency modulation
Homotopy
Implicit function theorem
Initial condition
Integer
Integral equation
Limit point
Linear map
Nonlinear system
Normal (geometry)
Notation
Operator theory
Ordinary differential equation
Oscillation
Parameter
Periodic function
Phase space
Pure mathematics
Quantity
Rational function
Saddle point
Second derivative
Simply connected space
Singular perturbation
Solid torus
Special case
Suggestion
Summation
Tangent space
Theorem
Theory
Three-dimensional space (mathematics)
Topology
Two-dimensional space
Uniqueness
Vacuum tube
Variable (mathematics)
Vector field
ISBN 1-4008-8263-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- I. ON SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS / Diliberto, Stephen P. -- II. OSCILLATION OF A THIRD ORDER NONLINEAR AUTONOMOUS SYSTEM / Rauch, Lawrence Lee -- III. NON-LINEAR DELAY DIFFERENTIAL EQUATIONS / Brownell, F. H. -- IV. FORCED OSCILLATIONS IN NONLINEAR SYSTEMS / Cartwright, M. L. -- V. SINGULAR PERTURBATIONS OF A VAN DER POL EQUATION / Wendel, James G. -- VI. THE EXISTENCE OF FORCED PERIODIC SOLUTIONS OF SECOND ORDER DIFFERENTIAL EQUATIONS NEAR CERTAIN EQUILIBRIUM POINTS OF THE UNFORCED EQUATION / Langenhop, C. E. / Farnell, A. B. -- VII. ON THE CONSTRUCTION OF PERIODIC SOLUTIONS OF SINGULAR PERTURBATION PROBLEMS / Wasow, Wolfgang
Record Nr. UNINA-9910154745203321
Lefschetz Solomon  
Princeton, NJ : , : Princeton University Press, , [2016]
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Degree of Approximation by Polynomials in the Complex Domain. (AM-9), Volume 9 / / Walter Edwin Sewell
Degree of Approximation by Polynomials in the Complex Domain. (AM-9), Volume 9 / / Walter Edwin Sewell
Autore Sewell Walter Edwin
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (252 pages)
Disciplina 512.22
Collana Annals of Mathematics Studies
Soggetto topico Approximation theory
Polynomials
Soggetto non controllato 0B
Addition
Antiderivative
Approximation
Arbitrarily large
Arc (geometry)
Arc length
Big O notation
Bijection
Bounded set (topological vector space)
Branch point
Circumference
Coefficient
Complex analysis
Complex number
Conformal map
Connected space
Constant of integration
Continuous function
Covering space
Derivative
Difference "ient
Differentiable function
Dimension
Elementary proof
Equation
Even and odd functions
Existence theorem
Existential quantification
Exterior (topology)
Floor and ceiling functions
Fourier series
Function of a real variable
Geometry
Green's function
Harmonic function
Harmonic polynomial
Infimum and supremum
Infinitesimal
Integer
Isolated point
Isolated singularity
Iterative method
Jordan curve theorem
Least squares
Lebesgue integration
Lemniscate
Limit (mathematics)
Line integral
Line segment
Lipschitz continuity
Logarithm
Mathematician
Modulus of continuity
Natural number
Notation
Open problem
Orthogonal polynomials
Partial derivative
Periodic function
Point at infinity
Polynomial
Rational function
Real variable
Rectangle
Requirement
Riemann sum
Root of unity
Second derivative
Set theory
Sign (mathematics)
Simply connected space
Special case
Suggestion
Summation
Surface integral
Taylor series
Theorem
Theory
Trigonometric functions
Trigonometry
Uniform convergence
Unit circle
Upper and lower bounds
Variable (mathematics)
Weight function
ISBN 1-4008-8221-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface -- Contents -- Chapter I. Preliminaries -- Part I. Problem α -- Chapter II. Polynomial Inequalities -- Chapter III. Tchebycheff Approximation -- Chapter IV. Approximation Measured by a Line Integral -- Part II. Problem β -- Chapter V. Preliminaries -- Chapter VI. Tchebycheff Approximation -- Chapter VII. Approximation Measured by a Line Integral -- Chapter VIII. Special Configurations -- Bibliography
Record Nr. UNINA-9910154748503321
Sewell Walter Edwin  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
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Dynamics in one complex variable [[electronic resource] /] / by John Milnor
Dynamics in one complex variable [[electronic resource] /] / by John Milnor
Autore Milnor John W (John Willard), <1931->
Edizione [3rd ed.]
