Front Matter
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Editorial: It's Voting Time Again!
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Tales from the Mathematical Classroom. The Presidential Address, 2002
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Cedric Smith: A Mathematical Castaway
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The Story of Blanche Descartes
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The Number of Ways of Grading Examination Candidates
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Heron Triangles and Touching Circles
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On Napoleon Triangles and Propeller Theorems
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A Unique Property of Right-Angled Triangles
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Some Features of the General Fermat Point
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Mersenne Composites and Cyclotomic Primes
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A Polynomial That Is a Statistical Prism
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Diagrams for Difficult Problems in Probability
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87.01 Sums of Squares with Digit Restrictions
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87.02 Sums of Consecutive Positive Integers
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87.03 The Prime Factors of 2n
2
+1
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87.04 When Is n a Member of a Pythagorean Triple?
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87.05 A Simple Proof of the Fundamental Theorem of Arithmetic
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87.06 A Theorem on Rational Numbers
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87.07 The Golden Euro
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87.08 The Dimension of the Space of Magic Squares
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87.09 Fermat Row-Eliminated Matrices and Some Binomial Determinants
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87.10 On the Ratio of the Inradius to the Circumradius of a Triangle
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87.11 How Do We Tackle
$\int_{0}^{1}[(1-x^{m})/(1-x^{n})]dx$
?
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87.12 Generalising an Integration 'Joke'
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87.13 Maths Bite: Seeing the Divergence of the Harmonic Series
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87.14 Limits of Certain Sequences
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87.15 Improving the Convergence of Monotonic Series
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87.16 On Computing the Value of π from the Series for sin x: A Novel Linearisation Procedure
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87.17 An Unusual Product for sin z and Variations of Wallis's Product
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87.18 A Curious Identity Revisited
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87.19 A Property of Additive Functions
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87.20 The Irrationality of
$\sqrt{2}$
,
$\sqrt{3}$
,
$\sqrt{5}$
$\sqrt{6}\ \ldots $
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87.21 Curious Numbers Revisited
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87.22 Some Identities for an Old Combinatorial Sum
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87.23 Triangles with a 60° Angle and Sides of Integer Length
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87.24 Rep-Multiple Tile Sets
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87.25 More Sequences from Polygons
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87.26 Some Geometrical Examples of Proof by reductio ad Absurdum
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87.27 Areal Coordinates at the Circus
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87.28 A Geometrical Key to the Solution of the Differential Equation:
$\frac{d^{2}x(t)}{dt^{2}}=-\omega ^{2}x(t)$
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87.29 Combining Sets of Marks
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Correspondence
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Problem Corner
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Student Problems
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Back Matter
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