My father bought me a book "Wandering in the Mathematics Garden" two years ago, which was given to our children for the first time by Professor Ma, a famous mathematician, computer expert, educator, linguist and popular science writer in China. At that time, I still couldn't understand some contents of the article. Now I can't help but be deeply attracted by the contents.
The garden of mathematics is very big and divided into many small areas, which are called branches of mathematics. Almost all mathematicians, big or small, are working hard, and some branches have 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.
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.
Grandpa Ma extended from simple life phenomena to interesting and complicated mathematical problems. For example, Grandpa Ma starts with our common maps. We ordinary people can't live without maps. Mathematicians are also very interested in maps. They have discovered a big secret, that is, the four-color problem. Through repeated guesses and experiments by mathematicians, all maps in ancient and modern times, at home and abroad can be dyed in four colors without destroying the dyeing principle. The four-color problem seems not difficult, but when you think about it carefully, it is not a simple problem. Because to answer this question, we have to examine all possible maps, countless maps and different types of maps, which are realized by mathematicians one by one. The workload is still too great. Finally, the electronic computer helped people, and this conjecture proved to be a theorem.
This question is not over yet. Grandpa Ma then leads to the problem that if we live in Saturn's rings, there will be seven colors, and then leads to a branch of mathematics-topology, a branch of geometry. Haven't you heard of it? Later, Grandpa Ma also introduced the "color number" on the bridge-the famous Euler formula:
V+F-E=2
People have long felt the problem of four colors, but it took 100 years to be proved by mathematicians. At first, mathematicians were not interested in this problem and thought it was too simple. Later, it was found that it was very difficult to prove and many related problems needed to be studied. The most important problem is the relationship between connected number and chromatic number, which was discovered by the great mathematician Euler. In the history of mathematics, many formulas were discovered by leonhard euler. They are all called Euler formulas, which are scattered in various branches of mathematics.
Students, if you are a little interested in mathematics, then walk into the magical and wonderful mathematics garden, and let us wander and think in this garden. If you master the following principles and stick to them, a new mathematician will be born, and that is you!
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 come back from the treasure garden and wander around the garden without finding anything.
I just finished reading the book Walking in the Mathematics Garden today. I always thought that the knowledge of mathematics was dead, so I just had to memorize it. I didn't expect math to be easy to learn.
I used to think math was easy to learn, but I was wrong. In mathematics, even the simple knowledge learned before is not so simple. If it is closely related to reality, it may not be solved at your current level. For example, the first chapter of this book, the problem of counting, seems to be a very common and simple topic, but it surprised me. The topic inside is so closely related to real life that I couldn't start at first. After careful consideration and integration with practice, the problem was finally solved.
The author of this book is Zhang Jing, a famous mathematician and computer expert in China. The book introduces some interesting mathematical knowledge, including counting problems, questions about exams, mathematics on maps, four-color problems, scouts' strategies, fuzzy mathematics and so on.
Although there are many problems in mathematics, in the process of constantly honing and challenging yourself, you will experience the real fun in mathematics.
After reading this book, I found that my math level is not high enough, so I should continue to work hard to become an excellent math student.
Thoughts after reading the third chapter of A Wandering in the Mathematics Garden Today, I read the book A Wandering in the Mathematics Garden and benefited a lot. The fresh scenery in the book dazzles me, and every new place shows its extraordinary and wonderful.
This book was written by Professor Ma. I like the four-color problem best, and I like to start from the simplest situation best. The four-color problem is to find an uncolored map of China and dye it. The principle of dyeing is: neighboring provinces should dye different colors. You see, Xinjiang, Qinghai and Gansu provinces are adjacent, so you have to take out three colored pencils. For example, if Gansu is dyed red, Qinghai is dyed yellow and Xinjiang is dyed green, then Tibet can only be dyed red next to Xinjiang and Qinghai. Sichuan should be dyed green, Shaanxi should be dyed yellow, and Henan should be dyed red to Hubei. There are yellow, red and green around, so we have to take out the blue one and dye it in Hubei Province, and then draw other places, so that we can dye the map with four colors. This is the famous four-color problem. Usually I always keep my eyes on the map, but I don't observe the math on the map carefully.
Starting from the simplest situation, this paper discusses how to arrange the processing sequence of parts, which can make the processing time faster. If two parts, A and B, are processed, there may be only two arrangements: either process A first, and then process B; Or conversely, deal with B first, and then deal with A; Whether AB is better or BA is better, of course, depends on how long it takes to process these two parts with lathes and milling machines. If the formula table is like this: Part A needs to be processed by lathe for 2 hours and by milling machine for 4 hours; B parts, lathe processing 3 hours, milling machine processing 3 hours; I will do this problem according to the previous secret. I must first find out the smallest number in the formula table, which is 2. If this number is the processing time of a part on the lathe, put it in front; If this number is the processing time of a part on the milling machine, put it at the end. And 2 is the processing time on the lathe, so it is placed in front; In other words, first use 2+4=6, and then use 6+3=9. This is AB's method, while BA's method is: 3+3=6, and then use 6+4= 10. Obviously AB's method is better.
Through this book "Wandering in the Mathematics Garden", I understand that mathematics is not as difficult and boring as we thought. As long as we study hard, we can make it simple and interesting.
The author of this book, Professor Ma, is a famous mathematician, computer expert, educator, linguist and popular science writer in China. Open this book and Professor Ma will take you for a walk in the math garden.
When I opened the book and counted in the first chapter, I was deeply fascinated by how to estimate the number of fish in the pond: we were going fishing in the reservoir. There are many people who like to eat fish, so try to catch as much as possible, but catching too much will affect the reproduction of fish. What should we do? There is a clever way: first catch 1000 fish, mark them, and then put them back into the water. After a while, I caught 1000 fish and counted how many fish were marked. If 20 fish are marked, then 1000 fish accounts for about 20/ 1000 of the total fish in the reservoir, which is 1/50, so it can be found that there are about 50,000 fish in the reservoir. I don't think this method needs to catch all the fish one by one. The fish are swimming around. It is impossible for us to choose a representative square water area to count the number of fish. This is a good method. It is a far cry from what I know about mathematics, and it is so natural and powerful that I finished reading this book with great curiosity. I really look like a child who was brought into the garden for the first time. I am fascinated by the fresh scenery, and every new place shows its extraordinary and wonderful. It was a deep shock, maybe it was the first time that I thought mathematics was really interesting!
Now I have encountered some mathematical forms, but the simple explanation in this book is unique and unparalleled in the world. This book contains a lot of "advanced" mathematics, especially mathematics related to information science, such as the basic knowledge of topology, a little graph theory and preliminary game theory. Although I don't understand some things, this is my most incredible and elusive thing, infinite discussion, simple mathematical logic and so on. I think Professor Ma must be very picky about the content of his article. I can't wait to recommend it to my good friends and let them see the "magic" of this book. These contents may be the most appropriate.
Mathematics is not only a beautiful science, but also has great practical value. This book pays special attention to this point when writing, and the examples given are all in real life. The benefits of writing like this are great. It emphasizes that mathematics is a concrete thing, and its abstraction is only a representation. If you only learn logic, then his mathematics is probably just a pile of rubbish. But I also think that people who can really learn math well must be attracted by its beauty. If you learn something, it is already a disadvantage to ask what practical problems can be solved with it. In fact, mathematics, which is widely used, must also belong to the beautiful part of mathematics. The creator's aesthetic view is still trustworthy.