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Contributions to the Theory of Nonlinear Oscillations (AM-29), Volume II / / Solomon Lefschetz
| Contributions to the Theory of Nonlinear Oscillations (AM-29), Volume II / / Solomon Lefschetz |
| Autore | Lefschetz Solomon |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (128 pages) : illustrations |
| Disciplina | 531.3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Oscillations |
| Soggetto non controllato |
Addition
Analytic function Approximation Arc length Asymptotic expansion Big O notation Bijection Calculation Canonical form Cartesian coordinate system Characteristic equation Characteristic exponent Circumference Clockwise Coefficient matrix Coefficient Concentric Continuous function Contradiction Coordinate system Determinant Differential equation Divisor Dynamical system Equation Existential quantification Exterior (topology) First variation Geometry Homotopy Initial condition Integer Intersection (set theory) Interval (mathematics) Isolated point Iteration Limit cycle Limit set Linear differential equation Linear equation Main diagonal Mathematician Matrix (mathematics) Matrix coefficient Monotonic function Natural number Nonlinear system Parameter Partial derivative Periodic function Phase plane Phase portrait Polar coordinate system Polynomial Projective plane Quadratic transformation Requirement Saddle point Separatrix (mathematics) Sequence Special case Square matrix Statistical hypothesis testing Structural stability Subset Suggestion Theorem Theory Three-dimensional space (mathematics) Time derivative Topology Trigonometric polynomial Uniqueness theorem Unit vector Variable (mathematics) Vector field Velocity Without loss of generality |
| ISBN | 1-4008-8270-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface / Lefschetz, Solomon -- Contents -- I. Van der Pol's Equation for Relaxation Oscillations / Cartwright, M. L. -- II. Perturbations of Linear Systems with Constant Coefficients Possessing Periodic Solutions / Coddington, E. A. / Levinson, N. -- III. Dynamical Systems with Stable Structures / DeBaggis, H. F. -- IV. Notes on Differential Equations / Lefsehetz, Solomon -- V. A method for the Calculation of Limit Cycles by Successive Approximation / McCarthy, John -- VI. Asymptotic Expansions of Solutions of Systems of Ordinary Linear Differential Equations Containing a Parameter / Turrittin, H. L. |
| Record Nr. | UNINA-9910154745103321 |
Lefschetz Solomon
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
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Weyl Hermann
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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On Knots. (AM-115), Volume 115 / / Louis H. Kauffman
| On Knots. (AM-115), Volume 115 / / Louis H. Kauffman |
| Autore | Kauffman Louis H. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (497 pages) : illustrations |
| Disciplina | 514/.224 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Knot theory |
| Soggetto non controllato |
3-sphere
Addition theorem Addition Alexander polynomial Algebraic variety Algorithm Ambient isotopy Arf invariant Basepoint Bijection Bilinear form Borromean rings Bracket polynomial Braid group Branched covering Chiral knot Chromatic polynomial Cobordism Codimension Combination Combinatorics Complex analysis Concentric Conjecture Connected sum Conway polynomial (finite fields) Counting Covering space Cyclic group Dense set Determinant Diagram (category theory) Diffeomorphism Dimension Disjoint union Disk (mathematics) Dual graph Elementary algebra Embedding Enumeration Existential quantification Exotic sphere Fibration Formal power series Fundamental group Geometric topology Geometry and topology Geometry Group action Homotopy Integer Intersection form (4-manifold) Isolated singularity Jones polynomial Knot complement Knot group Knot theory Laws of Form Lens space Linking number Manifold Module (mathematics) Morwen Thistlethwaite Normal bundle Notation Obstruction theory Operator algebra Pairing Parity (mathematics) Partition function (mathematics) Planar graph Point at infinity Polynomial ring Polynomial Quantity Rectangle Reidemeister move Remainder Root of unity Saddle point Seifert surface Singularity theory Slice knot Special case Statistical mechanics Substructure Summation Symmetry Theorem Three-dimensional space (mathematics) Topological space Torus knot Trefoil knot Tubular neighborhood Underpinning Unknot Variable (mathematics) Whitehead link Wild knot Writhe |
| ISBN | 1-4008-8213-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- I. INTRODUCTION -- II. LINKING NUMBERS AND REIDEMEISTER MOVES -- III. THE CONWAY POLYNOMIAL -- IV. EXAMPLE S AND SKEIN THEORY -- V. DETECTING SLICES AND RIBBONS- A FIRST PASS -- VI. MISCELLANY -- VII. SPANNING SURFACES AND THE SEIFERT PAIRING -- VIII. RIBBONS AND SLICES -- IX. THE ALEXANDER POLYNOMIAL AND BRANCHED COVERINGS -- X. THE ALEXANDER POLYNOMIAL AND THE ARF INVARIANT -- XI. FREE DIFFERENTIAL CALCULUS -- XII. CYCLIC BRANCHED COVERINGS -- XIII. SIGNATURE THEOREMS -- XIV. G-SIGNATURE THEOREM FOR FOUR MANIFOLDS -- XV. SIGNATURE OF CYCLIC BRANCHED COVERINGS -- XVI. AN INVARIANT FOR COVERINGS -- XVII. SLICE KNOTS -- XVIII. CALCULATING σr FOR GENERALIZED STEVEDORE'S KNOT -- XIX. SINGULARITIES, KNOTS AND BRIESKORN VARIETIES -- APPENDIX. GENERALIZED POLYNOMIALS AND A STATE MODEL FOR THE JONES POLYNOMIAL -- KNOT TABLES AND THE L-POLYNOMIAL -- REFERENCES |
| Record Nr. | UNINA-9910154751303321 |
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Kauffman Louis H.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| 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 |
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Cesari Lamberto
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Topological Methods in the Theory of Functions of a Complex Variable. (AM-15), Volume 15 / / Marston Morse
| Topological Methods in the Theory of Functions of a Complex Variable. (AM-15), Volume 15 / / Marston Morse |
| Autore | Morse Marston |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (153 pages) : illustrations |
| Disciplina | 517.5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Functions of complex variables
Topology |
| Soggetto non controllato |
0O
0Q Absolute value Addition Additive group Admissible representation Arc (geometry) Arc length Bernhard Riemann Big O notation Boundary (topology) Boundary value problem Branch point Canonical form Cartesian coordinate system Central angle Clockwise Compact space Concentric Conformal map Continuous function Contour line Convex set Corollary Countable set Critical value Curve Deformation theory Diameter Euclidean vector Euler characteristic Existential quantification Family of curves Finitary Finite set Function (mathematics) Harmonic function Homeomorphism Homotopy Inference Integer Interior (topology) Intersection (set theory) Isolated point Jordan curve theorem Length Limit point Maxima and minima Maximal arc Meromorphic function Metric space Minimum distance Normal family Parameter Parametrization Partial derivative Picard theorem Point at infinity Polar coordinate system Polynomial Quantity Rado's theorem (Ramsey theory) Real variable Rectangle Remainder Riemann surface Rigid body Saddle point Sequence Set (mathematics) Similarity (geometry) Simply connected space Special case Subset Summation Theorem Theory Topological property Topology Unit circle Unit vector Without loss of generality |
| ISBN | 1-4008-8234-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Foreword -- Table of Contents -- Chapter I. Pseudo-Harmonic Functions -- Chapter II. Differentiable Boundary Values -- Chapter III. Interior Transformations -- Chapter IV. The General Order Theorem -- Chapter V. Deformations of Locally Simple Curves and of Interior Transformations -- References -- Glossary |
| Record Nr. | UNINA-9910154742503321 |
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Morse Marston
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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