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What books do you need to read to learn mathematics systematically, Zhihu?
1. What is mathematics?

Author: [America ]r. Courant h. Robin/I. Stewart revised Fudan University Press.

Comments: recommended by all mathematics majors.

2. Ancient and modern mathematical thoughts

Author: [America] Morris? Klein

Translator: Zhang Lijing/Zhang Jinyan/Jiang Zehan Shanghai Science and Technology Publishing House

Comments: Chievo (Mathematics Major): It is a book about the history of mathematics; Personally, I think it is for people majoring in mathematics.

/kloc-the part before the 0/9th century is relatively simple, but the mathematics in this part is too old and useless (it is very useful for students majoring in mathematics to understand the development of mathematics). /kloc-the part after the 0/9th century is more difficult, but it is still not suitable.

3. Mathematics-its content, method and significance

Author: ад. Aleksandrov

Translator:/Zhao Mengyang/Qiu Guangming/Yan Science Publishing House.

Comments: Chievo (mathematics major) recommended: The first chapter does have some such content, and it will be less and less in the future. There are always a few paragraphs in those things. Just skip them. As for the difficulty, I think science students who graduated from high school should have no problem.

4. From one to infinity

Author: [America] G. Gamov Press: Science Press.

Comments: Introduction to Mathematics recommended.

5. Statistical World (5th Edition)

Author: David S Moore/William Naudts CITIC Publishing House

Comments: recommended by Lang: Introduction to Statistics

6. Ladies' Tea: How did statistics change science in the 20th century?

Author: Salzburg China Statistical Publishing House

Comments: Introduction to the history of statistics, recommended in Lingling period: Don't have too much professional knowledge, but introduce more popular science and statistical philosophy. A very good book, which was recommended by my teacher when I was in probability theory.

7. How to solve the problem: modern heuristic method

Author: Zbigniew Michalewicz/David B. Fogel China Water Conservancy and Hydropower Press

Comments: Ren (Evolutionary Computing) Recommended: Very suitable for getting started.

8. Elementary number theory

Authors: Pan Chengdong, Pan Chengbiao Peking University Publishing House.

Comments: Ling Lingqi recommended: If you like number theory, learn this book, which is more systematic. Of course, you can only contact interesting number theory books, and there are many.

9. Discrete mathematics and its application

Authors: (America) by Rosen, translated by Yuan Chongyi, etc. Machinery industry press.

Comments: obtuseSword recommended: easy to understand, only need high school knowledge, I began to learn in high school, mathematics rose from failing to the top of the class, mainly because this book can make people learn mathematical thinking and arouse interest in mathematics.

10. game theory basis

Author: Gao Feng Robert Gibbons China Social Sciences Publishing House

Comments: einheriar recommended: recommend a book on game theory: Robert Gibbons's "The Basis of Game Theory". A small green book, simple and easy to understand, does not require much mathematics. If it is not enough, I recommend Tirole's game theory, but this should exceed the standard. ...

1 1. Specific mathematics

Author: [America] Ronald L. Graham/Donald E. Knut/Oren Patashnik

Machinery industry press

Comments: RomanGol (Computer Mathematics) Recommended: There is not much computer knowledge, but the ideas inside are immortal.

12. Godel, Eisele, Bach-masterpieces of different things.

Author: [America] Hou Shida; Translator: Victor Kuo and other publishing houses: Commercial Press.

Comments: RomanGol (Computer Mathematics) Recommended: There is not much computer knowledge, but the ideas inside are immortal.

13. Stone

Authors: [America] D. Hughes Harriet, A.M. Clayton.

Translator: Hu Naidan Shao Yong Ma Gang Higher Education Press.

Eeswah (Calculus) Recommendation: It's classic, and the threshold is really low, but after reading it, the mathematical thinking and ability have really improved. It's a wonderful book.

14. Mathematical analysis

Author: [America] Tom ·Apostol

Translator: Xing Fu Chong/Chen Xing/Li Songjie/Jia Wanli Machinery Industry Publishing House

Comments: Push the one compiled by East China Normal University, the blue book, published by Higher Education Press.

15. Examination questions of previous CMO China Mathematical Olympics 1986-2009

Author: Liu Beixing Harbin Institute of Technology Press

Comments: Recommended by Wang Shiqiang (Material Forming and Control Engineering)