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Preface to Walking in the Mathematical Garden
Open this book and I'll take you for a walk in the math garden.

You have learned a lot about mathematics. This knowledge is at the gate of the math park, or not far from it. Many beautiful flower beds and sheds have been built in these places, and many tall buildings have been built. Your knowledge of mathematics is the foundation of these buildings.

This time, let's try our best to see the new scenery of the math garden!

The garden of mathematics is very big and divided into many small areas, which are called branches of mathematics. Algebra and geometry you study are branches of mathematics. Each branch is divided into many small branches. Almost all departments, big or small, have our compatriots working; Some branches left deep footprints of our ancestors. You must want to know what these craftsmen are doing there.

They are hoeing, watering and planting flowers. They are repairing, rebuilding and building beautiful buildings.

Walk with me all the way! All kinds of scenery will attract your love and attention.

Novel problems emerge one after another, and each branch has its own unique problems. Some you can see its practical value at a glance; Some of you will think that this is a serious theoretical study; Some of you will find this an interesting intelligence test; Some people may disagree with your usual view.

These problems are qualified representatives in their own branches.

In order to solve these problems, people spend a lot of time and energy. They pondered repeatedly, some put forward new ideas and ideas, and some thought of new methods and technologies.

Look at their achievements and listen to their comments, and you can get in touch with the pulse of modern mathematics and feel how it beats.

I hope you're not just content to look.

Whenever you encounter a new problem, you should think about what kind of problem it is, and can you solve it?

Whenever you hear a new idea, you should think about it. What is the essence of this idea, and does it inspire you?

Whenever you see a new method, you should think about its beauty. Can it be used to solve other problems?

Otherwise, you will go into the treasure garden and return empty-handed.