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The Mathematical Gazette November 2007
The Mathematical Gazette
CONTENTS
Editorial
385
Articles
Simplicity and Surprise in School Mathematics
Doug French
Presidential Address 2007
387
Leonhard Euler (1707-1783)
Graham Hoare
406
Intriguing integrals: an Euler-inspired odyssey
Nick Lord
415
Euler and combinatorics
Ian Anderson
428
Euler and triangle geometry
Geoff Smith
and
Gerry Leversha
436
Euler's contribution to number theory
Peter Shiu
453
Further forays into
dimensions
Douglas Quadling
462
Man versus Computer
Stan Dolan
469
On the Diophantine equation
Clotilde Luz Clifton-Everest
481
Magic letter groups
Mike Pearson and Ian Short
493
‘Catch-up' numbers
Martin Griffiths
500
Notes 91.58 to 91.71
An unusual proof that
divides
using hyperbolic functions
Thomas J. Osler
and
Adam Hilburn
510
Elementary bounds for the
prime
Des MacHale
512
Solving cubics by solving triangles
Douglas W. Mitchell
514
Running a divergent numerical algorithm backwards ˜ application to the solution of
non-linear equations
Stuart Simons
517
From immersion heaters to buoys
Prithwijit De
and
Des MacHale
519
An optimal inequality
Zhiqin Lu
521
A touch of heuristics
Des MacHale
523
A question of balance: an application of centroids
Michael de Villiers
525
Steiner-Lehmus, revisited
Roy Barbara
528
Yet another Kiepert point
J. A. Scott
529
Bridging parallelograms of equal area
J. A. Scott
530
Can you ‘bend' a truncated octahedron?
Philip W. Kuchel
533
An elementary proof of Pick's theorem
J. Trainin
536
Deleting blocks of names from a list
Martin Griffiths
540
Teaching Notes
Teaching integration
Michael D. Hirschhorn
547
Vector addition in the 21st century
Des MacHale
547
Are even numbers more common than odd numbers?
Jeremy D. King
549
Golden bounds for the roots of quadratic equations
Nick Lord
549
Feedback
550
Correspondence
560
Problem Corner
Nick Lord
561
Student Problems
Tim Cross
566
Reviews
569
Acknowledgements
© The Mathematical Association 2007
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dimensions 
divides 
using hyperbolic functions
prime