Pubbl/distr/stampa Princeton, N.J., : Princeton University Press, 2006
Descrizione fisica 1 online resource (313 p.)
Disciplina 515.93
515/.93
Collana Annals of mathematics studies
Soggetto topico Functions of complex variables
Holomorphic mappings
Riemann surfaces
Soggetto non controllato Absolute value
Addition
Algebraic equation
Attractor
Automorphism
Beltrami equation
Blaschke product
Boundary (topology)
Branched covering
Coefficient
Compact Riemann surface
Compact space
Complex analysis
Complex number
Complex plane
Computation
Connected component (graph theory)
Connected space
Constant function
Continued fraction
Continuous function
Coordinate system
Corollary
Covering space
Cross-ratio
Derivative
Diagram (category theory)
Diameter
Diffeomorphism
Differentiable manifold
Disjoint sets
Disjoint union
Disk (mathematics)
Division by zero
Equation
Euler characteristic
Existential quantification
Exponential map (Lie theory)
Fundamental group
Harmonic function
Holomorphic function
Homeomorphism
Hyperbolic geometry
Inequality (mathematics)
Integer
Inverse function
Irrational rotation
Iteration
Jordan curve theorem
Julia set
Lebesgue measure
Lecture
Limit point
Line segment
Linear map
Linearization
Mandelbrot set
Mathematical analysis
Maximum modulus principle
Metric space
Monotonic function
Montel's theorem
Normal family
Open set
Orbifold
Parameter space
Parameter
Periodic point
Point at infinity
Polynomial
Power series
Proper map
Quadratic function
Rational approximation
Rational function
Rational number
Real number
Riemann sphere
Riemann surface
Root of unity
Rotation number
Schwarz lemma
Scientific notation
Sequence
Simply connected space
Special case
Subgroup
Subsequence
Subset
Summation
Tangent space
Theorem
Topological space
Topology
Uniform convergence
Uniformization theorem
Unit circle
Unit disk
Upper half-plane
Winding number
ISBN 1-283-00148-9
9786613001481
1-4008-3553-4
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Table Of Contents -- List of Figures -- Preface to the Third Edition -- Chronological Table -- Riemann Surfaces -- Iterated Holomorphic Maps -- Local Fixed Point Theory -- Periodic Points: Global Theory -- Structure of the Fatou Set -- Using the Fatou Set to Study the Julia Set -- Appendix A. Theorems from Classical Analysis -- Appendix B. Length-Area-Modulus Inequalities -- Appendix C. Rotations, Continued Fractions, and Rational Approximation -- Appendix D. Two or More Complex Variables -- Appendix E. Branched Coverings and Orbifolds -- Appendix F. No Wandering Fatou Components -- Appendix G. Parameter Spaces -- Appendix H. Computer Graphics and Effective Computation -- References -- Index
Record Nr. UNINA-9910791879203321
Milnor John W (John Willard), <1931->  
Princeton, N.J., : Princeton University Press, 2006
Materiale a stampa
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An Introduction to G-Functions. (AM-133), Volume 133 / / Bernard Dwork, Francis J. Sullivan, Giovanni Gerotto
An Introduction to G-Functions. (AM-133), Volume 133 / / Bernard Dwork, Francis J. Sullivan, Giovanni Gerotto
Autore Dwork Bernard
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (349 pages) : illustrations
Disciplina 515/.55
Collana Annals of Mathematics Studies
Soggetto topico H-functions
p-adic analysis
Soggetto non controllato Adjoint
Algebraic Method
Algebraic closure
Algebraic number field
Algebraic number theory
Algebraic variety
Algebraically closed field
Analytic continuation
Analytic function
Argument principle
Arithmetic
Automorphism
Bearing (navigation)
Binomial series
Calculation
Cardinality
Cartesian coordinate system
Cauchy sequence
Cauchy's theorem (geometry)
Coefficient
Cohomology
Commutative ring
Complete intersection
Complex analysis
Conjecture
Density theorem
Differential equation
Dimension (vector space)
Direct sum
Discrete valuation
Eigenvalues and eigenvectors
Elliptic curve
Equation
Equivalence class
Estimation
Existential quantification
Exponential function
Exterior algebra
Field of fractions
Finite field
Formal power series
Fuchs' theorem
G-module
Galois extension
Galois group
General linear group
Generic point
Geometry
Hypergeometric function
Identity matrix
Inequality (mathematics)
Intercept method
Irreducible element
Irreducible polynomial
Laurent series
Limit of a sequence
Linear differential equation
Lowest common denominator
Mathematical induction
Meromorphic function
Modular arithmetic
Module (mathematics)
Monodromy
Monotonic function
Multiplicative group
Natural number
Newton polygon
Number theory
P-adic number
Parameter
Permutation
Polygon
Polynomial
Projective line
Q.E.D.
