Reflections on "This is a Good History of Mathematics" 1 The story about mathematics spans thousands of years. This book is divided into two parts: a brief history of mathematics and a brief history of mathematical concepts. While introducing mathematical knowledge, it also tells the history and development of mathematics in various periods and regions, and solves many mathematical problems.
This part introduces the history and development of mathematics in many fields. The beginning of mathematics, Greek mathematics, Indian mathematics, Arabic mathematics and so on. A Brief History of Mathematical Concepts introduces the achievements and related topics of many important figures in mathematics through examples. The story of the number "0" is very interesting. In the fourth century, the Babylonians used a dot to avoid the confusion of cuneiform symbols, and "0" began its life as a placeholder. But at this time, it is just a symbol to skip something. In the 9th century, India began to regard 0 as a number. At that time, the eastern countries were dominated by calculation, while the west was dominated by geometry. Therefore, when the Arab mathematician Al-Hua-La-Z-Mo first introduced the symbol and concept of 0 to the West, it once aroused the confusion of Westerners, and it took a long time to establish the idea of treating 0 itself as a number.
After reading this book, I admire the wisdom of the ancients, marvel at the long history of mathematics and have a deeper understanding of mathematical knowledge. Mathematics originates from life but is higher than life. Nowadays, mathematics is widely used in life, and many things cannot be separated from mathematics. Therefore, we don't want to do any deeper research on mathematics, but we should love it more. And we should learn from our predecessors' persistent spirit of exploring the unknown, and learn and understand the mathematical knowledge we are learning now. I think this is very important.
After reading this is a good history of mathematics, what is mathematics? In my impression, mathematics is nothing more than an unforgettable formula in which symbols and numbers are constantly calculated, but this book "This is a Good History of Mathematics" has given me a brand-new experience.
From an early age, I heard adults say that mathematics comes from the ubiquity of life. For example, the notebook is rectangular in shape, which is the mathematics in life. This looks simple, but why should it be designed as a rectangle? Baskets that are usually used to hold things also contain mathematical elements, and mathematics was first born when new humans met the needs of life. No one knows exactly how long mathematics began. In the age of ignorance, people had the consciousness of number, and then gradually formed the concept of number.
As early as in the early days, people were studying pi, but they couldn't work out a really accurate number of pi. From about 65438 BC to 0650 BC, people have studied pi for a long time. But why do people spend so much experience to study pi? Pi is an irrational number, and the numbers are random, just like a wormhole, which is very charming. And the circle is also very important in our life, just like binoculars, bowls, wheels, bowls are more convenient to eat, unlike square bowls, it is more convenient to clean the circle. Tires are round because rolling friction is smaller than sliding friction. Circles provide a lot of convenience for our lives.
Digital computer is also a great invention of mankind. During World War II, alan turing designed several electronic machines to help with cryptanalysis. He led Britain to successfully crack the so-called password of the German submarine command, and numbers can also become a cryptic warning. Digital computers can read and form numbers quickly. In 20xx, Professor Yasushi Kanda's team also used a digital computer to calculate 12 digits after the decimal point, which was many times faster than the original query method, which was amazing.
Mathematical theory is like a toolbox, and people have been making this toolbox more humanized for us to use. Mathematics is like a tall tower. People have been building it. It is people who constantly contribute to this tall building that it can be built higher and stronger.
Mathematics is not rigid, but vivid. Only by understanding the history of mathematics can we learn mathematics better.
Reflections on "This is a Good History of Mathematics" 3 If you want to learn mathematics well at any starting point, you need to know the relevant questions first, and then you can give the meaning of the answer-introduction.
Mathematics seems to be a boring subject, but it is one of the most useful tools in our life. It is the cradle of physical chemistry and biology, the foundation of political economy, a fair name in the market and a necessary tool for us to quantify ourselves ... Yes, mathematics is a "toolbox"! So, how did the predecessors make this tool more humanized and let us make good use of it? After reading This is a Good History of Mathematics, I learned a lot.
This is an easy-to-understand history of mathematics, which introduces the historical process of mathematics from the recorded source to the initial arithmetic, and then to algebra, geometry and other fields. This book introduces the beginning of mathematics, mathematics in ancient Greece, mathematics in ancient India, mathematics in ancient Arabia, mathematics in medieval Europe, 15,16th century algebra.
