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Advanced problems in mathematics : preparing for university / / Stephen Siklos
| Advanced problems in mathematics : preparing for university / / Stephen Siklos |
| Autore | Siklos Stephen |
| Pubbl/distr/stampa | Open Book Publishers, 2016 |
| Descrizione fisica | 1 online resource (174 pages) : illustrations ; digital, PDF file(s) |
| Disciplina | 510.711 |
| Collana | OBP Series in Mathematics |
| Soggetto topico |
Mathematics - Study and teaching (Higher)
Calculus Geometry |
| Soggetto non controllato |
geometry
calculus probability and statistics undergraduate mathematics course step examinations advanced mathematical problems Imaginary unit Stationary point Trigonometric functions |
| ISBN |
1-78374-145-7
1-78374-144-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | About this book -- STEP -- Worked Problems ; Worked problem 1 ; Worked problem 2 ; Problems-- ‡a P1 An integer equation P2 Partitions of 10 and 20 P3 Mathematical deduction P4 Divisibility P5 The modulus function P6 The regular Reuleaux heptagon P7 Chain of equations P8 Trig. equations P9 Integration by substitution P10 True or false P11 Egyptian fractions P12 Maximising with constraints P13 Binomial expansion P14 Sketching subsets of the plane P15 More sketching subsets of the plane P16 Non-linear simultaneous equations P17 Inequalities P18 Inequalities from cubics P19 Logarithms P20 Cosmological models P21 Melting snowballs P22 Gregory's series P23 Intersection of ellipses P24 Sketching x m ( 1 - x ) n P25 Inequalities by area estimates P26 Simultaneous integral equations P27 Relation between coefficients of quartic for real roots P28 Fermat numbers P29 Telescoping series P30 Integer solutions of cubics P31 The harmonic series P32 Integration by substitution P33 More curve sketching P34 Trig sum P35 Roots o ‡a f a cubic equation P36 Root counting P37 Irrationality of e P38 Discontinuous integrands P39 A difficult integral P40 Estimating the value of an integral P41 Integrating the modulus function P42 Geometry P43 The t substitution P44 A differential-difference equation P45 Lagrange's identity P46 Bernoulli polynomials P47 Vector geometry P48 Solving a quartic P49 Areas and volumes P50 More curve sketching P51 Spherical loaf P52 Snowploughing P53 Tortoise and hare P54 How did the chicken cross the road? P55 Hank's gold mine P56 A chocolate orange P57 Lorry on bend P58 Fielding P59 Equilibrium of rod of non-uniform density P60 Newton's cradle P61 Kinematics of rotating target P62 Particle on wedge P63 Sphere on step P64 Elastic band on cylinder P65 A knock-out tournament P66 Harry the calculating horse P67 PIN guessing P68 Breaking plates P69 Lottery P70 Bodies in the fridge P71 Choosing keys P72 Commuting by train P ‡a 73 Collecting voles P74 Breaking a stick P75 Random quadratics -- Syllabus |
| Record Nr. | UNINA-9910136292503321 |
Siklos Stephen
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| Open Book Publishers, 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Complex Analysis with Applications / Nakhlé H. Asmar, Loukas Grafakos
| Complex Analysis with Applications / Nakhlé H. Asmar, Loukas Grafakos |
| Autore | Asmar, Nakhlé H. |
| Pubbl/distr/stampa | Cham, : Springer, 2018 |
| Descrizione fisica | viii, 494 p. : ill. ; 24 cm |
| Altri autori (Persone) | Grafakos, Loukas |
| Soggetto topico |
97-XX - Mathematics education [MSC 2020]
97I80 - Complex analysis (educational aspects) [MSC 2020] |
| Soggetto non controllato |
Applications complex analysis
Cauchy integral theorem Cauchy residue theorem Cauchy-Goursat theorem Cauchy-Riemann equations Complex analysis textbook adoption Complex plane Composed mapping Conformal mappings Contours in the complex plane Harmonic Functions Laplace equation Maximum modulus principle Polar form Schwarz lemma Schwarz-Christoffel transformation Trigonometric functions Undergraduate text complex analysis |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0124609 |
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Asmar, Nakhlé H.
