Easy Maths Tricks Formulas

对数学有了这个简单的数学技巧和公式变得更容易

“I was never any good at mathematics.”

I must have heard this sentence from a thousand different people.

I cannot dispute that it may be true: people do have different strengths and weaknesses, different interests and priorities, different opportunities and obstacles. But, all the same, an understanding of mathematics is not something anyone is born with, not even Pythagoras himself. Like all other skills, from portraiture to computer programming, from knitting to playing cricket, mathematics can only be developed through practice, that is to say through actually doing it.

Nor, in this age, is mathematics something anyone can afford to ignore. Few people stop to worry whether they are good at talking or good at shopping. Abilities may indeed vary, but generally talking and shopping are unavoidable parts of life. And so it is with mathematics. Rather than trying to hide from it, how about meeting it head on and becoming good at it?

Sounds intimidating? Don’t panic! The good news is that just a handful of central ideas and techniques can carry you a very long way. So, I am pleased to present this app: a no-nonsense guide to the essentials of the subject, especially written for anyone who “was never any good at mathematics.” Maybe not, but it’s not too late!

Before we get underway, here’s a final word on philosophy. Mathematical education is split between two rival camps. Traditionalists brandish rusty compasses and dusty books of log tables, while modernists drop fashionable buzzwords like “chunking” and talk about the “number line.” This app has no loyalty to either group. I have simply taken the concepts I consider most important, and illustrated them as clearly and straightforwardly as I can.

Many of the ideas are as ancient as the pyramids, though some have a more recent heritage. Sometimes a modern presentation can bring a fresh clarity to a tired subject; in other cases, the old tried and tested methods are the best.

This app includes:

The language of mathematics

Addition

Subtraction

Multiplication

Division

Primes, factors and multiples

Negative numbers and the number line

Decimals

Fractions

Arithmetic with fractions

Powers

The power of 10

Roots and logs

Percentages and proportions

Algebra

Equations

Angles

Triangles

Circles

Area and volume

Polygons and solids

Pythagoras’ theorem

Trigonometry

Coordinates

Graphs

Statistics

Probability

Charts