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How can teachers really understand mathematics?
0 1 Beauty of Mathematics (2nd Edition)

Wu

Content introduction:

A few years ago, the series of articles "The Beauty of Mathematics" was first published on Google Blackboard, which received millions of hits and was highly praised by readers. The reader said that after reading Beauty of Mathematics, it was discovered that the mathematical knowledge learned in college, such as Markov chain, matrix calculation and even cosine function, were so cordial and lifelike that natural language and information processing were so interesting.

Before the official publication, the author Dr. Wu Jun almost rewrote all the articles, in order to make the abstruse mathematical principles more popular and easy to understand, so that non-professional readers can also appreciate the charm of mathematics. What readers learn through concrete examples is the way of thinking-how to simplify the complex, how to solve engineering problems with mathematics, and how to think about innovation without thinking.

Reader evaluation:

02 mathematical kaleidoscope (* * * three volumes)

Ian Stewart

Content introduction:

When he was fourteen years old, ian stewart began to collect all kinds of mathematics that he found interesting but didn't teach at school, because he knew that what he learned at school was not the whole of mathematics. He found that mathematics that he couldn't learn in school was actually very interesting-in fact, a lot of mathematics would be full of fun, especially when he didn't have to worry about passing the exam or summing up correctly.

This book is a selection of Professor Stewart's books for more than 50 years. It is a hodgepodge of interesting math games, puzzles, stories and gossip. Most of the content is independent, and you can start reading from almost anywhere. Besides learning all kinds of interesting math knowledge and gossip, you can also participate in math, make math games and try to solve math problems. As a reference, the book finally gives the answers to those questions with known answers, as well as some supplementary explanations for further discussion.

This book is suitable for mathematics lovers at all levels to read, which can help cultivate their interest in learning mathematics and break their fear of mathematics.

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The Road to University (2nd Edition)

Wu

Content introduction:

The author Wu Jun studied and taught in Tsinghua University, and later received his doctorate from Johns Hopkins University. Because of his successful career, he became a director of the School of Engineering, and he was able to participate in the management of famous American schools for many years and train his daughter to enter MIT. Taking more than a dozen top universities in Britain and the United States visited by him and his daughter as samples, the author carefully wrote the road to universities in combination with his systematic research on American higher education for many years, first-hand information on visiting teachers and alumni of these universities, and his deep thinking and unique feelings.

In the book, the author expounds the educational ideas of famous British and American educators, systematically introduces the characteristics and differences of famous British and American schools, compares the educational differences between China and the United States, and gives some suggestions for the self-development of teenagers based on his own personal experience. The author has close contact with many universities in the United States, introduces many unknown details in the enrollment of famous universities in the United States, and emphatically analyzes the historical causes of some hidden rules and the countermeasures that applicants may need to take.

As a successful person, the author expounds the importance of education in life, and especially emphasizes that life is a marathon, and education is lifelong learning, not ending with obtaining a degree from a famous university. The author talks about the serious topic of university education in a relaxed way. The first volume mainly introduces the educational methods, school-running ideas and enrollment characteristics of British and American universities. In the second volume, the author leads readers to visit more than ten famous British and American schools in the form of semi-travel notes, which not only makes people feel personally, but also helps readers understand the characteristics of famous schools through examples.

This book has certain reference value for educators, parents, students and institutions studying abroad.

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Concrete Mathematics: Fundamentals of Computer Science (Second Edition)

Ronald Graham Donald Knusan Patashnik

Content introduction:

Concrete Mathematics: Fundamentals of Computer Science (Second Edition) is a classic mathematics textbook widely used in universities. The book explains a lot of mathematical knowledge and skills used in computer science, and teaches you how to evolve a practical problem into a mathematical model step by step, and then solve it by computer, especially in algorithm analysis. Its main contents involve summation formula, integral function, number theory, binomial coefficient, special number, generating function, discrete probability, asymptotic formula and so on. These are all necessary knowledge for programming.

Reader evaluation:

05 "Looking at the World with Mathematical Language"

Author: Hiroshi Otani

Content introduction:

Although this is the first book about mathematics written by the world-famous theoretical physicist Dr. Li Bosi for his daughter, Xiao Mu read this book and found it extremely suitable for everyone who wants to know about mathematics.

This book is both interesting and informative. Based on the clue of "mathematical language" to interpret nature, this book breaks through the order and teaching method of traditional mathematics education, directly explains the principle and related system of mathematical core concepts with historical events, vivid stories and metaphors, and explains the thinking mode of taking mathematics as "language" and exploring the invisible structure of nature with mathematics. It is a masterpiece of popular science to re-recognize and understand mathematics.

Reader's comment: As usual, if you have any suggestions or recommendations for the book, please leave a message for Xiao Mu ~