Contents
|
Editorial |
|
1 |
Articles |
|
|
| Tales
from the Mathematical Classroom |
Sue
Sanders
|
3 |
| Cedric
Smith - a mathematical castaway |
Tony
Crilly
|
18 |
| The
story of Blanche Descartes |
Cedric
A. B. Smith and Steve Abbott |
23 |
| The
number of ways of grading examination
candidates
|
W.
T. Tutte and Cedric A. B. Smith |
34 |
| Heron
triangles and touching circles |
Christopher
J. Bradley
|
36 |
| On
Napoleon triangles and propeller theorems |
Zvonko
Èerin
|
42 |
| A
unique property of right-angled triangles |
Gyula
Darvasi
|
51 |
| Some
features of the general Fermat point |
S.
Simons
|
60 |
| Mersenne
composites and cyclotomic primes |
Jim
MacDougall
|
71 |
| A
polynomial that is a statistical prism |
Mark J.
Osborne and Michael J. Osborne |
76 |
| Diagrams
for difficult problems in probability |
Peter
C.-H. Cheng and Nigel G. Pitt
|
86 |
|
Notes 87.01 to
87.29
|
|
|
| Sums
of squares with digit restrictions |
V.
Tyagi
|
98 |
| Sums
of consecutive positive integers |
Tom
M. Apostol
|
98 |
The prime factors of |
K.
Robin McLean
|
101 |
When is
a
member of a Pythagorean triple? |
Dominic
and Alfred Vella
|
102 |
| A
simple proof of the fundamental theorem
of arithmetic |
Paolo
Starni
|
106 |
| A
theorem on rational numbers |
Christopher
J. Bradley
|
107 |
| The
golden euro |
Douglas
Quadling
|
111 |
| The
dimension of the space of magic squares |
A.
F. Beardon
|
112 |
| Fermat
row-eliminated matrices and some
binomial determinants |
H.
Teimoori and M. Bayat
|
114 |
| On
the ratio of the inradius to the circumradius
of a triangle |
Michael
S. Longuet-Higgins
|
119 |
How do we tackle
|
S.
Simons
|
120 |
| Generalising
an integration 'joke' |
Nick
Lord
|
123 |
| Maths
bite: seeing the divergence of
the harmonic series |
Nick
Lord
|
125 |
| Limits
of certain sequences |
Masakazu
Nihei
|
126 |
|
Improving the convergence of
monotonic series |
J. A. Scott |
128 |
On computing the value of
from
the series for
--
a novel linearisation procedure |
S.
Simons
|
129 |
| An
unusual product for and
variations of
Wallis's product |
Thomas
J. Osler
|
134 |
| A
curious identity revisited |
Robin
Chapman
|
139 |
| A
property of additive functions
|
ÁrpÁd
BÉnyi
|
141 |
The irrationality of
,
,
,
|
A.
L. Brown
|
143 |
| Curious
numbers revisited |
Manfred
Ritter
|
144 |
| Some
identities for an old combinatorial sum |
Michel
Bataille
|
144 |
| Triangles
with a 60° angle and sides of integer
length |
Bob
Burn
|
148 |
| Rep-multiple
tile sets |
Paul
Stephenson
|
154 |
| More
sequences from polygons |
Martin
Griffiths
|
157 |
| Some
geometrical examples of proof by
reductio ad
absurdum |
J.
A. Scott
|
161 |
| Areal
coordinates at the circus |
J.
A. Scott
|
162 |
A
geometrical key to the solution of the differential equation:
|
Yukio
Kobayashi
|
163 |
| Combining
sets of marks |
David
Frost
|
166 |
Correspondence |
|
169 |
Problem Corner |
Graham Hoare |
171 |
Student Problems |
Tim Cross |
175 |
Reviews |
|
178 |