[Masterpiece of Mathematics for Postgraduate Entrance Examination] Study materials you can’t miss

[Books at the end of the article] Today I recommend some high-quality books on postgraduate entrance examination mathematics to help you build a solid knowledge system

Introduction

Introduction: The complaints about college mathematics textbooks never seem to stop. Some people lament that mathematics textbooks are obscure and difficult to understand. wrong! It’s difficult to understand, but at least it’s understandable. You can't understand the mathematics textbooks at all; some people say: the mathematics textbooks are simply a bible.
It is true that there are good and bad mathematics textbooks, but in most cases it is a question of whether they are suitable or not. Don't know how to choose? These are core textbooks from hundreds of universities at home and abroad, masterpieces that have been best-selling for decades. Hurry up and stock up and read them slowly!

Beautiful mathematical thinking: problem solving and proofs

(Original book 2nd edition)
Author: John P. D’Angelo Douglas B. West
Translator: Wang Ronggui , Sun Yi, Zhang Guiyun

Recommendation: Let people who love mathematics experience the joy of surviving a desperate situation, and let people who hate mathematics fall in love with mathematics. It uses a large number of vivid and interesting problem-solving examples as the background, uses easy-to-understand language, and introduces beautiful mathematical thinking and rigorous proof methods in a simple and easy-to-understand manner.

mathematical analysis

(Original book 2nd edition)
Author: [US] Tom M. Apostol
Translator: Xing Fuchong, Xingchen, Li Songjie Jia Wanli

Recommendation: A masterpiece of modern mathematics. Since its publication in the 1970s, it has been widely praised by Western academic and educational circles, and has been designated as a teaching material by many well-known universities.

This book expounds topics in mathematical analysis at the level of "advanced calculus", provides a transition from elementary calculus to advanced courses in the theory of functions of real variables and the theory of functions of complex variables, and introduces some topics related to Abstract theory of modern analysis. The content not only covers the content of mathematical analysis courses in Chinese universities, but also includes Lebesgue integral, Cauchy's theorem and residue calculation.

linear algebra

Recommended words: Leon's classic introductory textbook on linear algebra, which has been best-selling for more than 40 years since its first edition in 1980. It has been updated to the 10th edition. The Chinese version has sold hundreds of thousands of copies and comes with exercises + answers. Try to teach the basic knowledge of linear algebra in a simple and straightforward way. The 10th edition puts more emphasis on visualization and adds many illustrations.

Linear algebra and its applications

(original book 6th edition)
Author: David C. Ray, Steven R. Ray, Judy J. McDonald
Translator: Liu Shenquan, Chen Yuzhen, Zhang Wanqin, etc.

Recommended words: The classic textbook of linear algebra has been newly upgraded. It is a core textbook for hundreds of universities at home and abroad. The Chinese version has sold more than 200,000 copies. A model of linear algebra application, pioneering the combination of theory and practical application.

algebra

(Original book 2nd edition)
Author: [American] Michael Artin
Translator: Yao Hailou, Ping Yanru

Recommended words: The famous algebraist and algebraic geometer Michael Artin is the result of decades of wisdom and experience in the field of algebra, with exercises. The book not only introduces relatively basic contents such as matrix operations, groups, vector spaces, linear transformations, and symmetry, but also introduces more advanced contents such as rings, models, domains, and Galois theory.

Elementary number theory and its applications

(original book 6th edition)
Author: [US] Kenneth H. Rosen
Translator: Xia Honggang

Recommended words: Kenneth H. Rosen’s classic textbook for number theory courses, which has been adopted by hundreds of prestigious universities such as the University of California, Berkeley, the University of Illinois, and the University of Texas. The three types of exercises are from easy to difficult, combining theory with practice.

Introduction to number theory

(original book 4th edition)
Author: [US] Joseph H. Silverman
Translator: Sun Zhiwei, Wu Kejian, Lu Qinglin, Cao Huiqin< /span>

Recommendation: The new edition of the classic introductory textbook on number theory is aimed at non-mathematics majors. The explanations are lively and interesting, and focus on the cultivation of mathematical thinking.

