Review materials recommend Li Yongle's math review book for postgraduate entrance examination.
Book introduction:
Advanced Mathematics Volume II (fifth edition) was edited by Bian Fuping and Yang Zeshen and published by Tianjin University Press. This book is revised on the basis of the fourth edition according to the editor's teaching practice for many years, the spirit of textbook reform under the new situation and the basic requirements of advanced mathematics teaching. This revision is better connected with middle school mathematics teaching, with some mathematical symbols and logical symbols quoted appropriately, application examples and exercises added, and some contents simplified and merged appropriately, making the content and system more complete and more convenient for teaching.
This book is published in two volumes. The second volume consists of five chapters: differential methods of multivariate functions and their applications, multiple integrals, curve integrals and surface integrals, infinite series and differential equations. At the end of the book, there are answers and tips for practice.
This book still maintains the advantages of the fourth edition, with rigorous structure, clear logic, detailed narration, easy to understand, many examples and easy self-study. On the premise of ensuring the basic requirements of teaching, the adaptability and flexibility are expanded, which can be used by engineering students in colleges and universities.
Each chapter of the mathematics review book for postgraduate entrance examination consists of the following four parts:
First, content summary and tips on important and difficult points-the purpose of writing this part is mainly to make candidates clear about the key points, difficulties and common test sites in this chapter, and to make candidates clear about the relationship between various knowledge points, so as to have an overall understanding and grasp of the contents of this chapter.
2. Explain the main points of exam knowledge-this part comprehensively expounds the knowledge points required by the syllabus, analyzes the key points, difficulties and common test sites of the exam, points out the common problems and mistakes of previous candidates when using basic concepts, formulas, theorems and other knowledge to solve problems, and gives corresponding precautions, so as to deepen the understanding and correct application of key contents such as basic concepts, formulas and theorems.
Third, common questions and their problem-solving methods and skills-this part summarizes the common questions in the unified examination over the years, summarizes the problem-solving methods of various questions, and pays attention to multiple solutions to one question, so as to broaden the candidates' problem-solving ideas, make the knowledge they have learned comprehensive and solve problems comprehensive and flexible.
Fourth, the question training and solution-this part selects the right amount of self-test questions and has detailed answers. Only a proper amount of practice can consolidate the knowledge learned, and math review must be done. In order to make candidates better consolidate their knowledge and improve their practical problem-solving ability, the author specially optimized and designed practical training questions similar to the real questions to be written in the book "400 classic questions of fully simulated mathematics for postgraduate entrance examination" for candidates to choose.
What needs to be emphasized in particular is that this book is written for candidates who apply for math 1. It is a new attempt, and I hope it will be helpful for the majority of candidates to prepare for the exam.
This book is a good teacher and friend for candidates who take the postgraduate entrance examination, and also a valuable reference book for students in various colleges to learn mathematics by themselves, improve their mathematics level and provide teaching guidance for teachers.