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| Cham, : Springer, 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Degree of Approximation by Polynomials in the Complex Domain. (AM-9), Volume 9 / / Walter Edwin Sewell
| Degree of Approximation by Polynomials in the Complex Domain. (AM-9), Volume 9 / / Walter Edwin Sewell |
| Autore | Sewell Walter Edwin |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (252 pages) |
| Disciplina | 512.22 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Approximation theory
Polynomials |
| Soggetto non controllato |
0B
Addition Antiderivative Approximation Arbitrarily large Arc (geometry) Arc length Big O notation Bijection Bounded set (topological vector space) Branch point Circumference Coefficient Complex analysis Complex number Conformal map Connected space Constant of integration Continuous function Covering space Derivative Difference "ient Differentiable function Dimension Elementary proof Equation Even and odd functions Existence theorem Existential quantification Exterior (topology) Floor and ceiling functions Fourier series Function of a real variable Geometry Green's function Harmonic function Harmonic polynomial Infimum and supremum Infinitesimal Integer Isolated point Isolated singularity Iterative method Jordan curve theorem Least squares Lebesgue integration Lemniscate Limit (mathematics) Line integral Line segment Lipschitz continuity Logarithm Mathematician Modulus of continuity Natural number Notation Open problem Orthogonal polynomials Partial derivative Periodic function Point at infinity Polynomial Rational function Real variable Rectangle Requirement Riemann sum Root of unity Second derivative Set theory Sign (mathematics) Simply connected space Special case Suggestion Summation Surface integral Taylor series Theorem Theory Trigonometric functions Trigonometry Uniform convergence Unit circle Upper and lower bounds Variable (mathematics) Weight function |
| ISBN | 1-4008-8221-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Chapter I. Preliminaries -- Part I. Problem α -- Chapter II. Polynomial Inequalities -- Chapter III. Tchebycheff Approximation -- Chapter IV. Approximation Measured by a Line Integral -- Part II. Problem β -- Chapter V. Preliminaries -- Chapter VI. Tchebycheff Approximation -- Chapter VII. Approximation Measured by a Line Integral -- Chapter VIII. Special Configurations -- Bibliography |
| Record Nr. | UNINA-9910154748503321 |
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Sewell Walter Edwin
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Elementary Differential Topology. (AM-54), Volume 54 / / James R. Munkres
| Elementary Differential Topology. (AM-54), Volume 54 / / James R. Munkres |
| Autore | Munkres James R. |
| Edizione | [Revised edition.] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (132 pages) : illustrations |
| Disciplina | 513.83 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Differential topology |
| Soggetto non controllato |
Addition
Affine transformation Algebraic topology Analytic manifold Approximation Barycentric coordinate system Barycentric subdivision Basis (linear algebra) Brouwer fixed-point theorem CR manifold Centroid Chain rule Closed set Combinatorics Compact space Conjecture Continuous function Convex set Coordinate system Corollary Degeneracy (mathematics) Diameter Diffeomorphism Differentiable function Differentiable manifold Differential topology Dimension (vector space) Dimension theory (algebra) Dimension theory Disjoint sets Elementary proof Empty set Equation Euclidean space Existential quantification Function composition Fundamental theorem General topology Geometry Grassmannian Homeomorphism Homotopy Hyperplane Identity matrix Inclusion map Integer Intersection (set theory) Invariance of domain Jacobian matrix and determinant Line segment Linear algebra Linear equation Linear map Locally compact space Manifold Mathematical induction Matrix multiplication Metrization theorem Natural number Number theory Open set Partial derivative Partition of unity Polyhedron Polytope Regular homotopy Remainder Scientific notation Secant Similarity (geometry) Simplex Simplicial complex Smoothness Special case Submanifold Subset Tangent bundle Tangent vector Theorem Thickness (graph theory) Topological manifold Topology Trigonometric functions Unit cube Word problem (mathematics) |