In the long search for mathematics, many ancient cultures were born, and these ancient cultures developed all kinds of mathematics. Among them, the history of ancient Iraq spans thousands of years, including Sumer, Babylon, Assyria, Persia, Greece and other civilizations. Occasionally, all these civilizations understand and use mathematics, but there are many changes. What I have to mention here is ancient Greek mathematics. Before that, the application of mathematics in various civilizations was only used to help and solve some simple problems in life, and sometimes dissatisfied people would have simple explorations, but Greek mathematicians were unique. They regard logical reasoning and proof as the center of mathematics, which is why they have changed the meaning of using mathematics forever.
Mathematics originates from life but is higher than life. Today's mathematics is widely used in life. Let's love math together! Pay tribute to those who have made great contributions to mathematics!
Reflections on "This is a Good History of Mathematics" 4. Mathematics is a boring subject, and I have thought so since I was a child. However, through this winter vacation, this book "This is a Good History of Mathematics" opened a door of knowledge and culture, which made me have a deeper understanding and thinking about mathematics and realized its charm.
Mathematics has a very long history, which dates back a long time. At that time, people had just come into contact with it, and with the changes of the times, the culture of mathematics became more and more profound. It is precisely because of the great contributions of those great mathematicians that future generations of mankind will develop mathematics better and better. For example, Euclid, a Greek mathematician from Alexandria, summed up the principles of Euclid geometry from a few axioms, and wrote five other works on spherical geometry, perspective, number theory, conic curve and rigor. Euclid was therefore called "the father of geometry".
Mathematical culture is wonderful. What impressed me most was the Arab mathematical culture. Arab mathematicians not only make algebra an important part of mathematics, but also make important contributions to geometry and trigonometry. At the same time, Pascal Triangle, that is, Yang Hui Triangle, is also known to them. The characteristic of Arab mathematical culture is that it can absorb the most useful essence from other mathematical knowledge and develop it.
There are many formulas and definitions in mathematics that mathematicians have discovered and proved, and we all feel boring. But mathematics has its own soul and meaning of existence. Proud once said, "Mathematics gives life to the truth it finds; It evokes the mind and clarifies wisdom; It adds luster to our inner thoughts; It washes away our ignorance and ignorance since birth. " Because of mathematics, the human nation has developed more and more smoothly; Because of mathematics, human life has become colorful. ...
The development of mathematics is not as smooth as we imagined, but it has experienced numerous difficulties and setbacks before it became our modern mathematics. Its achievement is made by mathematicians' research and thinking day and night, which makes mathematics really show its value. China's mathematics has a long history and has its own characteristics and significance. Important mathematical definitions and theories are always based on inheriting and developing the original theories. They will not change the original theory, but often contain the original theoretical ideas. It is precisely because we constantly inject soul power into it that it can become stronger and more brilliant!
The study of the history of mathematics allows us to better understand the meaning of mathematics, so as to discover, forge ahead and learn in the ocean of knowledge, and gradually form a love for mathematics!
After reading "This is a Good History of Mathematics", 5 Mathematics is a shining pearl in the long history. Mathematics is inseparable from life, and its shadow can be seen everywhere. This winter vacation teacher showed us a book called This is a Good History of Mathematics. Have a deeper understanding of the different history of mathematics development in different countries. Let me have a different understanding of mathematics from it.
We have been studying mathematics at school, but we have never studied the development of mathematics. Through reading this book, I also understand that the development of mathematics from ancient times to the present is very long but meaningful. Just like the mathematics we are learning now, there are actually stories explored by mathematicians behind it. We can also feel the persistence of mathematicians in pursuing truth. This book not only talks about the development of mathematics in China, but also talks about the development of mathematics in many countries. We have also seen the vastness of mathematics, and now we have only scratched the surface.
In the long history of mathematics development, there are always some mathematicians who have never lost their brilliance. They promoted the development of mathematics and were truly printed in the long river of history. But on the road of exploring mathematics, there are still many people who have been quietly exploring behind their backs, and the reason that can support them to go on is love. I want to explore more because I love it.
The exploration of mathematics. It belongs not only to a certain country, but to all mankind. Just as the center of ancient Greek mathematics was geometry, they also explored many truths about geometry. But these truths are finally used all over the world, so all mankind is consistent in exploring mathematics. Although the fifth century marked the end of ancient Greek mathematics, ancient Greek mathematics also gave people a lot of truth.