Quadratic residue
Radius of convergence
Rational function
Rational number
Residue field
Riemann hypothesis
Ring of integers
Root of unity
Separable polynomial
Sequence
Siegel's lemma
Special case
Square root
Subring
Subset
Summation
Theorem
Topology of uniform convergence
Transpose
Triangle inequality
Unipotent
Valuation ring
Weil conjecture
Wronskian
Y-intercept
ISBN 1-4008-8254-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- CONTENTS -- PREFACE / Dwork, B. -- INTRODUCTION -- LIST OF SYMBOLS -- CHAPTER I. VALUED FIELDS -- CHAPTER II. ZETA FUNCTIONS -- CHAPTER III. DIFFERENTIAL EQUATIONS -- CHAPTER IV. EFFECTIVE BOUNDS. ORDINARY DISKS -- CHAPTER V. EFFECTIVE BOUNDS. SINGULAR DISKS -- CHAPTER VI. TRANSFER THEOREMS INTO DISKS WITH ONE SINGULARITY -- CHAPTER VII. DIFFERENTIAL EQUATIONS OF ARITHMETIC TYPE -- CHAPTER VIII. G-SERIES. THE THEOREM OF CHUDNOVSKY -- APPENDIX I. CONVERGENCE POLYGON FOR DIFFERENTIAL EQUATIONS -- APPENDIX II. ARCHIMEDEAN ESTIMATES -- APPENDIX III. CAUCHY'S THEOREM -- BIBLIOGRAPHY -- INDEX
Record Nr. UNINA-9910154744303321
Dwork Bernard  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
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Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59 / / David Mumford
Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59 / / David Mumford
Autore Mumford David
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (221 pages)
Disciplina 516.5
Collana Annals of Mathematics Studies
Soggetto topico Curves, Algebraic
Surfaces, Algebraic
Soggetto non controllato Affine space
Algebraic geometry
Algebraic topology
Algebraically closed field
Binary operation
Chern class
Coherent sheaf
Cohomology
Complex vector bundle
Dense set
Differential form
Direct product
Family of curves
Formal power series
Functor
Generic point
Group ring
Homomorphism
Invertible sheaf
Local ring
Morphism of schemes
Morphism
Nonlinear system
Open set
Pairwise
Polynomial
Power series
Projective space
Rational function
Rational point
Sheaf (mathematics)
Subring
Summation
Symmetric function
Topology
Union (set theory)
Zariski topology
Zero divisor
ISBN 1-4008-8206-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- INTRODUCTION -- CONTENTS -- LECTURE 1. RAW MATERIAL ON CURVES ON SURFACES, AND THE PROBLEMS SUGGESTED -- LECTURE 2. THE FUNDAMENTAL EXISTENCE PROBLEM AND TWO ANALYTIC PROOFS -- LECTURE 3. PRE-SCHEMES AND THEIR ASSOCIATED "FUNCTOR OF POINTS" -- LECTURE 4. USES OF THE FUNCTOR OF POINTS -- APPENDIX TO LECTURE 4. RE REPRESENTABLE FUNCTORS AND ZARISKI TANGENT SPACES -- LECTURE 5. Pro j AND INVERTIBLE SHEAVES -- APPENDIX TO LECTURE 5 -- LECTURE 6. PROPERTIES OP MORPHISMS AND SHEAVES -- LECTURE 7. RESUME OF THE COHOMOLOGY OF COHERENT SHEAVES ON Pn -- LECTURE 8. FLATTENING STRATIFICATIONS -- LECTURE 9. CARTIER DIVISORS -- LECTURE 10. FUNCTORIAL PROPERTIES OF EFFECTIVE CARTIER DIVISORS -- LECTURE 11. BACK TO THE CLASSICAL CASE -- LECTURE 12. THE OVER-ALL CLASSIFICATION OF CURVES ON SURFACES -- LECTURE 13. LINEAR SYSTEMS AND EXAMPLES -- LECTURE 14. SOME VANISHING THEOREMS -- LECTURE 15. UNIVERSAL FAMILIES OF CURVES -- LECTURE 16. THE METHOD OF CHOW SCHEMES -- LECTURE 17. GOOD CURVES -- LECTURE 18. THE INDEX THEOREM -- LECTURE 19. THE PICARD SCHEME : OUTLINE -- LECTURE 20. INDEPENDENT 0-CYCLES ON A SURFACE -- LECTURE 21. THE PICARD SCHEME: CONCLUSION -- LECTURE 22. THE CHARACTERISTIC MAP OP A FAMILY OP CURVES -- LECTURE 23. THE FUNDAMENTAL THEOREM VIA KODAIRA-SPENCER -- LECTURE 24. THE STRUCTURE OF Φ -- LECTURE 25. THE FUNDAMENTAL THEOREM VIA GROTHENDIECK-CARTIER -- LECTURE 26. RING SCHEMES; THE WITT SCHEME -- APPENDICES TO LECTURE 26 APPENDICES TO LECTURE 26 -- LECTURE 27. THE FUNDAMENTAL THEOREM IN CHARACTERISTIC p -- WORKS REFERRED TO -- Backmatter
Record Nr. UNINA-9910154747503321
Mumford David  
Princeton, NJ : , : Princeton University Press, , [2016]
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Lectures on Fourier Integrals. (AM-42), Volume 42 / / Salomon Trust
Lectures on Fourier Integrals. (AM-42), Volume 42 / / Salomon Trust
Autore Trust Salomon
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (348 pages)
Disciplina 517.355
Altri autori (Persone) PollardHarry
TenenbaumMorris
Collana Annals of Mathematics Studies
Soggetto topico Fourier series
Integrals
Harmonic analysis
Soggetto non controllato Abscissa
Absolute value
Absolutely integrable function
Acta Mathematica
Addition
Additive function
Affine transformation
Almost periodic function
Analytic function
Antiderivative
Arbitrarily large
Arithmetic mean
Augustin-Louis Cauchy
Bernhard Riemann
Bessel function
Big O notation
Borel set
Boundary layer
Boundary value problem
Bounded function
Bounded variation
Calculation
Cauchy principal value
Characteristic function (probability theory)
Coefficient
Compact space
Compactness theorem
Complex number
Continuous function
Dense set
Derivative
Differentiable function
Dirichlet series
Distribution function
Division by zero
E. W. Hobson
Eigenfunction
Eigenvalues and eigenvectors
Empty set
Equation
Existential quantification
Exponential polynomial
Exterior (topology)
Fourier transform
Function (mathematics)
Functional equation
Gamma function
Generating function
Harmonic function
Initial point
Integer
Integral equation
Interval (mathematics)
Limit of a sequence
Line (geometry)
Linear combination
Linear differential equation
Mathematische Annalen
Mean value theorem
Monotonic function
Null set
Order of integration (calculus)
Order of integration
Order of magnitude
Parameter
Partial derivative
Partial fraction decomposition
Poisson formula
Poisson summation formula
Polar coordinate system
Polynomial
Power series
Principal part
Rapidity
Rational function
Rational number
Real variable
Remainder
Requirement
Set function
Sign (mathematics)
Smoothness
Special case
State function
Step function
Subsequence
Summation
Theorem
Total variation
Trigonometric integral
Uniform convergence
Uniqueness theorem
Variable (mathematics)
ISBN 1-4008-8199-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- CONTENTS -- CHAPTER I. BASIC PROPERTIES OF TRIGONOMETRIC INTEGRALS -- CHAPTER II. REPRESENTATION - AND SUM FORMULAS -- CHAPTER III. THE FOURIER INTEGRAL THEOREM -- CHAPTER IV. STIELTJES INTEGRALS -- CHAPTER V. OPERATIONS WITH FUNCTIONS OF THE CLASS FO -- CHAPTER VI. GENERALIZED TRIGONOMETRIC INTEGRALS -- CHAPTER VII. ANALYTIC AND HARMONIC FUNCTIONS -- CHAPTER VIII. QUADRATIC INTEGRABILITV -- CHAPTER IX. FUNCTIONS OF SEVERAL VARIABLES -- APPENDIX -- REMARKS - QUOTATIONS -- MONOTONIC FUNCTIONS, STIELTJES INTEGRALS AND HARMONIC ANALYSIS -- SYMBOLS
Record Nr. UNINA-9910154749703321
Trust Salomon  
Princeton, NJ : , : Princeton University Press, , [2016]
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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
Kollár János  
Princeton, N.J., : Princeton University Press, 2007
Materiale a stampa
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Meromorphic Functions and Analytic Curves. (AM-12) / / Hermann Weyl
Meromorphic Functions and Analytic Curves. (AM-12) / / Hermann Weyl
Autore Weyl Hermann
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (285 pages) : illustrations
