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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  
Open Book Publishers, 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
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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
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
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
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]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
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
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
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
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui