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The Mathematical Gazette Nov 2000

Volume 84 Number 501

Editor Steve Abbott


Contents


Articles
   
Developing the mathematical feel John Berry 368
Improving the efficiency of racing shell oars Maurice N. Brearley and Neville J. de Mestre 405
Why are proofs difficult? Tony Barnard 415
Beauty is truth: geometric inequalities Dmitry Mavlo 423
The factorial function David Fowler 433
A proof of Eperson's conjecture Michael D. Hirschhorn 442
Large prime quadruplets Tony Forbes 447
Vector products F. Gerrish 453
Determinants of block matrices John R. Silvester 460
Difference equations, binomial coefficients and exponential functions Géza Makay 468
Using House margins to compare casino gambling opportunities John S. Croucher 475
Gregory of St Vincent and the rectangular hyperbola Bob Burn 480

Notes 84.50 to 84.61
   
Royal Mail 4-state Barcodes E. Keith Lloyd 486
A teacher's confession Cathy Smith 490
Iterative solutions of F(x) = 0 R. V. W. Murphy 493
Illuminating all triangles Roy Barbara 499
On Maekawa's trigonometric inequality Mowaffaq Hajja 501
Perpendiculars and inscribed polygons Larry Hoehn 502
Another reductio ad absurdum for the tetrahedron J. A. Scott 504
Solving general linear diophantine equations Michael Fox 505
Optimising sums of cubes of integer differences David C. Blest 509
A graphical approach to n1/n J. A. Scott 513
The mean value theorem of Lagrange generalised to involve two functions Jingcheng Tong 515
Timetable spread Jeremy King 516

Correspondence
 
519

Currency corner
   
Newton and his predecessors Chris Pritchard 521

Problem corner

G. T. Q. Hoare

522

Students problems

Tim Cross

532

Extended Review

Chris Pritchard

534

Book Reviews
 
544

Short Reviews
 
572

For further information about The Mathematical Gazette please contact the Editor.