Mathematics Without Borders (translated by Lehto and Wang Shanping, Shanghai Education Press)
Traces of Ants edited by David Gale and translated by Zhu Huilin (USA); Topology experiment (USA) by Stephen Barr, translated by Xu Ming; Geometric Properties of Conic Curves Written by A. Cockshort and F. B. Walters (UK), translated by Jiang Sheng.
The Selected Works of World Popular Science published by Hunan Education Publishing House also contains several wonderful mathematics books, including the new edition of Panorama of Mathematics, the second edition of Curiosity of Topology, and the new edition of Journey of Mathematics (by Gifvars Peterson (USA)). These books are all written by Mr Qiu Guangming, an old translator.
American mathematician Klein's Ancient and Modern Mathematical Thoughts (Shanghai Science and Technology Publishing House)
Mathematical latitude and longitude in the 20th century (Zhang Dianzhou, East China Normal University Press)
Liaoning Education Publishing House has been making great efforts in publishing books on the history of mathematics. Their latest contributions are Collation and Interpretation of Zu Chongzhi's Scientific Works (by Yan Dunjie) and General History of the History of Mathematics in the World (by Liang Zongju, Volume I and II).
The Story of Mathematics (Hainan Publishing House), past lives who tells mathematics from a cultural perspective, is particularly beautifully illustrated and suitable for people who don't know much about mathematics. History of Mathematics (Scott
A man who knows everything. The other two books were also highly praised. "A Beautiful Mind-Biography of Nash" has been introduced a lot, so I won't leave much ink here.
In addition, Shanghai Science and Technology Publishing House published Hilbert-Alexander in the Mathematical World two years ago, which is also a concern of friends who love mathematics.
Martin gardner is a world-famous writer of mathematics popularization. He presided over the "Game Mathematics" column of Scientific American magazine for a long time. His works are characterized by "packaging" serious and cold mathematics with colorful social life, and integrating mathematics into games, entertainment, culture and even art, which makes people interested in reading.
From 65438 to 0999, Shanghai Science and Technology Education Press began to publish "Gardner's Interesting Mathematics Series". So far, eight kinds have been published, namely: fascinating and interesting mathematical problems, Sam Lloyd's interesting mathematical problems, the continuation of Sam Lloyd's interesting mathematical problems, Dr. Matrix's magic number, testing your logical reasoning ability and new interesting logical reasoning problems.
Symmetry (Will, translated by Feng Chengtian, etc. ), natural encounter-the origin of chaos and stability (Diacu, Wesley Wang) and how to solve problems-the new face of mathematics teaching method (Paulia, translated by Tu Hong), etc. ) In Shanghai Science and Technology Education Press, Princeton Library is undoubtedly a world-famous masterpiece.
Destiny is an equally wonderful work with an intriguing history. 10 years ago, Gleike's Chaos: Creating a New Science swept the world. Gerecke is a journalist, emphasizing the portrayal of his contemporaries; The famous popular science writer Stewart's "Does God Roll Dice" gives an artistic description of some theories and history. The book God is really wonderful, but the authors of Meet in Heaven are not satisfied. They want to reflect the origin of the chaos in1970s from a higher level.
Stewart's other masterpiece is The Second Mystery (translated by Zhou Zhongliang, Shanghai Science and Technology Press).
Schrodinger's what is life?
Flowers in Plane Geometry (Shan Tuzun, Shanghai Education Press) is a fascinating booklet recently written by Professor Shan, an expert in number theory and a senior coach of the Mathematical Olympics. It collects all kinds of plane geometry problems with different styles, including famous problems in history, problems carved in Japanese temples, and the latest discoveries of geometry experts such as Ye Zhonghao. Geometric problems have always been interesting, but most domestic works are plagiarized and have no new ideas. Professor Shan's books are high-minded, innovative in content and well written, and often can make the finishing point with a few strokes. In fact, every book by Professor Shan is worth reading carefully. Seeing small flowers really makes me feel like I'm in a garden, which is pleasing to the eye.
The publication of this book has a certain background. In recent years, some educators at home and abroad think that it is controversial to delete or even delete junior high school geometry. Nowadays, the views of international education circles are not so extreme. They realize that it is very important to read images and intuitive things in the picture age. Because geometry is the clearest in narration, it can cultivate interest in mathematics and logical reasoning, so we should pay attention to it.
