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
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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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
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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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.
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Princeton, NJ : , : Princeton University Press, , [2014] | ||
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Lo trovi qui: Univ. Federico II | ||
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