| ISBN | 1-4008-8265-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Chapter I. Differentiable Manifolds -- Chapter II. Triangulations of Differentiable Manifolds -- References -- Index of terms -- Backmatter |
| Record Nr. | UNINA-9910154744903321 |
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Munkres James R.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Green's function estimates for lattice Schrödinger operators and applications / / J. Bourgain
| Green's function estimates for lattice Schrödinger operators and applications / / J. Bourgain |
| Autore | Bourgain Jean <1954-> |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2005 |
| Descrizione fisica | 1 online resource (184 p.) |
| Disciplina | 515.3/9 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Schrödinger operator
Green's functions Hamiltonian systems Evolution equations |
| Soggetto non controllato |
Almost Mathieu operator
Analytic function Anderson localization Betti number Cartan's theorem Chaos theory Density of states Dimension (vector space) Diophantine equation Dynamical system Equation Existential quantification Fundamental matrix (linear differential equation) Green's function Hamiltonian system Hermitian adjoint Infimum and supremum Iterative method Jacobi operator Linear equation Linear map Linearization Monodromy matrix Non-perturbative Nonlinear system Normal mode Parameter space Parameter Parametrization Partial differential equation Periodic boundary conditions Phase space Phase transition Polynomial Renormalization Self-adjoint Semialgebraic set Special case Statistical significance Subharmonic function Summation Theorem Theory Transfer matrix Transversality (mathematics) Trigonometric functions Trigonometric polynomial Uniformization theorem |
| ISBN |
1-4008-3714-6
0-691-12098-6 |
| Classificazione | 33.06 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Acknowledgment -- Chapter 1. Introduction -- Chapter 2. Transfer Matrix and Lyapounov Exponent -- Chapter 3. Herman's Subharmonicity Method -- Chapter 4. Estimates on Subharmonic Functions -- Chapter 5. LDT for Shift Model -- Chapter 6. Avalanche Principle in SL2(R) -- Chapter 7. Consequences for Lyapounov Exponent, IDS, and Green's Function -- Chapter 8. Refinements -- Chapter 9. Some Facts about Semialgebraic Sets -- Chapter 10. Localization -- Chapter 11. Generalization to Certain Long-Range Models -- Chapter 12. Lyapounov Exponent and Spectrum -- Chapter 13. Point Spectrum in Multifrequency Models at Small Disorder -- Chapter 14. A Matrix-Valued Cartan-Type Theorem -- Chapter 15. Application to Jacobi Matrices Associated with Skew Shifts -- Chapter 16. Application to the Kicked Rotor Problem -- Chapter 17. Quasi-Periodic Localization on the Zd-lattice (d > 1) -- Chapter 18. An Approach to Melnikov's Theorem on Persistency of Nonresonant Lower Dimension Tori -- Chapter 19. Application to the Construction of Quasi-Periodic Solutions of Nonlinear Schrödinger Equations -- Chapter 20. Construction of Quasi-Periodic Solutions of Nonlinear Wave Equations -- Appendix |
| Record Nr. | UNINA-9910790364803321 |
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Bourgain Jean <1954->
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| Princeton, New Jersey : , : Princeton University Press, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Green's function estimates for lattice Schrödinger operators and applications / / J. Bourgain
| Green's function estimates for lattice Schrödinger operators and applications / / J. Bourgain |
| Autore | Bourgain Jean <1954-> |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2005 |
| Descrizione fisica | 1 online resource (184 p.) |
| Disciplina | 515.3/9 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Schrödinger operator
Green's functions Hamiltonian systems Evolution equations |
| Soggetto non controllato |
Almost Mathieu operator
Analytic function Anderson localization Betti number Cartan's theorem Chaos theory Density of states Dimension (vector space) Diophantine equation Dynamical system Equation Existential quantification Fundamental matrix (linear differential equation) Green's function Hamiltonian system Hermitian adjoint Infimum and supremum Iterative method Jacobi operator Linear equation Linear map Linearization Monodromy matrix Non-perturbative Nonlinear system Normal mode Parameter space Parameter Parametrization Partial differential equation Periodic boundary conditions Phase space Phase transition Polynomial Renormalization Self-adjoint Semialgebraic set Special case Statistical significance Subharmonic function Summation Theorem Theory Transfer matrix Transversality (mathematics) Trigonometric functions Trigonometric polynomial Uniformization theorem |
| ISBN |
1-4008-3714-6
0-691-12098-6 |
| Classificazione | 33.06 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Acknowledgment -- Chapter 1. Introduction -- Chapter 2. Transfer Matrix and Lyapounov Exponent -- Chapter 3. Herman's Subharmonicity Method -- Chapter 4. Estimates on Subharmonic Functions -- Chapter 5. LDT for Shift Model -- Chapter 6. Avalanche Principle in SL2(R) -- Chapter 7. Consequences for Lyapounov Exponent, IDS, and Green's Function -- Chapter 8. Refinements -- Chapter 9. Some Facts about Semialgebraic Sets -- Chapter 10. Localization -- Chapter 11. Generalization to Certain Long-Range Models -- Chapter 12. Lyapounov Exponent and Spectrum -- Chapter 13. Point Spectrum in Multifrequency Models at Small Disorder -- Chapter 14. A Matrix-Valued Cartan-Type Theorem -- Chapter 15. Application to Jacobi Matrices Associated with Skew Shifts -- Chapter 16. Application to the Kicked Rotor Problem -- Chapter 17. Quasi-Periodic Localization on the Zd-lattice (d > 1) -- Chapter 18. An Approach to Melnikov's Theorem on Persistency of Nonresonant Lower Dimension Tori -- Chapter 19. Application to the Construction of Quasi-Periodic Solutions of Nonlinear Schrödinger Equations -- Chapter 20. Construction of Quasi-Periodic Solutions of Nonlinear Wave Equations -- Appendix |
| Record Nr. | UNINA-9910826528403321 |
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Bourgain Jean <1954->
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| Princeton, New Jersey : , : Princeton University Press, , 2005 | ||
| 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 |
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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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Precalculus : Practice Problems, Methods, and Solutions / Mehdi Rahmani-Andebili
| Precalculus : Practice Problems, Methods, and Solutions / Mehdi Rahmani-Andebili |
| Autore | Rahmani-Andebili, Mehdi |
| Pubbl/distr/stampa | Cham, : Springer, 2021 |
| Descrizione fisica | vii, 118 p. : ill. ; 24 cm |
| Soggetto non controllato |
Algebra of Functions
Applications of the derivative Calculus Definite and indefinite integrals Limits Derivatives Mathematics Reference Precalculus Trigonometric equations Trigonometric functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0275128 |
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Rahmani-Andebili, Mehdi
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| Cham, : Springer, 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Radically Elementary Probability Theory. (AM-117), Volume 117 / / Edward Nelson
| Radically Elementary Probability Theory. (AM-117), Volume 117 / / Edward Nelson |
| Autore | Nelson Edward |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (109 pages) : illustrations |
| Disciplina | 519.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Martingales (Mathematics)
Stochastic processes Probabilities |
| Soggetto non controllato |
Abraham Robinson
Absolute value Addition Algebra of random variables Almost surely Axiom Axiomatic system Borel set Bounded function Cantor's diagonal argument Cardinality Cartesian product Central limit theorem Chebyshev's inequality Compact space Contradiction Convergence of random variables Corollary Correlation coefficient Counterexample Dimension (vector space) Dimension Division by zero Elementary function Estimation Existential quantification Family of sets Finite set Hyperplane Idealization Independence (probability theory) Indicator function Infinitesimal Internal set theory Joint probability distribution Law of large numbers Linear function Martingale (probability theory) Mathematical induction Mathematician Mathematics Measure (mathematics) N0 Natural number Non-standard analysis Norm (mathematics) Orthogonal complement Parameter Path space Predictable process Probability distribution Probability measure Probability space Probability theory Probability Product topology Projection (linear algebra) Quadratic variation Random variable Real number Requirement Scientific notation Sequence Set (mathematics) Significant figures Special case Standard deviation Statistical mechanics Stochastic process Subalgebra Subset Summation Theorem Theory Total variation Transfer principle Transfinite number Trigonometric functions Upper and lower bounds Variable (mathematics) Variance Vector space W0 Wiener process Without loss of generality |