Through reading this book, I not only understand the history of the development of mathematics, but also understand that the development of mathematics is endless and innovative, the key to opening the door to science and the crystallization of human wisdom.
After reading "This is a Good History of Mathematics", 6 Mathematics may be just a boring subject for us, but when studying this subject, who has thought about where mathematics came from and how it developed? ...
I didn't know this at first, but I used the right words. Mathematics is familiar to me but unfamiliar: speaking of familiarity, it has been quite a long time since I first came into contact with mathematics in primary school; Speaking of strangers, since I first came into contact with mathematics, I don't know the development and origin of mathematics.
The book History of Mathematics summarizes the emergence and development of mathematics, and it is easier for people to understand by writing the history of mathematics development for thousands of years in the form of books. At the same time, the history of mathematics explains the concept of mathematics itself clearly while telling the history of development.
From Greeks to Godel, many geniuses appeared in the development of mathematics. Although the development of mathematics has followed the development of mathematics in Europe, it still keeps pace with China, Indian and Arabian civilizations. History of Mathematics sums up all the mathematical civilizations in the world, which is very classic.
In the book, I learned that in the early days of human society, the history of mathematics was an abstract science. Engels pointed out: "The degree of application of mathematics in a science marks the maturity of this science." Today, mathematics provides indispensable technical and theoretical support for science and society.
Mathematics is also a discipline with strong accumulation. Important mathematical theories are always based on inheriting and developing the original theories. Instead of overthrowing the original theory, they always tolerate and do more research on the original basis.
After reading this book, I have a new understanding of mathematics, a deeper understanding of the charm and greatness of mathematics, and a deep respect for my predecessors. The book History of Mathematics is a very rare book to record the history of mathematics development. It is not only clear and easy to read, but also an excellent textbook on the history of mathematics.
After reading "This is a Good History of Mathematics", the first chapter of seven books is a brief history of mathematics *** 12, in chronological order. From 37,000 years to the present, human beings are making continuous progress, and mathematics is also progressing with human progress. In this book, the abstraction and mystery of mathematics are emphasized.
The knowledge we are learning now is summed up by our ancestors after long-term exploration, research and discussion. The stories and formulas in the book are refreshing. For example, when the ancient Egyptians calculated the area of a circle, they actually calculated the approximate value of the circle. Now everyone knows π r, but the ancient Egyptians used (8/9 d) to approximate the S circle. It can be found that the ancient Egyptians did not use "π" in this formula, which is more convenient.
I noticed a story: Since the 2nd 1 century, Clay College, under the leadership of Clay, decided to choose seven math topics and give each topic a bonus of110,000 dollars, but these seven math topics are about the "Millennium problem". The book didn't mention what these seven questions were, so I looked them up online. They are: Daya conjecture, Hodge conjecture, Naville-Stokes equation, P and NP problems, Poincare conjecture, Riemann hypothesis and Yang-Mills theory. These seven questions are really difficult, the kind that even you can't understand.
There is a problem related to Kepler's conjecture: how to put the largest number of spheres in the smallest space, which I think is a bit similar to singularity, but it seems untenable. But in the eyes of mathematicians, this seems to be a very interesting and worth thinking about. Thomas hales finally proved it.
Mathematics is abstract and infinite, and their appearance is probably invented by our ancestors for the convenience of life. Today, mathematics is making continuous progress, but there are still many very difficult questions waiting for us to answer. Mathematics not only plays an important role in life, but also is a common language.
Comments on "This is a Good History of Mathematics" 8 I recently read the first half of the book "This is a Good History of Mathematics". After reading it, I deeply feel that mathematics is such an interesting and rich subject.
This book records the historical process of mathematics from the recorded source to algebra, geometry (plane geometry, solid geometry, analytic geometry), statistics, operational research and other fields. This book introduces15-16th century ancient Greece, ancient India, ancient Babylon, ancient China and medieval Europe in the order of historical development.
On the basis of introducing the development of mathematics, this book also expounds 30 common concepts related to basic mathematics independently and brilliantly from a historical perspective, reproduces the elegant demeanour of Pythagoras, Euclid, Euler and other mathematical masters, and especially intersperses the great contributions made by female mathematicians in the development of mathematics, restoring the real and interesting history of mathematics for readers from all aspects.
