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Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III / / Solomon Lefschetz
Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III / / Solomon Lefschetz
Autore Lefschetz Solomon
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (300 pages) : illustrations
Disciplina 531.3
Collana Annals of Mathematics Studies
Soggetto topico Oscillations
Soggetto non controllato Addition
Almost periodic function
Analytic function
Analytic manifold
Asymptote
Asymptotic analysis
Banach space
Basis (linear algebra)
Betti number
Big O notation
Boundary (topology)
Boundary value problem
Boundedness
Calculation
Cartesian coordinate system
Characteristic equation
Characteristic exponent
Coefficient matrix
Coefficient
Combination
Complex number
Complex space
Connected space
Continuous function
Counterexample
Curve
Degeneracy (mathematics)
Degrees of freedom (statistics)
Derivative
Determinant
Differentiable function
Differential equation
Dissipative system
Eigenvalues and eigenvectors
Equation
Existence theorem
Existential quantification
Exterior (topology)
First variation
Fixed-point theorem
Fundamental theorem
Geometry
Half-space (geometry)
Homeomorphism
Homotopy
Hyperbolic sector
Identity matrix
Imaginary number
Implicit function
Infimum and supremum
Integral curve
Interior (topology)
Intersection (set theory)
Interval (mathematics)
Invertible matrix
Jacobian matrix and determinant
Jordan curve theorem
Limit cycle
Limit point
Limit set
Line at infinity
Linear approximation
Linear differential equation
Linear equation
Linear map
Lipschitz continuity
Matrix (mathematics)
Monotonic function
N-vector
Nonlinear system
Ordinary differential equation
Parameter
Parametric equation
Parametrization
Partial derivative
Periodic function
Phase plane
Phase space
Point at infinity
Polynomial
Projective plane
Quantity
Saddle point
Scientific notation
Second derivative
Separatrix (mathematics)
Sign (mathematics)
Simultaneous equations
Singular perturbation
Special case
Submanifold
Summation
Tangent
Taylor series
Theorem
Theory
Topology
Vector field
Velocity
Zero of a function
ISBN 1-4008-8217-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- I. A ROTATED VECTOR APPROACH TO THE PROBLEM OP STABILITY OP SOLUTIONS OF PENDULUM-TYPE EQUATIONS / Seifert, George -- II. ASYMPTOTICALLY AUTONOMOUS DIFFERENTIAL SYSTEMS / Markus, L. -- III. NONLINEAR DIFFERENTIAL EQUATIONS SYSTEMS / Pinney, Edmund -- IV. ON A NON-LINEAR DIFFERENTIAL EQUATION CONTAINING A SMALL PARAMETER / Haas, Violet B. -- V. CRITICAL POINTS AT INFINITY AND FORCED OSCILLATION / Gomory, Ralph E. -- VI. ON CERTAIN CRITICAL POINTS OF A DIFFERENTIAL SYSTEM IN THE PLANE / Barocio, Samuel -- VII. ON THE TOTAL NUMBER OF SINGULAR POINTS AND LIMIT CYCLES OF A DIFFERENTIAL EQUATION / Haas, Felix -- VIII. BANACH SPACES AND THE PERTURBATION OF ORDINARY DIFFERENTIAL EQUATIONS / Hufford, George -- IX. A FIXED POINT THEOREM / Kyner, Walter T. -- X. PERTURBATION THEOREMS FOR NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS / Diliberto, S. P. / Hufford, G. -- XI. A NOTE ON THE EXISTENCE OF PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS / Diliberto, S. P. / Marcus, M. D. -- XII. AN INVARIANT SURFACE THEOREM FOR A NON-DEGENERATE SYSTEM / Marcus, Marvin D. -- XIII. AN APPLICATION OP PERIODIC SURFACES (SOLUTION OF A SMALL DIVISOR PROBLEM) / Diliberto, Stephen P. -- XIV. REPEATING SOLUTIONS FOR A DEGENERATE SYSTEM / Marcus, Marvin D. -- XV. BOUNDS FOR PERIODS OF PERIODIC SOLUTIONS / Diliberto, Stephen P. -- XVI. ONE-DIMENSIONAL REPEATING CURVES IN THE NON-DEGENERATE CASE / Koosis, Paul -- Backmatter
