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
|
||
| Open Book Publishers, 2016 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 |
Asmar, Nakhlé H.
|
||
| Cham, : Springer, 2018 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
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 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 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00124609 |
Asmar, Nakhlé H.
|
||
| Cham, : Springer, 2018 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
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 |
Sewell Walter Edwin
|
||
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 |
Munkres James R.
|
||
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 |
Bourgain Jean <1954->
|
||
| Princeton, New Jersey : , : Princeton University Press, , 2005 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 |
Bourgain Jean <1954->
|
||
| Princeton, New Jersey : , : Princeton University Press, , 2005 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Optimal Fractional-order Predictive PI Controllers : For Process Control Applications with Additional Filtering / Arun Mozhi Devan Panneer Selvam ... [et al.]
| Optimal Fractional-order Predictive PI Controllers : For Process Control Applications with Additional Filtering / Arun Mozhi Devan Panneer Selvam ... [et al.] |
| Pubbl/distr/stampa | Singapore, : Springer, 2022 |
| Descrizione fisica | xviii, 146 p. : ill. ; 24 cm |
| Soggetto non controllato |
Benchmark Functions
Dead-time Compensation Dead-time Processes Filtering Fractional-order Controller Fractional-order PI Controller Optimization PID-controller Predictive Controller Process Modelling Process control Trigonometric functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0278496 |
| Singapore, : Springer, 2022 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Optimal Fractional-order Predictive PI Controllers : For Process Control Applications with Additional Filtering / Arun Mozhi Devan Panneer Selvam ... [et al.]
| Optimal Fractional-order Predictive PI Controllers : For Process Control Applications with Additional Filtering / Arun Mozhi Devan Panneer Selvam ... [et al.] |
| Pubbl/distr/stampa | Singapore, : Springer, 2022 |
| Descrizione fisica | xviii, 146 p. : ill. ; 24 cm |
| Soggetto topico |
90-XX - Operations research, mathematical programming [MSC 2020]
93-XX - Systems theory; control [MSC 2020] |
| Soggetto non controllato |
Benchmark Functions
Dead-time Compensation Dead-time Processes Filtering Fractional-order Controller Fractional-order PI Controller Optimization PID-controller Predictive Controller Process Modelling Process control Trigonometric functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00278496 |
| Singapore, : Springer, 2022 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Precalculus : Practice Problems, Methods, and Solutions / Mehdi Rahmani-Andebili
| Precalculus : Practice Problems, Methods, and Solutions / Mehdi Rahmani-Andebili |
| Autore | Rahmani-Andebili, Mehdi |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | Cham, : Springer, 2023 |
| Descrizione fisica | x, 168 p. : ill. ; 24 cm |
| Soggetto topico |
00-XX - General and overarching topics; collections [MSC 2020]
08-XX - General algebraic systems [MSC 2020] 11-XX - Number theory [MSC 2020] 26-XX - Real functions [MSC 2020] |
| 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-VAN00278977 |
Rahmani-Andebili, Mehdi
|
||
| Cham, : Springer, 2023 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||