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Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV / / Solomon Lefschetz
| Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV / / Solomon Lefschetz |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (229 pages) |
| Disciplina | 531.3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Nonlinear oscillations |
| Soggetto non controllato |
Algebraic curve
Analytic continuation Analytic function Asymptotic analysis Banach space Big O notation Boundary value problem Calculation Canonical transformation Cartesian coordinate system Change of variables Characteristic exponent Coefficient Computation Conic section Continuous function Convex set Counterexample Curvature Curve Degrees of freedom (statistics) Derivative Diagram (category theory) Differentiable function Differential equation Dimension Dimensional analysis Division by zero Eigenvalues and eigenvectors Elementary proof Equation Essential singularity Existence theorem Existential quantification Exterior (topology) Fixed-point theorem Forcing (mathematics) Forcing (recursion theory) Function space Functional equation Hamiltonian system Hyperplane Inflection point Initial condition Initial value problem Integral equation Inverse function Iteration Lagrangian mechanics Lefschetz fixed-point theorem Limit cycle Limit of a sequence Limit point Limit set Line segment Linearity Line–line intersection Lipschitz continuity Lyapunov stability Mathematical optimization Mathematics Monotonic function Newton polygon Nonlinear system Orbital stability Ordinary differential equation Ordinate Parameter Parametrization Parity (mathematics) Partial derivative Periodic function Periodic point Perturbation theory (quantum mechanics) Phase space Power series Principal part Proportionality (mathematics) Quadratic Real variable Scalar (physics) Scientific notation Sign (mathematics) Significant figures Solomon Lefschetz Special case Sturm–Liouville theory Subset Surface of revolution Theorem Theory Three-dimensional space (mathematics) Transversal (geometry) Unification (computer science) Upper half-plane Variable (mathematics) Variational method (quantum mechanics) Vector field Vector notation Zero of a function |
| ISBN | 1-4008-8175-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface / Lefschetz, Solomon -- Contents -- I. On the Non-Linear Difference-Differential Equation y1(t) = [A - By(t-r) ly (t) / Kakutani, S. / Markus, L. -- II. On the Critical Points of a Class of Differential Equations / Lefschetz, Solomon -- III. Optimal Discontinuous Forcing Terms / Bushaw, D. -- IV. On the Structure of Symmetric Periodic Solutions of Conservative Systems, with Applications / DeVogelaere, René -- V. Asymptotic Behavior of Solutions of Canonical Systems Near a Closed, Unstable Orbit / Slotnick, D. L. -- VI. Small Periodic Perturbations of an Autonomous System of Vector Equations / Kyner, Walter T. -- VII. Rotated Vector Fields and an Equation for Relaxation Oscillations / Seifert, George -- VIII. A Survey of Lyapunov's Second Method / Antosiewicz, H. A. -- IX. On Phase Portraits of Critical Points in n-Space / Mendelson, Pinchas -- X. On Non-Linear Repulsive Forces / Bass, Robert W. -- Backmatter |
| Record Nr. | UNINA-9910154752703321 |
| 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.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Semiclassical soliton ensembles for the focusing nonlinear Schrodinger equation [[electronic resource] /] / Spyridon Kamvissis, Kenneth D.T-R McLaughlin, Peter D. Miller
| Semiclassical soliton ensembles for the focusing nonlinear Schrodinger equation [[electronic resource] /] / Spyridon Kamvissis, Kenneth D.T-R McLaughlin, Peter D. Miller |
| Autore | Kamvissis Spyridon |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, c2003 |
| Descrizione fisica | 1 online resource (280 p.) |
| Disciplina | 530.12/4 |
| Altri autori (Persone) |
McLaughlinK. T-R <1969-> (Kenneth T-R)
MillerPeter D <1967-> (Peter David) |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Schrodinger equation
Wave mechanics |
| Soggetto non controllato |
Abelian integral
Analytic continuation Analytic function Ansatz Approximation Asymptote Asymptotic analysis Asymptotic distribution Asymptotic expansion Banach algebra Basis (linear algebra) Boundary (topology) Boundary value problem Bounded operator Calculation Cauchy's integral formula Cauchy's integral theorem Cauchy's theorem (geometry) Cauchy–Riemann equations Change of variables Coefficient Complex plane Cramer's rule Degeneracy (mathematics) Derivative Diagram (category theory) Differentiable function Differential equation Differential operator Dirac equation Disjoint union Divisor Eigenfunction Eigenvalues and eigenvectors Elliptic integral Energy minimization Equation Euler's formula Euler–Lagrange equation Existential quantification Explicit formulae (L-function) Fourier transform Fredholm theory Function (mathematics) Gauge theory Heteroclinic orbit Hilbert transform Identity matrix Implicit function theorem Implicit function Infimum and supremum Initial value problem Integrable system Integral curve Integral equation Inverse problem Jacobian matrix and determinant Kerr effect Laurent series Limit point Line (geometry) Linear equation Linear space (geometry) Logarithmic derivative Lp space Minor (linear algebra) Monotonic function Neumann series Normalization property (abstract rewriting) Numerical integration Ordinary differential equation Orthogonal polynomials Parameter Parametrix Paraxial approximation Parity (mathematics) Partial derivative Partial differential equation Perturbation theory (quantum mechanics) Perturbation theory Pole (complex analysis) Polynomial Probability measure Quadratic differential Quadratic programming Radon–Nikodym theorem Reflection coefficient Riemann surface Simultaneous equations Sobolev space Soliton Special case Taylor series Theorem Theory Trace (linear algebra) Upper half-plane Variational method (quantum mechanics) Variational principle WKB approximation |
| ISBN |
1-299-44345-1
1-4008-3718-9 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Figures and Tables -- Preface -- Chapter 1. Introduction and Overview -- Chapter 2. Holomorphic Riemann-Hilbert Problems for Solitons -- Chapter 3. Semiclassical Soliton Ensembles -- Chapter 4. Asymptotic Analysis of the Inverse Problem -- Chapter 5. Direct Construction of the Complex Phase -- Chapter 6. The Genus - Zero Ansatz -- Chapter 7. The Transition to Genus Two -- Chapter 8. Variational Theory of the Complex Phase -- Chapter 9. Conclusion and Outlook -- Appendix A. H¨older Theory of Local Riemann-Hilbert Problems -- Appendix B. Near-Identity Riemann-Hilbert Problems in L2 -- Bibliography -- Index |
| Record Nr. | UNINA-9910791959003321 |
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Kamvissis Spyridon
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| Princeton, NJ, : Princeton University Press, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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