Disciplina 517.5
Collana Annals of Mathematics Studies
Soggetto topico Functions
Soggetto non controllato Algebraic curve
Algebraic equation
Algebraic function
Algebraic surface
Analytic continuation
Analytic function
Arc (geometry)
Argument principle
Basis (linear algebra)
Bernhard Riemann
Betti number
Big O notation
Boundary value problem
C-function
C0
Characteristic function (probability theory)
Circumference
Coefficient
Combination
Compact Riemann surface
Compact space
Complex analysis
Complex number
Computation
Concentric
Conformal map
Continuous function
Coordinate system
Degeneracy (mathematics)
Derivative
Diameter
Differential form
Dimension
Disk (mathematics)
Dual curve
Entire function
Equation
Equidistant
Euler characteristic
Existential quantification
Exponential function
Exterior (topology)
Floor and ceiling functions
Fundamental theorem
Gauge factor
General position
Geometry
Harmonic function
Heine–Borel theorem
Hermann Weyl
Homogeneous coordinates
Improper integral
Integer
Interior (topology)
Inverse function
Limit superior and limit inferior
Line integral
Linear differential equation
Linear map
Local parameter
Logarithm
Logarithmic derivative
Mathematics
Maximum principle
Meromorphic function
Modular form
Modular group
Moduli (physics)
Monodromy theorem
Multiple integral
Natural number
Notation
Order by
Parallelepiped
Parameter
Polyad
Polynomial
Power series
Prime number
Probability
Projection (mathematics)
Quantity
Rational function
Real variable
Rectangle
Residue theorem
Riemann integral
Riemann surface
Rotational symmetry
Second derivative
Simply connected space
Subset
Summation
Theorem
Theory
Topological space
Total order
Unit circle
Unit vector
Variable (mathematics)
ISBN 1-4008-8228-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- INTRODUCTION. EARLY HISTORY AND BIBLIOGRAPHY -- CHAPTER I. GEOMETRIC AND FUNCTION-THEORETIC FOUNDATIONS -- CHAPTER II. FIRST MAIN THEOREM FOR MEROMORPHIC CURVES -- CHAPTER III. THE SECOND MAIN THEOREM FOR MEROMORPHIC CURVES -- CHAPTER IV. FIRST AND SECOND MAIN THEOREMS FOR ANALYTIC CURVES -- CHAPTER V. THE DEFECT RELATIONS -- Backmatter
Record Nr. UNINA-9910154746403321
Weyl Hermann  
Princeton, NJ : , : Princeton University Press, , [2016]
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Ramification Theoretic Methods in Algebraic Geometry (AM-43), Volume 43 / / Shreeram Shankar Abhyankar
Ramification Theoretic Methods in Algebraic Geometry (AM-43), Volume 43 / / Shreeram Shankar Abhyankar
Autore Abhyankar Shreeram Shankar
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (117 pages)
Disciplina 512.815
Collana Annals of Mathematics Studies
Soggetto topico Algebraic fields
Geometry, Algebraic
Soggetto non controllato Abelian group
Abstract algebra
Additive group
Affine variety
Algebraic closure
Algebraic curve
Algebraic equation
Algebraic function field
Algebraic function
Algebraic geometry
Algebraic number theory
Algebraic surface
Algebraic variety
Big O notation
Birational geometry
Branch point
Cardinal number
Cardinality
Complex number
Degrees of freedom (statistics)
Dimension
Equation
Equivalence class
Existential quantification
Field extension
Field of fractions
Foundations of Algebraic Geometry
Function field
Galois group
Generic point
Ground field
Homomorphism
Ideal theory
Integer
Irrational number
Irreducible component
Linear algebra
Local ring
Mathematics
Max Noether
Maximal element
Maximal ideal
Natural number
Nilpotent
Noetherian ring
Null set
Order by
Order type
Parameter
Primary ideal
Prime ideal
