Why do you use the numbers of the previous life in the bookkeeping and use the abacus? Simply in terms of pasture statistics, in addition to the number of various types of livestock, there is also a total. That is, all the livestock are converted into cattle and horses, whether it is three sheep or four sheep are counted as one cow, and the final total is the number of cattle. In this way, it is good to calculate how much area of the pasture can be grazing how many livestock, how much forage should be prepared in winter, and how well the herdsmen will perform. This principle is the same as the use of two units of stone and horses in the financial accounts of the imperial court, that is, the value of money, a horse of silk, a stone of grain and a tael of silver is roughly considered to be equal, and it is a financial unit, so as to calculate fiscal revenue and expenditure.

The method of summing up the calculation of financial figures is a method that statistics and mathematics are underdeveloped and have to be adopted, and in practice it is very inaccurate. For example, the market price of one tael of silver is different from money, from less consistent to two consistent, different from year to year. Not to mention the price of grain, the price of rice, wheat and millet are all different, and the price of silk is the same. The roughness of this unit alone has caused countless wastes. Without such calculations, with the current system and manpower, it will be impossible to complete financial statistics, let alone talk about various fiscal policies.

This is the case with the account books reported to the state in Yongcheng County, and the grain tax is calculated in two ways. The physical delivery is a number, and the total amount of the final account is another number, and the two are actually incompatible, and they must be discounted and changed.

A necessary change loss, a lack of money, made Du Zhongxiao hate. Not to mention ordinary people, special financial and accounting officials often make mistakes, and the budget and financial audit are full of mistakes and omissions.

If one day I have the opportunity to preside over the finances, I must get rid of this evil. Because of the statistical units, systems, and customs, the amount of financial waste caused is very staggering, and it is unavoidable in ancient and modern times, both in China and abroad. It is only the advanced system and statistical methods that can reduce this ratio, which is equivalent to increasing fiscal revenue. What's even more terrifying is that this mistake will accumulate, and as time goes by, watching the numbers on the books continue to increase, the real materials that can actually be used do not know where they go.

A simple classification and aggregation requires the most basic knowledge of the four operations, otherwise the statistics will be incomplete. The funny thing is that in this era, people who can do four arithmetic operations are even rarer than those who can write poems and lyrics, and it is rare to be able to calculate tens of thousands of hundreds of thousands of additions and subtractions correctly. Du Zhongxiao also wants to start arithmetic, but whoever will teach, what teaching materials to use, and where to find students, must start from scratch.

Mathematics is the foundation of everything, and the Great Song Dynasty of this era is at the forefront of the world in cutting-edge research in mathematics, but in terms of popularity, it is no better than some commercially developed areas. Du Zhongxiao doesn't need to bring any advanced mathematical principles to the world, as long as he compiles the mathematical knowledge of primary and junior high school in his previous life into teaching materials to teach more people, it is a great achievement, and it may create a scientific revolution.

Luo Jing is the first person Du Zhongxiao came to this world and met with a talent for numbers. He doesn't need to be a mathematician, as long as he can learn the basic four arithmetic, be able to use the abacus skillfully, and sort out the accounts, he is a great talent.

Dealing with some official documents casually, Du Zhongxiao returned to the back office, and on a whim, drew the form he had just given to Chen Qin in the study. In fact, the statistics of this era use blank paper, and the person who fills in the paper does not even need to know the words, as long as they know what to write in the blank space. This kind of statistical information is extremely difficult to use, and the audit is extremely complicated, and it is often a genius who can sort out the accounts. For example, former Prime Minister Ding Wei and other extremely smart people can quickly draw numbers from these piles of paper, relying on their extraordinary memory and mental arithmetic ability, how can ordinary people have that ability. Du Zhongxiao can do it, and he will not be satisfied with the Jinshi exam desperately, how can he fight for the top five.

The knowledge about accounting that Du Zhongxiao can remember in his previous life is the most familiar with double-entry bookkeeping. He didn't know the specific content, just from the name, he knew roughly what was going on, nothing more than the simultaneous recording of income and expenditure, entry and exit, etc., so that the number could be seen at a glance and traced. Trying to draw a table of the fifth-class Ding production book, Du Zhongxiao laughed to himself. Actually, this thing is very simple, just an idea.

