Advanced problems in mathematics : preparing for university /

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"This book is intended to help students prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Papers). STEP examinations are used by Cambridge colleges as the basis for conditional offers in mathematics and sometimes in other mathematic...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Siklos, S. T. C. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Open Book Publishers, [2016]
Colección:OBP series in mathematics ; v. 1.
Temas:
Mathematics > Study and teaching (Higher)
Calculus > Problems, exercises, etc.
Geometry > Problems, exercises, etc.
Probabilities > Problems, exercises, etc.
Mathematics > Problems, exercises, etc.
Mathematics > Examinations, questions, etc.
Mathematics and science.
Mathematics.
MATHEMATICS > Geometry > General.
MATHEMATICS > Essays.
MATHEMATICS > Pre-Calculus.
MATHEMATICS > Reference.
Calculus.
Geometry.
Probabilities.
Examinations.
Problems and exercises.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • About this book
  • STEP
  • Worked Problems ; Worked problem 1 ; Worked problem 2 ; Problems
  • 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 of 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 P73 Collecting voles P74 Breaking a stick P75 Random quadratics
  • Syllabus

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