Record Nr. UNINA-9910154750203321
Lefschetz Solomon  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Isoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27 / / G. Szegö, G. Polya
Isoperimetric Inequalities in Mathematical Physics. (AM-27), Volume 27 / / G. Szegö, G. Polya
Autore Polya G.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (296 pages)
Disciplina 530.151
Collana Annals of Mathematics Studies
Soggetto topico Isoperimetric inequalities
Mathematical physics
Soggetto non controllato Approximation error
Approximation
Arc (geometry)
Arithmetic mean
Axiom
Bessel function
Big O notation
Biharmonic equation
Boundary value problem
Bounded set (topological vector space)
Calculation
Calculus of variations
Cartesian coordinate system
Coefficient
Complex number
Complex plane
Computation
Conformal map
Conjecture
Conservative vector field
Convex curve
Convex set
Cylinder (geometry)
Degeneracy (mathematics)
Differential equation
Differential geometry of surfaces
Dirichlet integral
Dirichlet problem
Dirichlet's principle
Dodecahedron
Eigenfunction
Eigenvalues and eigenvectors
Electrostatics
Elliptic integral
Equation
Equilateral triangle
Even and odd functions
Existence theorem
Explicit formulae (L-function)
Exterior (topology)
Fourier series
Function (mathematics)
Gaussian curvature
Geometric progression
Harmonic function
Homogeneous coordinates
Hypotenuse
Intersection (set theory)
Isoperimetric inequality
Isoperimetric problem
Linear function
Markov chain
Mathematical physics
Mathematical proof
Mathematician
Mathematics
Maxima and minima
Monotonic function
Numerical analysis
Parallelogram
Parametric equation
Partial derivative
Partial differential equation
Partial fraction decomposition
Periodic function
Poincaré conjecture
Point at infinity
Polar moment of inertia
Polyhedron
Polynomial
Potential theory
Power series
Projection (linear algebra)
Proportionality (mathematics)
Quadratic form
Quantity
Rectangle
Regular polygon
Rhombus
Riemann surface
Scientific notation
Semi-major and semi-minor axes
Series (mathematics)
Sign (mathematics)
Simply connected space
Special case
Spheroid
Stress functions
Summation
Symmetrization
Tetrahedron
Theorem
Three-dimensional space (mathematics)
Trigonometric functions
Two-dimensional space
Unit sphere
Upper and lower bounds
Vanish at infinity
Variable (mathematics)
Variational method (quantum mechanics)
ISBN 1-4008-8266-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- TABLE OF CONTENTS -- CHAPTER I. DEFINITIONS, METHODS AND RESULTS -- CHAPTER II. THE PRINCIPLES OP DIRICHLET AND THOMSON -- CHAPTER III. APPLICATIONS OP THE PRINCIPLES OP DIRICHLET AND THOMSON TO ESTIMATION OP THE CAPACITY -- CHAPTER IV. CIRCULAR PLATE CONDENSER -- CHAPTER V. TORSIONAL RIGIDITY AND PRINCIPAL FREQUENCY -- CHAPTER VI. NEARLY CIRCULAR AND NEARLY SPHERICAL DOMAINS -- CHAPTER VIII. ON ELLIPSOID AND LENS -- NOTE A. SURFACE-AREA AND DIRICHLET'S INTEGRAL -- NOTE B. ON CONTINUOUS SYMMETRIZATION -- NOTE C. ON SPHERICAL SYMMETRIZATION -- NOTE D. ON A GENERALIZATION OF DIRICHLET'S INTEGRAL -- NOTE E. HEAT-CONDUCTION ON A SURFACE -- NOTE F. ON MEMBRANES AND PLATES -- NOTE G. VIRTUAL MASS AND POLARIZATION -- TABLES FOR SOME SET-FUNCTIONS OF PLANE DOMAINS -- BIBLIOGRAPHY -- LIST OF SYMBOLS
