• 1
Book Chapter
...H Hanoi Towers...
• 2
Book Chapter
...In 1970 John Conway offered a \$50 prize for anyone who the game Ljfe came up with a Life pattern that grows without bounds. Computer programmers all over the...
• 3
Book Chapter
...The nineteenth-century French mathematician Édouard Lucas (see Chapter H) investigated the numbers in the Fibonacci sequence (Fibonacci numbers) in great...
• 4
Book Chapter
...X X,Y,Z Coordinates, Descartes and Tennis Balls...
• 5
Book Chapter
...In a way Von Neumann could afford to party, since he 1 had been bom lucky - lucky enough to have a great mind, that did not forget. He had a true photographic...
• 6
Book Chapter
...A magic square is a square of numbers using the integers 1 , 2 , . . n2, such that the sums of the numbers in each row, each column and each diagonal are the...
• 7
Book Chapter
...With a class you have the perfect environment to do large-scale trials. So let's ask a question. When you throw two coins, what is the chance that you get two...
• 8
Book Chapter
...One famous code-cracking adventure was that of the British code-breakers at Bletchley Park during the Second World War. The Germans used a machine with wheels...
• 9
Book Chapter
...When he had found out that it was universally true he wrote down all his ideas, checking carefully to make sure that he had not made any errors. Then he did a...
• 10
Book Chapter
...When I talk to my students about the great mathematicians of the past, one difficulty that always appears is the idea of greatness. They believe that I, as...
• 11
Book Chapter
...Let's look at the method of constructing a hexagon around the circle. First divide the circle into six equal parts by drawing three lines through the centre of...
• 12
Book Chapter
...In 1737 Euler proved that e is irrational, that is, it cannot be written as a fraction. Here is his proof. Using the above series with x = l gives Assume that...
• 13
Book Chapter
...When you are watching a television programme such as o f the Pops, and the pictures curl up into a cylinder or a sphere before tumbling out of view, you are...
• 14
Book Chapter
...R Ramanujan...
• 15
Book Chapter
...No one can doubt my words when I say that circles are special. Our clocks mark out the hours as the world turns full circle. Orbiting around us is the Moon, as...
• 16
Book Chapter
...We all played with yo-yos, superballs, spinning tops and other such toys when we were young. These types of toys are part of childhood and I find that students...
• 17
Book Chapter
...The mystery of time travel is full of excitement. 'A wonderful adventure, but it's not science, this time travel,' I hear you say, 'and it is definitely not...
• 18
Book Chapter
...D Dragon Curve...
• 19
Book Chapter
...Tartaglia's solution was so good that it went beyond the mathematical knowledge of the day. For example, consider the equation x3 - 15x = 4, which has x = 4 as...
• 20
Book Chapter
...Juggling for the Complete Klutz was a Christmas present from my brother. It came with a set of 'thuds', which is what jugglers call juggling balls. As...