Prime number
Projective variety
Quantity
Quotient ring
Ramification group
Rational function
Rational number
Real number
Resolution of singularities
Riemann surface
Ring (mathematics)
Special case
Splitting field
Subgroup
Subset
Theorem
Theory of equations
Transcendence degree
Two-dimensional space
Uniformization
Valuation ring
Variable (mathematics)
Vector space
Zero divisor
Zorn's lemma
ISBN 1-4008-8139-0
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- INTRODUCTION -- CHAPTER I: GENERAL RAMIFICATION THEORY -- CHAPTER II: VALUATION THEORY -- CHAPTER III: NOETHERIAN LOCAL RINGS -- CHAPTER IV: TWO-DIMENSIONAL LOCAL DOMAINS -- CHAPTER V: VARIETIES AND TRANSFORMATIONS -- BIBLIOGRAPHY
Record Nr. UNINA-9910154754403321
Abhyankar Shreeram Shankar  
Princeton, NJ : , : Princeton University Press, , [2016]
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Rigid Local Systems. (AM-139), Volume 139 / / Nicholas M. Katz
Rigid Local Systems. (AM-139), Volume 139 / / Nicholas M. Katz
Autore Katz Nicholas M.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (233 pages)
Disciplina 515/.35
Collana Annals of Mathematics Studies
Soggetto topico Differential equations - Numerical solutions
Hypergeometric functions
Sheaf theory
Soggetto non controllato Additive group
Alexander Grothendieck
Algebraic closure
Algebraic differential equation
Algebraically closed field
Algorithm
Analytic continuation
Automorphism
Axiom of choice
Bernhard Riemann
Big O notation
Calculation
Carlos Simpson
Coefficient
Cohomology
Commutator
Compactification (mathematics)
Comparison theorem
Complex analytic space
Complex conjugate
Complex manifold
Conjecture
Conjugacy class
Convolution
Corollary
Cube root
Cusp form
De Rham cohomology
Differential equation
Dimension
Dimensional analysis
Discrete valuation ring
Disjoint union
Divisor
Duality (mathematics)
Eigenfunction
Eigenvalues and eigenvectors
Elliptic curve
Equation
Equivalence of categories
Exact sequence
Existential quantification
Finite field
Finite set
Fourier transform
Functor
Fundamental group
Generic point
Ground field
Hodge structure
Hypergeometric function
Integer
Invertible matrix
Isomorphism class
Jordan normal form
Level of measurement
Linear differential equation
Local system
Mathematical induction
Mathematics
Matrix (mathematics)
Monodromy
Monomial
Morphism
Natural filtration
Parameter
Parity (mathematics)
Perfect field
Perverse sheaf
Polynomial
Prime number
Projective representation
Projective space
Pullback (category theory)
Pullback
Rational function
Regular singular point
Relative dimension
Residue field
Ring of integers
Root of unity
Sequence
Sesquilinear form
Set (mathematics)
Sheaf (mathematics)
Six operations
Special case
Subgroup
Subobject
Subring
Suggestion
Summation
Tensor product
Theorem
Theory
Topology
Triangular matrix
Trivial representation
Vector space
Zariski topology
ISBN 1-4008-8259-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- CHAPTER 1. First results on rigid local systems -- CHAPTER 2. The theory of middle convolution -- CHAPTER 3. Fourier Transform and rigidity -- CHAPTER 4. Middle convolution: dependence on parameters -- CHAPTER 5. Structure of rigid local systems -- CHAPTER 6. Existence algorithms for rigids -- CHAPTER 7. Diophantine aspects of rigidity -- CHAPTER 8. Motivic description of rigids -- CHAPTER 9. Grothendieck's p-curvature conjecture for rigids -- References
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Katz Nicholas M.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
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