Record Nr. UNINA-9910154747803321
Polya G.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Lectures on Differential Equations. (AM-14), Volume 14 / / Solomon Lefschetz
Lectures on Differential Equations. (AM-14), Volume 14 / / Solomon Lefschetz
Autore Lefschetz Solomon
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (221 pages)
Disciplina 517.38
Collana Annals of Mathematics Studies
Soggetto topico Differential equations
Soggetto non controllato Abscissa
Absolute value
Addition
Adjoint
Algebraic topology
Antiderivative
Approximation
Canonical form
Cartesian coordinate system
Characteristic equation
Characteristic exponent
Circumference
Coefficient matrix
Coefficient
Compact space
Complex number
Complex plane
Complex-valued function
Condition index
Conformal map
Connected space
Conservation of energy
Continuous function
Convex hull
Coordinate system
Corollary
Degrees of freedom (statistics)
Derivative
Determinant
Diagram (category theory)
Differentiable function
Differential equation
Dimension
Dissipation
Eigenvalues and eigenvectors
Empty set
Entire function
Equation
Euclidean geometry
Euclidean space
Existence theorem
Existential quantification
Exterior (topology)
Holomorphic function
Homogeneous polynomial
Inflection point
Initial point
Integer
Intersection (set theory)
Jacobian matrix and determinant
Jordan curve theorem
Limit point
Limit set
Line at infinity
Linear differential equation
Linear map
Lipschitz continuity
Lyapunov stability
Mathematical physics
Mathematician
Matrix function
Maximal set
Monotonic function
Nonlinear system
Notation
Open set
Parameter
Parametric equation
Partial derivative
Periodic function
Phase space
Polar coordinate system
Polynomial
Power series
Projective geometry
Projective plane
Quadratic
Radius of convergence
Rectangle
Regular representation
Saddle point
Separatrix (mathematics)
Set theory
Simple polygon
Solomon Lefschetz
Special case
Spherical cap
Stereographic projection
Subset
Summation
Theorem
Theory
Topological property
Toroid
Two-dimensional space
Uniform convergence
Upper and lower bounds
Variable (mathematics)
Vector space
Zero of a function
ISBN 1-4008-8194-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- TABLE OF CONTENTS -- CHAPTER I. SOME PRELIMINARY QUESTIONS -- CHAPTER II. DIFFERENTIAL EQUATIONS -- CHAPTER III. LINEAR SYSTEMS -- CHAPTER IV. CRITICAL POINTS AND PERIODIC MOTIONS QUESTIONS OF STABILITY -- CHAPTER V. TWO DIMENSIONAL SYSTEMS -- CHAPTER VI. APPLICATION TO CERTAIN EQUATIONS' OF THE SECOND ORDER -- INDEX
Record Nr. UNINA-9910154749803321
Lefschetz Solomon  
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
Kollár János  
Princeton, N.J., : Princeton University Press, 2007
Materiale a stampa
Lo trovi qui: Univ. Federico II
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The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
Autore Morgan John W. <1946->
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , 1996
Descrizione fisica 1 online resource (138 p.)