Mathematics, like literature, physics, art, economy or music, is the result of continuous development and efforts of human beings. It has a past history, a future development and a wide application today. The mathematics we study and use today is very different from the mathematics one thousand years ago, five hundred years ago or even one hundred years ago in many ways. 2 1 century, mathematics will undoubtedly develop further. Learning math is like knowing someone. The more you know about his past, the more you can understand his present and future and interact with him.
If you want to learn mathematics well at any starting point, you need to know the relevant questions in order to give meaningful answers to them. Understanding a problem often depends on understanding the concept, so if you want to understand mathematics, read This is a Good History of Mathematics.
After reading "This is a Good History of Mathematics" 9 Before I read the history of mathematics, mathematics was a very difficult subject in my mind. Mathematics floats in my mind, like a withered butterfly, rigid and tasteless.
But after reading the history of mathematics, I know that mathematics has a long history. I learned that in the early days of human society, mathematics, language, art and religion together constituted the earliest civilization of mankind. Mathematics is the most abstract science, but the most abstract mathematics can breed the gorgeous flowers of human civilization. This makes mathematics the most basic tool in human culture. In modern society, mathematics is providing indispensable theoretical and technical support for the development of science and society.
As written in the book, perhaps telling some interesting stories in math class can improve students' concentration and interest, and then introduce them into the classroom.
Maybe it's because I'm nearsighted (? ) I always think that China's mathematics is profound and unfathomable, and China's mathematics has the highest influence and status in the world. But in fact, the median is very influential (99 multiplication table, the two sides of 1 1 are added in the middle), but Greek mathematics is unique, although in modern mathematics, the logical reasoning and proof of Greek mathematicians are placed at the center of mathematics. Mathematicians may be different, but they definitely have financial resources, time and talent for mathematics. I'm afraid their preciseness and professionalism are hard for me to pursue all my life.
Generally speaking, mathematics is the process of human creative activities, not just a formal result; Looking at mathematics science and mathematics education from the viewpoint of dialectical materialism, in the process of their formation and development, they not only show the characteristics of contradictory movements, but also have close ties with society, politics, economy and general human culture, and these ties are as mellow as long xusu, silky, inseparable and unbreakable!
The history of mathematics is not only a chronological record of mathematical achievements. The development of mathematics is by no means smooth sailing. In the case of following reading, it is full of hesitation, wandering, experiencing difficulties and twists and turns, and even facing difficulties and crises. The discovery of irrational numbers, calculus and the creation of non-Euclidean geometry ... These examples can help people understand the real process of mathematical creation, and they are packaged in the form of theorems to theorems in textbooks. Understanding this creative process can make people learn from exploration and struggle, gain inspiration and enhance confidence.
I believe that in the future, the influence of the history of mathematics will affect my life. I also hope that China's mathematics can have a long history, from "Nine Chapters of Arithmetic" to "Zhou Kuai Suan Jing", showing more colors of "Oriental Mathematics"!
After reading This is a Good History of Mathematics 10, mathematics has a long history. Through this book, I have a basic understanding of the history of mathematics. Let me have a preliminary understanding of the historical process of the emergence and development of mathematics, and at the same time feel the rigorous attitude and persistent exploration spirit of mathematicians.
In a word, this is a good history of mathematics, which introduces ancient Greece, ancient India, ancient Babylon, ancient China and medieval Europe. This book introduces the development of mathematics in various countries in detail, linking mathematics on the world map with geography.
Among them, in Arabic mathematics, Pascal Triangle, which we are very familiar with, is mentioned, which makes me know more about Yang Hui Triangle and the important contributions made by Arabs in geometry and trigonometry.
Speaking of π, I think of 3. 14 15926 ... infinite cyclic number. But π does not represent a number at first, but the Greek letter corresponds to the English letter P, so π has a long history. The book also illustrates that from about 1650 BC to 20xx, people can only calculate the approximate circumference of a circle, which can be calculated with modern calculators without error. It can be seen that mathematicians are persistent in mathematics.
Combined with historical geography, this book tells us a unique and charming history of mathematics, and also makes me feel the unique charm of mathematics.
Which school has a better Cambridge course?
I think the Cambridge courses of famous schools are better only by their own acceptance. Can some people get good grades even i