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Please note that in this book the mathematical formulas are encoded in MathML.
While reading, you can right-click on any of the formulas to control the appearence of mathematics in the entire document and to display the underlying code.

About this book
Worked Problems
 Worked problem 1
 Worked problem 2
 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