Russell, a British mathematician and philosopher, once said, "Mathematics, if you look at it correctly, not only has truth, but also has the highest beauty." Countless mathematicians have tried their best to "prove" this idol. They get carried away and relish the simplicity and beauty of the formula.
However, in the eyes of ordinary people, mathematics is like an incomprehensible martial art. The level of cultivation depends entirely on one's own understanding, and it takes more than ten years to fight with it. There is a group on Douban that says "I have not escaped the persecution of mathematics" . Just click on a few posts, and the fear of being dominated by mathematics can be easily recalled. After finally conquering the mathematics of the college entrance examination, he sat in the drowsy high mathematics class again, at a loss for what to do with the blackboard writing that looked like a heavenly script. Moreover, advanced mathematics is recognized as one of the "subjects with the highest failure rate in universities". In order to escape the "claw" of advanced mathematics, many people have launched self-help.
Some textbooks on the market have been criticized for being boring and obscure, which makes students daunted. An ideal textbook suitable for most students should be detailed in knowledge points, rich in examples, rigorous in argumentation, and at the same time interesting. The protagonist of this article, " Three Musketeers of Princeton ", may be the first choice for you to find the first choice for entering mathematics ! Whether you're trying to improve your math grades but haven't gotten the hang of it, or you're planning a revision bump before an exam, this series of books is worth picking up.
Since the first edition of "Princeton Calculus Reader" was published in 2010, it has been praised and supported by many readers for its plain and easy-to-understand language and interesting examples, and has become a highly respected "Introduction to Calculus", revised edition It even scored a high score of 9.6 scored by thousands of people on Douban; with the publication of "Princeton Mathematical Analysis Reader" and "Princeton Probability Theory Reader", the Princeton Three Musketeers gathered here to point out the direction for beginners who are groping for a learning path. Hand over a key that unlocks the door of interest in mathematics.
Princeton Calculus Reader (Revised Edition)
Author: [US] Adrian Banner Translator: Yang Shuang Zhao Xiaoting Gao Pu
★ It has been used in teaching for many years and is very popular among students! Contains 475 sample questions, and all have detailed answers!
This book expounds the skills of solving calculus, and explains in detail the basics of calculus, limit, continuity, differentiation, application of derivatives, integral, infinite series, Taylor series and power series, etc., aiming to teach readers how to think about problems In order to find the knowledge points needed to solve the problem, focus on training everyone's ability to solve the problem by themselves.
This book is suitable for junior college students, senior high school students, mathematics lovers who want to learn calculus, and mathematics teachers. This book can be used not only as a teaching material, a set of exercises, but also as a study guide, and at the same time it is beneficial for teachers to prepare lessons.
PS: The supporting Chinese course for this book is also online! The lecture will be led by Song Hao, the UP master of the well-known knowledge area of station B and associate professor of Shandong University of Finance and Economics . Take notes while watching the video, learning more efficiently! Welcome to scan the code to listen:
Princeton Mathematical Analysis Reader
Author: [US] Raffey Greenberg Translator: Li Xin
★ 40+ proven examples, 20+ guided "fill in the blank" exercises
This book is the second book in the "Princeton XX Reader" series of books. The exposition style of this set of books is friendly and approachable. Through interactive dialogues and related examples between the author and readers, mathematical concepts are clearly clarified, and propositions and concepts are provided. Knowledge of quantitative logic allows readers to master their own mathematical thinking.
This book explains the basic content of learning real analysis, including basic mathematics and logic, real numbers, sets, topology, sequences, etc. The author describes the two-step solution method in an easy-to-understand and slightly humorous tone: first, it shows how to go back to the key to solving the problem, and then explains how to write down the problem-solving process rigorously and standardizedly. Rich examples are also given in the book to help students consolidate the knowledge they have learned.
Princeton Probability Reader
Author: [US] Steven J. Miller Translator: Li Xin
★ Help you understand the proof process, practice and solve problems by yourself
This book explains the basic content of probability theory, including combinatorial analysis, probability theory axioms, conditional probability, discrete random variables, continuous random variables, joint distribution of random variables, the nature of expectations, limit theorem and simulation, etc. The content is rich and popular Easy to understand, equipped with rich examples and a large number of exercises, involving applications in physics, biology, chemistry, genetics, game theory, economics, etc., it is very inspiring.
Click " Read the original text " to listen to the "Princeton Calculus Reader Video Lesson" by Mr. Song Hao.