By Herbert McKay

Arithmetic has a name of being uninteresting and tough. here's an antidote. This full of life exploration of mathematics considers its easy approaches and manipulations, demonstrating their worth and gear and justifying a permanent curiosity within the topic. With humour and perception, the writer exhibits how easy arithmetic pertains to lifestyle - as real now as whilst this booklet was once initially released in 1940. The introductory therapy of hundreds of thousands, billions or even trillions can be profitably learn through aspiring bankers, economists or politicians. H. G. Wells is lightly teased for his mistake in using the legislations of proportionality in a singular. McKay courteously adjusts the astronomical scales chosen by way of the eminent cosmologist Sir James denims. He with a bit of luck navigates the risks of averages, approximations and devices. For a person drawn to what numbers suggest and the way they are often used such a lot successfully, this publication will nonetheless teach and enjoyment.

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We can then find the logarithm of e to base io; suppose e=io*. ) Then a = e'= (10*)*= io* 1 We find the logarithm of a to base e (that is we find x), and then multiply xhy k which is the logarithm of e to base io. It is known that Iog10« =-43429. Hence we find the logarithms of numbers to base e, and then multiply them by -43429 to change them to base io. Logarithms to base e are called Naperian logarithms after the inventor. A useful series for finding logarithms to base e is: 3W+^f++5 * + e t c 'J The series runs on indefinitely, but the numbers rapidly get less, so that we soon reach a point where we can cease to bother about them.

Take a simple example: if articles are sold each at the same price, then the total cost of a number of articles is proportional to the number of articles: total cost = c x number of articles. Here c obviously stands for "the cost of one article"; this is a constant quantity for any particular example, but it would be different in another example. Distance in miles = c x time in seconds. For the distance travelled by light c stands for " 186,000 miles per second". The production of machines is usually proportional to the PROPORTION 39 time they are working.

As two bodies move apart the attraction that each has for the other dies away at the same rate that heat and light die away. We can write the proportion as an equation: attraction between two bodies „ mass of one body x mass of other body (distance)2 G stands for the constant in the proportion; it is called the constant of gravitation. This constant is extraordinary; it appears to be a universal constant—the same for the attraction between any two bodies anywhere. It is not like the constant for the radiation of heat and light from the sun; this constant is the same for the whole solar system, but it would be a different constant if we had a different sun, or if the sun's energy were to increase or fade away.