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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
Opac: Controlla la disponibilità qui
Strong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78 / / G. Daniel Mostow
Strong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78 / / G. Daniel Mostow
Autore Mostow G. Daniel
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (205 pages)
Disciplina 516/.36
Collana Annals of Mathematics Studies
Soggetto topico Riemannian manifolds
Symmetric spaces
Lie groups
Rigidity (Geometry)
Soggetto non controllato Addition
Adjoint representation
Affine space
Approximation
Automorphism
Axiom
Big O notation
Boundary value problem
Cohomology
Compact Riemann surface
Compact space
Conjecture
Constant curvature
Corollary
Counterexample
Covering group
Covering space
Curvature
Diameter
Diffeomorphism
Differentiable function
Dimension
Direct product
Division algebra
Ergodicity
Erlangen program
Existence theorem
Exponential function
Finitely generated group
Fundamental domain
Fundamental group
Geometry
Half-space (geometry)
Hausdorff distance
Hermitian matrix
Homeomorphism
Homomorphism
Hyperplane
Identity matrix
Inner automorphism
Isometry group
Jordan algebra
Matrix multiplication
Metric space
Morphism
Möbius transformation
Normal subgroup
Normalizing constant
Partially ordered set
Permutation
Projective space
Riemann surface
Riemannian geometry
Sectional curvature
Self-adjoint
Set function
Smoothness
Stereographic projection
Subgroup
Subset
Summation
Symmetric space
Tangent space
Tangent vector
Theorem
Topology
Tubular neighborhood
Two-dimensional space
Unit sphere
Vector group
Weyl group
ISBN 1-4008-8183-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- §1. Introduction -- §2. Algebraic Preliminaries -- §3. The Geometry of χ : Preliminaries -- §4. A Metric Definition of the Maximal Boundary -- §5. Polar Parts -- §6. A Basic Inequality -- §7. Geometry of Neighboring Flats -- §8. Density Properties of Discrete Subgroups -- §8. Density Properties of Discrete Subgroups -- § 10. Pseudo Isometries of Simply Connected Spaces with Negative Curvature -- §11. Polar Regular Elements in Co-Compact Γ -- § 12. Pseudo-Isometric Invariance of Semi-Simple and Unipotent Elements -- §13. The Basic Approximation -- §14. The Map ∅̅ -- §15. The Boundary Map ∅0 -- §16. Tits Geometries -- §17. Rigidity for R-rank > 1 -- §18. The Restriction to Simple Groups -- §19. Spaces of R-rank 1 -- §20. The Boundary Semi-Metric -- §21. Quasi-Conformal Mappings Over K and Absolute Continuity on Almost All R-Circles -- §22. The Effect of Ergodicity -- §23. R-Rank 1 Rigidity Proof Concluded -- §24. Concluding Remarks -- Bibliography -- Backmatter
Record Nr. UNINA-9910154743303321
Mostow G. Daniel  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Three-Dimensional Geometry and Topology, Volume 1 : Volume 1 / / William P. Thurston; Silvio Levy
Three-Dimensional Geometry and Topology, Volume 1 : Volume 1 / / William P. Thurston; Silvio Levy
Autore Thurston William P.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2014]
Descrizione fisica 1 online resource (312 pages) : illustrations
Disciplina 516/.07
Collana Princeton Mathematical Series
Soggetto topico Geometry, Hyperbolic
Three-manifolds (Topology)
Soggetto non controllato 3-sphere
Abelian group
Affine space
Affine transformation
Atlas (topology)
Automorphism
Basis (linear algebra)
Bounded set (topological vector space)
Brouwer fixed-point theorem
Cartesian coordinate system
Characterization (mathematics)
Compactification (mathematics)
Conformal map
Contact geometry
Curvature
Cut locus (Riemannian manifold)
Diagram (category theory)
Diffeomorphism
Differentiable manifold
Dimension (vector space)
Dimension
Disk (mathematics)
Divisor (algebraic geometry)
Dodecahedron
Eigenvalues and eigenvectors
Embedding
Euclidean space
Euler number
Exterior (topology)
Facet (geometry)
Fiber bundle
Foliation
Fundamental group
Gaussian curvature
Geometry
Group homomorphism
Half-space (geometry)
Holonomy
Homeomorphism
Homotopy
Horocycle
Hyperbolic geometry
Hyperbolic manifold
Hyperbolic space
Hyperboloid model
Interior (topology)
Intersection (set theory)
Isometry group
Isometry
Jordan curve theorem
Lefschetz fixed-point theorem
Lie algebra
Lie group
Line (geometry)
Linear map
Linearization
Manifold
Mathematical induction
Metric space
Moduli space
Möbius transformation
Norm (mathematics)
Pair of pants (mathematics)
Piecewise linear manifold
Piecewise linear
Poincaré disk model
Polyhedron
Projection (linear algebra)
Projection (mathematics)
Pseudogroup
Pullback (category theory)
Quasi-isometry
Quotient space (topology)
Riemann mapping theorem
Riemann surface
Riemannian manifold
Sheaf (mathematics)
Sign (mathematics)
Simplicial complex
Simply connected space
Special linear group
Stokes' theorem
Subgroup
Subset
Tangent space
Tangent vector
Tetrahedron
Theorem
Three-dimensional space (mathematics)
Topological group
Topological manifold
Topological space
Topology
Transversal (geometry)
Two-dimensional space
Uniformization theorem
Unit sphere
Variable (mathematics)
Vector bundle
Vector field
ISBN 1-4008-6532-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Reader's Advisory -- 1 What Is a Manifold? -- 2 Hyperbolic Geometry and Its Friends -- 3 Geometric Manifolds -- 4 The Structure of Discrete Groups -- Glossary -- Bibliography -- Index
Record Nr. UNINA-9910163942403321
Thurston William P.  
Princeton, NJ : , : Princeton University Press, , [2014]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui