Contents (PDF File 6KB)
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Editorial |
|
1 |
Articles |
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| Desert Island Theorems: my magnificent seven |
Tony Crilly |
2 |
| The ellipse and the five-centred arch |
Paul L. Rosin and Michael L.V. Pitteway |
13 |
| Vectors as quaternions: a corner of linear algebra |
J. D. Weston |
25 |
| Three concurrent chords of a conic |
C. F. Parry |
36 |
| The main body of some irrational complex functions |
Irena Kosi-Ulbl |
42 |
| Generalising 'Sums of cubes equal to squares of sums' |
John Mason |
50 |
| Exploring cyclotomic polynomials |
D. G. C. McKeon and T. N. Sherry |
59 |
| Clarifying conditional calculations with 'Jolly Roger' |
Roger W. Johnson |
66 |
| Memories of Sir Wilfred Cockcroft |
Tony Crilly |
72 |
Notes 85.01 to 85.22 |
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|
| On a geometric proof of trigonometric formulas involving the
tangent |
Isao Asiba and Masakazu Nihei |
75 |
| Sofas and ladders |
Michael Smith |
77 |
| Two proofs concerning 'Octagon loops' |
Martin Griffiths |
80 |
| A very curious number |
G. Jackson |
84 |
| Using intuition to sum a series |
Jouko J. Virtanen |
86 |
| On sums of powers of the natural numbers |
J. A. Scott |
89 |
| Square-plus-two primes |
Raymond A. Beauregard and E. R. Suryanarayan |
90 |
| A conjecture on prime number races |
Paul Thompson and Steve Abbott |
91 |
| Weighted Fibonacci and Lucas sums |
Thomas Koshy |
93 |
| The Secret Santa problem revisited |
R. Pinkham |
96 |
| An old limit revisited |
P. Sawyer |
97 |
| Markov chains in cricket revisited |
Sarah Bendall and Mike Eggar |
101 |
| Least squares revisited |
P. Glaister |
104 |
| Avoiding the drop |
I. Anderson and J. R. Gillett |
107 |
| Winning rings revisited |
Roger Voles |
109 |
| More on the relative position of means I |
C. E. M. Pearce and J. Pečarić |
112 |
| More on the relative location of means II |
Nick Lord |
114 |
| Derivative of trigonometrical functions via matrices |
Yukio Kobayashi |
116 |
| More publicity for a median-mean inequality |
Nick Lord |
117 |
| Evaluation of two more improper integrals |
Frank Chorlton |
121 |
| New light on some very familiar formulae |
Michael A. B. Deakin |
122 |
| Combining trigonometric functions by way of vector products |
Yukio Kobayashi |
124 |
Obituary |
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| Mary Bradburn |
John Hebborn |
129 |
Correspondence |
|
128 |
Currency corner |
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| Pacioli's Summa |
Chris Pritchard |
129 |
Problem corner |
G. T. Q. Hoare |
130 |
Students problems |
Tim Cross |
137 |
41st International Mathematical Olympiad |
Imre Leader |
140 |
Book Reviews |
|
144 |
Short Reviews |
|
187 |
Acknowledgements |
|
191 |
