Art of Thinking Rationally. Shortcuts in Mathematics and in Life

It is generally accepted that the key to success is hard work. But not he brings genuine success at all - it is brought by shortcuts: shorter and shorter and more light, faster and more convenient ways to solve a particular problem. Thanks to such rational paths, we achieve outstanding results. And according to one of the greatest mathematicians in the world of Marcus Du Sotoy, mathematics is the real art of shortcut and the best means of saving time. Each of us can make our lives more comfortable with a few shorts.
“You have a choice. There is an obvious route, long and tiring, on which you will not see anything beautiful along the way. A journey through it will take a lot of time and leave you completely without strength, but sooner or later you will still get to the destination. But there is another road. To find where she branches out from the main path is not at all easy - and it seems that she leads you away from the goal, and does not bring you closer to her. But then you notice the pointer with the inscription “shortcut”. He promises a quick crossing over rough terrain, which will allow you to get to the target for less time and with minimal expenses of effort. The choice is yours. This book directs you along the second path. This is your shortcut for the better thinking that you will need to go along this non -standard route and get exactly where you want. ” (Marcus du hundred)