Several other books published earlier are also worth mentioning. The central idea of Crossing the Gap (translated by Paulos, Shanghai Science and Technology Publishing House) is close to two cultures, but the style is quite different. Paulos is very good at applying probability, paradox and logic to literary masterpieces. The Story of Cryptography (written by Singer, translated by Zhu Xiaopeng of Hainan Publishing House) tells a very vivid and thorough history of cryptography that ordinary people dare not set foot in: from the simple password in ancient Egypt to the famous RSA public key password that came out more than 20 years ago. The story of Turing cracking the German password is well known, but the whole process can only be read in this book. Singer is also the author of Fermat's Last Theorem. The Beauty of Doing Mathematics-Three Public Speeches (written by Lan, translated by Li Delang, Sichuan University Press) is three speeches made by the world-famous mathematician Lan to a wide audience, involving indefinite equations, elliptic curves, topology and other profound things. However, Lan's speech was very popular, wonderful and interesting, and the audience listened with relish.
Li Yupei published a series of mathematical stories (China Children's Publishing House), including Adventures of a Desert Island, Wonderland of Numbers and Detective Axe. They are written in three forms: adventure novels, fairy tales and detective novels. The tortuous stories and pure mathematical knowledge are deeply loved by readers, especially young friends.
There are also many excellent mathematical sketch writers in China, such as Academician and Professor Tan. In the first half of this year, Zhang Jingzhong published "Lecture Album of Mathematicians" (China Children's Publishing House), including "The Eyes of Mathematicians" to help you learn mathematics and new concept geometry. Mathematicians are especially praised for their vision. In the book, mathematical problems such as the sum of the angles in the triangle, the density ratio, the same cage for chickens and rabbits, and the fixed point are explained. Or, we can learn something new by reviewing the past, or we can solve it skillfully, so that simple problems can be upgraded to profound mathematical problems, complex problems can be turned into easy-to-understand simple problems, and readers can understand the mathematician's way of thinking and appreciate the wonder and beauty of mathematics.
Nikolai Gogol's Digital Adventures (Pickover, translated by Tan, Shanghai Science and Technology Publishing House) seems to belong to an alternative mathematics book.
In China, in recent years, wiles's modal form theory has received unprecedented attention and become a highlight in monographs: Guang Bei University Press has published five kinds, namely, Lectures on Modal Form by Lu, Number Theory and Its Application by Ye, Modal Form and Trace Formula by Ye, Modal Curve Guidance by Pan Chengdong (this book is relatively shallow. Pan Shi Brothers' Fundamentals of Analytic Number Theory and Feng Keqin's Algebraic Number Theory published earlier by Science Press have been reprinted. For the history of Fermat's Last Theorem and the story of wiles, readers can refer to a special popular book published in China a few years ago.
"Number, the Language of Science" tells the development history of the concept of number ... from the perspective of culture, thought and even philosophy to talk about the development of mathematics. (Preface)
"Mathematics: A New Golden Age" tells many mathematical problems that attracted wide attention in the second half of last century. Such as prime numbers, sets, chaos, Fermat's last theorem and so on. The calculation is unexpected, a book about catastrophe theory.
Before "Five Guiding Theories of Mathematics in the 20th Century" and "Glory of Contemporary Mathematics to Human Mind", people have asked what is the relationship between mathematics and life, or what is the use of modern mathematics. I didn't know how to answer at that time. I believe these two books can give a perfect answer to people who also have this question.
Ant tracking and other mathematical explorations are a column in Math Messenger. Each chapter is a novel and interesting little example, such as triangle, paving the way, mysterious properties of sequences given by simple recursive relations, games and paradoxes.
Martin gardner, the author of Unexpected Hanging and Other Mathematical Entertainment, is no stranger. He has many books about math games. For this book, what I want to mention is the article about "Italian plug-in" and the feeling of "unexpected surprise in logical deduction"
The book "Digital Love" was first heard in the advertisement of "Middle School Mathematics". I remember that it was introduced in the previous pages. Ordos is famous as a mathematician who can't tie his shoelaces. This book tells the legendary experience of a rare contemporary mathematical genius.
In addition to the above "Digital Feelings-Biography of Erdos", I recommend "Logical Life-Biography of Godel" to understand the inner world of the greatest mathematical logician and creator of incomplete theorems in the 20th century. Speaking of Godel, everyone knows Einstein, and almost no one knows Godel ... I still remember last year when I pointed to a book and asked my classmates if they knew the four greatest contemporary scientists. Unfortunately, Godel is the only great man he doesn't know.
How to Solve Problems-A New Face of Mathematics Teaching Method is a famous work of Polly Asia Pacific. Simple in content, but profound in thought.
From one to infinite Gamow.