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The English language is difficult to learn, and impossible to master, for many different reasons. Chief among these is the fact that words are not always spelled as they are pronounced. There is a whole list of spelling rules, and some of these often contradict rules you have learned earlier, and so you have to start over again. Expect the unexpected when it comes to English spellings, and always stay alert. This book will help you get real...

If you can reduce the amount of work to complete your mathematical assignments, you save time. And time is the most important resource we have. This book is all about making the most logical approximations so that we can save work and time. You will learn many techniques in these pages, and I will attempt to explain the reasoning behind each, so that there is no rote learning involved, but deep logical processes at every step. I have also i...

Two words can always have any number of different relationships with each other. It can be something superficial like the fact that they start with the same later, or something strange like the fact that they have the same number of letters. But the most interesting relationships are usually those of synonyms and antonyms: words which mean approximately the same thing, or words that have opposite meanings. These are very important when you stu...

Of the millions of spelling errors made by English speakers and writers every day, more than 90% of them are misspellings of 10% commonly misspelled words. Therefore, there is a very efficient way to reduce the number of spelling errors you make. You just need to identify the commonly used English words that are usually not spelled correctly by most people, and you will solve most of your problems. This book does just that: I have collected ...

Being able to calculate in your head is a skill that never fails to elicit admiration. Even though most cumbersome arithmetic manipulations are nowadays carried out with the aid of calculators or computers, there is still something impressive about being able to multiply, add, subtract, or divide two huge numbers in your head. We might not be as powerful as computers any more, but it is always good to keep our minds alert. However, this is n...

There's a fairly reliable recipe to make yourself feel ashamed: just make a silly spelling error in an important piece of writing, and watch as someone else catches you out. One tiny moment of carelessness can lead to embarrassment in both personal and professional contexts. This book will make sure that this never happens to you. It uses statistical analysis to find the words that you are most likely to misspell, and then uses a tried and t...