| ISBN | 1-4008-8214-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Table of contents -- Preface -- Acknowledgments -- 1. Random variables -- 2. Algebras of random variables -- 3. Stochastic processes -- 4. External concepts -- 5. Infinitesimals -- 6. External analogues of internal notions -- 7. Properties that hold almost everywhere -- 8. L1 random variables 30 -- 9. The decomposition of a stochastic process -- 10. The total variation of a process -- 11. Convergence of martingales -- 12. Fluctuations of martingales -- 13. Discontinuities of martingales -- 14. The Lindeberg condition -- 15. The maximum of a martingale -- 16. The law of large numbers -- 17. Nearly equivalent stochastic processes -- 18. The de Moivre-Laplace-Lindeberg-Feller-Wiener- Lévy-Doob-Erdös-Kac-Donsker-Prokhorov theorem -- Appendix -- Index |
| Record Nr. | UNINA-9910154754503321 |
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Nelson Edward
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 / / L. Boutet de Monvel, Victor Guillemin
| The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 / / L. Boutet de Monvel, Victor Guillemin |
| Autore | Boutet de Monvel L. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (168 pages) |
| Disciplina | 515.7/246 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Toeplitz operators
Spectral theory (Mathematics) |
| Soggetto non controllato |
Algebraic variety
Asymptotic analysis Asymptotic expansion Big O notation Boundary value problem Change of variables Chern class Codimension Cohomology Compact group Complex manifold Complex vector bundle Connection form Contact geometry Corollary Cotangent bundle Curvature form Diffeomorphism Differentiable manifold Dimensional analysis Discrete spectrum Eigenvalues and eigenvectors Elaboration Elliptic operator Embedding Equivalence class Existential quantification Exterior (topology) Fourier integral operator Fourier transform Hamiltonian vector field Holomorphic function Homogeneous function Hypoelliptic operator Integer Integral curve Integral transform Invariant subspace Lagrangian (field theory) Lagrangian Limit point Line bundle Linear map Mathematics Metaplectic group Natural number Normal space One-form Open set Operator (physics) Oscillatory integral Parallel transport Parameter Parametrix Periodic function Polynomial Projection (linear algebra) Projective variety Pseudo-differential operator Q.E.D. Quadratic form Quantity Quotient ring Real number Scientific notation Self-adjoint Smoothness Spectral theorem Spectral theory Square root Submanifold Summation Support (mathematics) Symplectic geometry Symplectic group Symplectic manifold Symplectic vector space Tangent space Theorem Todd class Toeplitz algebra Toeplitz matrix Toeplitz operator Trace formula Transversal (geometry) Trigonometric functions Variable (mathematics) Vector bundle Vector field Vector space Volume form Wave front set |
| ISBN | 1-4008-8144-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- §1. Introduction -- §2. GENERALIZED TOEPLITZ OPERATORS -- §3. FOURIER INTEGRAL OPERATORS OF HERMITE TYPE -- §4. THE METAPLECTIC REPRESENTATION -- §5. METALINEAR AND METAPLECTIC STRUCTURES ON MANIFOLDS -- §6. ISOTROPIC SUBSPACES OF SYMPLECTIC VECTOR SPACES -- §7. THE COMPOSITION THEOREM -- §8. THE PROOF OF THEOREM 7.5 -- §9. PULL-BACKS, PUSH-FORWARDS AND EXTERIOR TENSOR PRODUCTS -- §10. THE TRANSPORT EQUATION -- §11. SYMBOLIC PROPERTIES OF TOEPLITZ OPERATORS -- §12. THE TRACE FORMULA -- §13. SPECTRAL PROPERTIES OF TOEPLITZ OPERATORS -- §14. THE HILBERT POLYNOMIAL -- §15. SOME CONCLUDING REMARKS -- BIBLIOGRAPHY -- APPENDIX: QUANTIZED CONTACT STRUCTURES -- Backmatter |
| Record Nr. | UNINA-9910154743403321 |
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Boutet de Monvel L.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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