Occasionally, I remembered the geometric knowledge taught Tao Seventeen a few days ago, which gave him a headache about the prescription problem, Du Zhongxiao had an idea, can the prescription be made into a table if the prescription is different. Not only squares, but also squares, logarithms, trigonometric functions, and other mathematical knowledge can be made into tables, which is not how elementary and junior high schools were taught in the previous life. These things, like rulers and compasses, are the basic tools of mathematics.

Just when Du Zhongxiao was like a child who had found a new toy and was busy, Tao Seventeen came to ask for a meeting.

After entering the door and saluting, Tao Qiqi peeked at the messy painting on Du Zhongxiao's table, and said with his hands crossed: "Official, what kind of forging hammer did you let the small one make, the small one has been made, and the craftsmen who used it have said that it is good." Officials can go and have a look. ”

Du Zhongxiao took a low one casually, got up and said, "Okay, take me to see it." ”

Walking to the road, Tao Qiqi couldn't help it: "Official, what's on that piece of paper you brought?" Do you want to teach me? ”

Du Zhongxiao smiled and handed him the note in his hand, and said, "It's not to teach you, but to test you." A few days ago, I taught you how to open the "Sutra of Calculations", although you have learned it, but you are not proficient. Count from one to one hundred on this paper, and you fill in the square on it, and practice more. ”

Tao Qiqi took the paper in his hand, and when he saw that it was densely packed, he couldn't help but feel bitter. The method of opening the square has been from the "Zhou Ji Sutra", and later various calculations have been involved, and the method has been very mature. Du Zhongxiao's intention was to familiarize Tao Qiqi with the mathematical operation methods he taught him, especially the method of pen calculation, and by the way, he would first list the square table within 100, which could be slowly supplemented later.

To be an engineer, it is not enough to be ingenious, you must have a simple knowledge of geometry, as well as the ability to calculate. From the very beginning, Du Zhongxiao did not take the road of skilled craftsmen to do industry, but introduced to preliminary engineering, so it was natural to lay a solid foundation.

Fortunately, mathematics in China has a long history, and most of the mathematical knowledge below junior high school in the previous life has been scattered in various arithmetic books. It's just that there is a lack of systematic organization, no axiomatic theorem system, and no symbol system, which is not conducive to teaching or learning. Du Zhongxiao plans to find a group of talented people to sort out this system and form a preliminary mathematical discipline. As for where he will go in the end, it is not his concern. To believe that human beings never lack genius, but only lack the soil for genius to grow, it is enough to open the door and pave the way yourself.

The two talked as they walked, and after a while, they arrived at the construction site. It hasn't stopped since the steel was smelted a few days ago and thirty fine steel knives were made. It's just that instead of crafting steel swords, they instead craft various farm tools and other artifacts.

In addition to the twenty knives sold to Peng Xinshu, Du Zhongxiao also left ten knives, which were counted as samples. Two days ago, I sent a handful to the state to Xinzhizhou Xia Zhu, which made him admire for a long time. With that steel knife, Xia Zhu is now very supportive of Du Zhongxiao's various undertakings, but he has very strict requirements for all field affairs and account books, and requires them to be sent to him regularly. Xia Zhu's attitude made Du Zhongxiao mutter, not knowing what kind of person this was.

As soon as he entered the field, Tao Seventeen took Du Zhongxiao to a forging hammer. I saw a forging hammer standing up, which kept falling "knock, knock", and did not need to be hammered. The two craftsmen in front of the hammer, each guarding an iron furnace, were building a sickle, and were in full swing.

Ploughs, hoes, sickles, and shovels are the four major pieces of agricultural tools, and the market sales are excellent, as long as they are made, they will not worry about selling. Du Zhongxiao has a good steel bonus here, which can be used on the blade, and has the reputation of steel knives, and people from several nearby states come to buy it.