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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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Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105 / / Mariano Giaquinta
| Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105 / / Mariano Giaquinta |
| Autore | Giaquinta Mariano |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (309 pages) |
| Disciplina | 515/.64 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Calculus of variations
Multiple integrals Differential equations, Elliptic |
| Soggetto non controllato |
A priori estimate
Analytic function Boundary value problem Calculus of variations Coefficient Compact space Convex function Convex set Corollary Counterexample David Hilbert Dense set Derivative Differentiable function Differential geometry Dirichlet integral Dirichlet problem Division by zero Ellipse Energy functional Equation Estimation Euler equations (fluid dynamics) Existential quantification First variation Generic property Harmonic function Harmonic map Hausdorff dimension Hölder's inequality I0 Infimum and supremum Limit superior and limit inferior Linear equation Maxima and minima Maximal function Metric space Minimal surface Multiple integral Nonlinear system Obstacle problem Open set Partial derivative Quantity Semi-continuity Singular solution Smoothness Sobolev space Special case Stationary point Subsequence Subset Theorem Topological property Topology Uniform convergence Variational inequality Weak formulation Weak solution |
| ISBN | 1-4008-8162-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface / Giaquinta, Mariano -- Chapter I: Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems / Giaquinta, Mariano -- Chapter II: An Introduction to the Regularity Problem -- Chapter III: Linear Systems: The Regularity Theory -- Chapter IV: Systems in Variation: The Indirect Approach to the Regularity -- Chapter V: Reverse Holder Inequalities And LP-Estimates -- Chapter VI: Nonlinear Elliptic Systems: The Direct Approach to Regularity -- Chapter VII: Nonlinear Elliptic Systems: Special Structures and Everywhere Regularity -- Chapter VIII: A Few Remarks and Extensions -- Chapter IX: Direct Methods for the Regularity -- References -- Backmatter |
| Record Nr. | UNINA-9910154751703321 |
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Giaquinta Mariano
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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