Disciplina 514/.2
Collana Mathematical Notes
Soggetto topico Four-manifolds (Topology)
Seiberg-Witten invariants
Mathematical physics
Soggetto non controllato Affine space
Affine transformation
Algebra bundle
Algebraic surface
Almost complex manifold
Automorphism
Banach space
Clifford algebra
Cohomology
Cokernel
Complex dimension
Complex manifold
Complex plane
Complex projective space
Complex vector bundle
Complexification (Lie group)
Computation
Configuration space
Conjugate transpose
Covariant derivative
Curvature form
Curvature
Differentiable manifold
Differential topology
Dimension (vector space)
Dirac equation
Dirac operator
Division algebra
Donaldson theory
Duality (mathematics)
Eigenvalues and eigenvectors
Elliptic operator
Elliptic surface
Equation
Fiber bundle
Frenet–Serret formulas
Gauge fixing
Gauge theory
Gaussian curvature
Geometry
Group homomorphism
Hilbert space
Hodge index theorem
Homology (mathematics)
Homotopy
Identity (mathematics)
Implicit function theorem
Intersection form (4-manifold)
Inverse function theorem
Isomorphism class
K3 surface
Kähler manifold
Levi-Civita connection
Lie algebra
Line bundle
Linear map
Linear space (geometry)
Linearization
Manifold
Mathematical induction
Moduli space
Multiplication theorem
Neighbourhood (mathematics)
One-form
Open set
Orientability
Orthonormal basis
Parameter space
Parametric equation
Parity (mathematics)
Partial derivative
Principal bundle
Projection (linear algebra)
Pullback (category theory)
Quadratic form
Quaternion algebra
Quotient space (topology)
Riemann surface
Riemannian manifold
Sard's theorem
Sign (mathematics)
Sobolev space
Spin group
Spin representation
Spin structure
Spinor field
Subgroup
Submanifold
Surjective function
Symplectic geometry
Symplectic manifold
Tangent bundle
Tangent space
Tensor product
Theorem
Three-dimensional space (mathematics)
Trace (linear algebra)
Transversality (mathematics)
Two-form
Zariski tangent space
ISBN 1-4008-6516-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- 1. Introduction -- 2. Clifford Algebras and Spin Groups -- 3. Spin Bundles and the Dirac Operator -- 4. The Seiberg-Witten Moduli Space -- 5. Curvature Identities and Bounds -- 6. The Seiberg-Witten Invariant -- 7. Invariants of Kahler Surfaces -- Bibliography
Record Nr. UNINA-9910786749103321
Morgan John W. <1946->  
Princeton, New Jersey : , : Princeton University Press, , 1996
Materiale a stampa
Lo trovi qui: Univ. Federico II
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The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds / / John W. Morgan
Autore Morgan John W. <1946->
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , 1996
Descrizione fisica 1 online resource (138 p.)
Disciplina 514/.2
Collana Mathematical Notes
Soggetto topico Four-manifolds (Topology)
Seiberg-Witten invariants
Mathematical physics
Soggetto non controllato Affine space
Affine transformation
Algebra bundle
Algebraic surface
Almost complex manifold
Automorphism
Banach space
Clifford algebra
Cohomology
Cokernel
Complex dimension
Complex manifold
Complex plane
Complex projective space
Complex vector bundle
Complexification (Lie group)
Computation
Configuration space
Conjugate transpose
Covariant derivative
Curvature form
Curvature
Differentiable manifold
Differential topology
Dimension (vector space)
Dirac equation
Dirac operator
Division algebra
Donaldson theory
Duality (mathematics)
Eigenvalues and eigenvectors
Elliptic operator
Elliptic surface
Equation
Fiber bundle
Frenet–Serret formulas
Gauge fixing
Gauge theory
Gaussian curvature
Geometry
Group homomorphism
Hilbert space
Hodge index theorem
Homology (mathematics)
Homotopy
Identity (mathematics)
Implicit function theorem
Intersection form (4-manifold)
Inverse function theorem
Isomorphism class
K3 surface
Kähler manifold
Levi-Civita connection
Lie algebra
Line bundle
Linear map
Linear space (geometry)
