The history of mathematics not only traces the evolution and development process of mathematical content, ideas and methods, but also explores the various factors that affect this process, as well as the impact of the development of mathematical science on human civilization in history. Therefore, the history of mathematics not only includes specific mathematical content, but also involves social science and humanities content such as history, philosophy, culture, and religion.
Newton, Leibniz, the Bernoulli brothers, Euler, Cauchy, Riemann... those familiar genius masters, follow their thinking and explore every flash of miracle in mathematics.
This pure and rigorous intellectual discipline has great power and extraordinary charm in its results. In the nested abstractions of this ethereal mental object, the deepest and most essential secrets of the physical world are explored.
Learning the history of mathematics is less difficult than reading. It can not only stimulate interest, but also provide an in-depth understanding of the origin of a subject. It is not just for immediate use, but also allows for more thinking and broadening horizons.
Therefore, this book list is directly focused on the hard-core ones, starting from the history of mathematics to stimulate your interest in mathematics and in-depth thinking, so that you can learn mathematics once and for all!
01
"17 Equations That Changed the World"
Author: [English] Ian Stewart
Translator: Lao Jia
•The classic work of Ian Stewart, a famous British mathematics popularizer, has been translated into multiple languages
•Li Yongle recommends popular science masterpieces, winners of the "Eulerian Book Award"
•Jointly recommended by American Mathematical Society (AMS) & Mathematical Association of America (MMA)
Understand the underlying principles of how the world works and understand the laws of scientific development
Equations are mathematical poems, concise and concise, but full of meaning. Interpreting natural and social phenomena and connecting mathematical and physical reality is the power and beauty of equations.
02
"Mathematical Things: Great Questions and Extraordinary People"
Author: William Dunham
Translator: Feng Su
No need to use paper and pen, you can have an overview of the great theorems, difficult problems and controversies that must be discussed in the world of mathematics; your curiosity will be satisfied and you can have an overview of the core knowledge and historical gossip of mathematics.
This book is a collection of short essays. The articles are arranged in order from A to Z according to the first letters of their English titles. Each essay tells a specific mathematical topic and introduces the great theorems, difficult problems, and problems that cannot be ignored in the mathematical world. Arguments and mysteries.
03
"The Origins of Calculus: The Journey of Great Ideas"
Author: David M. Bresu
Translator: Chen Jian, Ke Lin Kailiang and Ye Luqing
From the calculus ideas of ancient Greece, ancient Egypt, ancient India, China, and Europe, to the brilliant achievements of great mathematicians such as Newton, Leibniz, Bernoulli brothers, and Riemann, take a look at the city of calculus How "Mathematical Treasures" came to be what it is today.
04
"The Journey of Calculus: From Newton to Lebesgue"
Author: Dunham
Translator: Li Bomin, Wang Jun, Zhang Huaiyong
This book won the "Recommended Book List of the 7th Wenjin Book Award".
This is not a biography of a mathematician, but a showcase of the grandeur of calculus. Every result in the book, from the derivation of Newton's sine function, to the representation of the gamma function, to Bell's classification theorem, is at the forefront of research in various eras, and is still shining with dazzling light.
05
"The Impossible Geometry Challenge: Two Thousand Years of Mathematics Quest"
Author: David S. Richerson
Translator: Jiang Zhe
A new perspective on the history of mathematics. The author quotes from many sources and unearths historical details that were not noticed in previous mathematics books.
This book is based on the four famous "classical problems" in the history of mathematics - squaring a circle, doubling a cube, constructing a regular polygon, and trisecting an angle. It shows how mathematicians have worked hard to solve these problems for more than two thousand years. The amazing thoughts and achievements he left behind.
06
"Bayesian Games: Mathematics, Thinking and Artificial Intelligence"
Author: Huang Liyuan
Translator: Fang Xian
A best-selling French mathematics popular science book, college mathematics reference and textbook book, it explores the wisdom and philosophy contained in Bayes' theorem in many fields such as machine learning, artificial intelligence, logic and philosophy.
Once Bayes' theorem is combined with algorithms, it is no longer a boring mathematical theory or epistemology, but becomes a widely used treasure trove of knowledge, giving birth to many modern mathematical theorems and commendable practical results.
07
"The History of Algebra: Man's Perseverance in Tracking Unknown Quantities (Revised Edition)"
Author: John Derbyshire
Translator: Zhang Hao
It is more rigorous, more informative, and easier to read, comprehensively showing the appearance of algebra since its birth to the present.
This is a magnificent history of mathematics and human thought, an "introductory book on mathematics" that explains the basic knowledge of algebra, and a collection of interesting stories about mathematicians.
08
"The Final Math Problem"
Author: Mario Livio
Translator: Huang Zheng
The world's best-selling classic book on the history of mathematics and philosophy, legendary stories full of wisdom from the great masters of science and philosophy, and a magnificent historical picture of mathematics, physics, astronomy and philosophy.
This book narrates the evolution of mathematical concepts, discusses the essence of mathematics in an all-round way from the perspectives of philosophy, history, and culture, citing classics and classics, reveals the subtle relationship between mathematics, the material world, and human thinking, and discusses the issues that have puzzled several generations of thinkers. major issues, telling the life experiences and thoughts of giants in mathematics, philosophy and physics.
09
"Melodious Prime Numbers: The Riemann Hypothesis, the Final Song of Two Hundred Years of Mathematics"
Author: Marcus du Sautoy
Translator: Bai Huayuan
Marcus du Sautoy, professor of mathematics at the University of Oxford and researcher at the Royal Society, is a masterpiece in popular science. He will take you to explore the Riemann hypothesis and tell the story of the pain and joy of mathematicians in their pursuit of knowledge.
The Riemann hypothesis, the unsolved puzzle of prime numbers, is regarded as the "Mount Everest" of mathematical research and has attracted generations of mathematicians to devote themselves to the study of number theory, including many famous figures in the history of mathematics. The discoveries made in the process of solving this mystery have had a decisive impact on the fields of e-commerce, quantum mechanics, and computer science.
10
"Mathematical Paradoxes and Three Mathematical Crises"
Author: Han Xuetao
Understand mathematical paradoxes and three mathematical crises, perceive the interest and changes of mathematics, and know what is happening and why.
This book introduces the three major paradoxes in mathematics (Pythagoras Paradox, Berkeley Paradox, and Russell Paradox) and the three mathematical crises, in chronological order and based on interlocking anecdotes of mathematicians. , take you to understand the history of the development of mathematics, understand the huge role of paradox, and understand the ins and outs of Euclidean geometry, irrational numbers, calculus, set theory, etc.