Basic tutorial on probability theory

(10th edition of the original book)
Author: Sheldon M. Ross
Translator: Liang Baosheng Tong Xingwei

Recommended words: An excellent and refined textbook that has been best-selling around the world for more than 30 years. Recommended words: Classic probability theory textbook. Through a large number of examples, the basic knowledge of probability theory and its applications are systematically introduced.

Probability Theory and Statistical Inference

(10th edition of the original book)
Author: Robert V. Hogg, Elliott A. Tanisdale L. Zimmerman
Translator: Wang Lu Ma Feng

Recommendation: This book is an excellent textbook, written by an experienced statistician. It comprehensively introduces the core content of probability theory and statistical inference, strengthens basic mathematical concepts, and is supplemented by a large number of real-life examples and applications to help readers understand these. Relationships between important concepts to better build probabilistic models and make better inferences and decisions.

Basics of Statistics: Seeing the World Through Data

(Original book 3rd edition)
Author: Robert Gould Rebecca Wang Kelin
Translator: Tian Jinfang

Recommendation: Statistics books that everyone can read. Through this book, readers can learn to think critically about data and critically evaluate the arguments of others.

Mathematical statistics and its applications

(original book 6th edition)
Author: Richard J. Larson Morris L. Marks
Translator: Wang Lu Zhao Wei Lu Peng et al

Recommendation: This book explains the basic knowledge and related applications of probability theory and mathematical statistics, as well as a variety of experimental designs. It has strict explanations, concise proofs, and rich cases. It uses a large amount of real data to analyze the cases to help readers form a good understanding of mathematical statistics. A more comprehensive understanding.

Topology

(Original book 2nd edition)
Author: Munkres, J.R.
Translator: Xiong Jincheng et al

Recommended words: The concepts are introduced naturally and step by step. For difficult reasoning proofs, break them down into simplified steps so as not to leave readers with doubts. In addition, the book also provides a large number of exercises to consolidate and deepen the learning effect. Strict arguments, clear organization, and abundant examples make profound topology easy to learn.

An introduction to graph theory

(Original book 2nd edition) Collector’s Edition
Author: Douglas B. West
Translator: Li Jianzhong Luo Jizhou

Recommendation: Use the chart to calculate the best ticket for the new outlet! The simultaneous emphasis on proof and application is an important feature of this book. The book provides complete proofs for all theorems and propositions, discusses a large number of examples and applications, and provides more than 1,200 exercises.

Discrete Mathematics: For Computer Science Majors

Author: Clifford Stein Robert L. Desdale Kenneth Bogart
Translator: Ma Shuai Qin Bo Roger Wu Qianhong

Recommended words: A new work by the author of the algorithm classic "Introduction to Algorithms" read by more than 500,000 people! Starting from the needs of computer science majors, this course provides a comprehensive introduction to discrete mathematics knowledge. The "why to learn" and "what's the use" are clarified.

Combinatorial Mathematics

(5th edition of the original book)
Author: Richard A. Brualdi
Translator: Feng Su et al.

Recommendation: This book is an excellent textbook that systematically explains the foundation, theory, methods and examples of combinatorial mathematics. It has been revised many times over the past 30 years and has been adopted by many foreign universities such as MIT, Columbia University, UIUC, and the University of Wisconsin. It is of great significance to domestic and foreign students. It has had a great impact on the teaching of combinatorial mathematics and is also one of the main references in related disciplines.

Numerical Analysis

(Original book 2nd edition)
Author: Timothy Sauer
Translator: Pei Yuru Ma Gengyu

Recommendation: This book is an excellent textbook that systematically explains the foundation, theory, methods and examples of combinatorics. It has been revised many times over the past 30 years and has been adopted by many foreign universities such as MIT, Columbia University, UIUC, and the University of Wisconsin. It has had a great impact on teaching and is also one of the main references in related disciplines.

Send a book at the end of the article

A total of 1 book will be given away in this event, and 1 fan will be selected from the comment area to give it away for free.

Participation methods are as follows:
Like and collect the article and comment with no less than 10 words to participate.
Activity time: Until 2023-11-25 17:00:00
Notification method: Contact the winning fans through private messages.