Linearization
Manifold
Mathematical induction
Moduli space
Multiplication theorem
Neighbourhood (mathematics)
One-form
Open set
Orientability
Orthonormal basis
Parameter space
Parametric equation
Parity (mathematics)
Partial derivative
Principal bundle
Projection (linear algebra)
Pullback (category theory)
Quadratic form
Quaternion algebra
Quotient space (topology)
Riemann surface
Riemannian manifold
Sard's theorem
Sign (mathematics)
Sobolev space
Spin group
Spin representation
Spin structure
Spinor field
Subgroup
Submanifold
Surjective function
Symplectic geometry
Symplectic manifold
Tangent bundle
Tangent space
Tensor product
Theorem
Three-dimensional space (mathematics)
Trace (linear algebra)
Transversality (mathematics)
Two-form
Zariski tangent space
ISBN 1-4008-6516-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- 1. Introduction -- 2. Clifford Algebras and Spin Groups -- 3. Spin Bundles and the Dirac Operator -- 4. The Seiberg-Witten Moduli Space -- 5. Curvature Identities and Bounds -- 6. The Seiberg-Witten Invariant -- 7. Invariants of Kahler Surfaces -- Bibliography
Record Nr. UNINA-9910828604403321
Morgan John W. <1946->  
Princeton, New Jersey : , : Princeton University Press, , 1996
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Surface Area. (AM-35), Volume 35 / / Lamberto Cesari
Surface Area. (AM-35), Volume 35 / / Lamberto Cesari
Autore Cesari Lamberto
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (612 pages) : illustrations
Disciplina 516.36
Collana Annals of Mathematics Studies
Soggetto topico Surfaces
Soggetto non controllato Absolute continuity
Addition
Admissible set
Arc length
Axiom
Axiomatic system
Bearing (navigation)
Bounded variation
Calculus of variations
Circumference
Compact space
Complex analysis
Concentric
Connected space
Continuous function (set theory)
Continuous function
Corollary
Countable set
Covering set
Curve
Derivative
Diameter
Differentiable function
Differential geometry
Direct proof
Dirichlet integral
Disjoint sets
Empty set
Equation
Equicontinuity
Existence theorem
Existential quantification
Function (mathematics)
Functional analysis
Geometry
Hausdorff measure
Homeomorphism
Homotopy
Infimum and supremum
Integral geometry
Intersection number (graph theory)
Interval (mathematics)
Iterative method
Jacobian
Lebesgue integration
Lebesgue measure
Limit (mathematics)
Limit point
Limit superior and limit inferior
Linearity
Line–line intersection
Locally compact space
Mathematician
Mathematics
Measure (mathematics)
Metric space
Morphism
Natural number
Nonparametric statistics
Orientability
Parameter
Parametric equation
Parametric surface
Partial derivative
Potential theory
Radon–Nikodym theorem
Representation theorem
Representation theory
Right angle
Semi-continuity
Set function
Set theory
Sign (mathematics)
Smoothness
Space-filling curve
Subset
Summation
Surface area
Tangent space
Theorem
Topological space
Topology
Total order
Total variation
Uniform convergence
Unit square
ISBN 1-4008-8232-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- CHAPTER I. INTRODUCTORY- CONSIDERATIONS -- CHAPTER II. LEBESGUE AREA -- CHAPTER III. THE GEÖCZE AREAS V AND U AND THE PEANO AREA P -- CHAPTER IV. BV AND AC PLANE MAPPINGS -- CHAPTER V. THE FIRST THEOREM -- CHAPTER VI. THE CAVALIERI INEQUALITY -- CHAPTER VII. IDENTIFICATION OF LEBESGUE, GEÖCZE, PEANO AREAS -- CHAPTER VIII. GEOMETRICAL PROPERTIES AND THE SECOND THEOREM -- CHAPTER IX. THE REPRESENTATION PROBLEM -- CHAPTER X. THE REPRESENTATION OF GENERAL SURFACES AND THE THIRD THEOREM -- APPENDIX A. A DIRECT PROOF OF A PROPERTY OF CONTINUOUS SURFACES -- APPENDIX B. WEIERSTRASS INTEGRAL OVER A SURFACE -- BIBLIOGRAPHY -- SPECIAL SIGNS AND ABBREVIATIONS -- Backmatter
Record Nr. UNINA-9910154743203321
Cesari Lamberto  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
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