2. Typical problems and methods in mathematical analysis (Pei, Higher Education Society)
3. The Essence of Solving Problems by Mathematical Analysis (Qian Jilin, Chongwen Bookstore)
4. New Methods of Advanced Algebra (Wang Pinchao, University of Mining and Technology Press)
5. Solving problems in advanced algebra (Yang Zixu, Shandong Science and Technology)
Introduction to Fudan University Textbooks
Based on the textbook of the same name written by the author in the early 1990s, this book has carried out comprehensive exploration and reform in combination with teaching practice. After a lot of teaching research and referring to the latest textbooks published at home and abroad, the system structure of the book fully considers the needs of teaching effect and adds some methods and contents of modern mathematical analysis. In order to help readers deeply understand related concepts and methods, there will be many exercises that inspire readers to think from time to time, and each chapter is accompanied by selected exercises. In order to facilitate readers to use this book, detailed exercises are provided at the end of this book. It is also a tutorial book for enlightenment postgraduate entrance examination. The main contents of this book are limit theory, basic theory of real number system, unary calculus, series theory, multivariate calculus, curve and surface integral, parametric integral and Lebesgue integral.
This book is suitable for students majoring in mathematics, statistics, computer science and management. As a teaching material of mathematical analysis course. It can be used as a counseling book or reference book for graduate students of corresponding majors, and can also be used as a reader for other scientific and technological personnel to teach themselves mathematical analysis.
Brief introduction of typical problems and methods in mathematical analysis ...
Typical Problems and Methods in Mathematical Analysis (2nd Edition) is written for readers who are studying Mathematical Analysis (Calculus), readers who are reviewing Mathematical Analysis (Calculus) for postgraduate entrance examination, and young teachers who are engaged in teaching in this field. Following the order of current textbooks, Typical Problems and Methods in Mathematical Analysis (Second Edition) comprehensively and systematically summarizes the basic types of mathematical analysis problems. For each kind of basic methods, the main points of each method are summarized first, and then typical and difficult examples are selected, analyzed layer by layer and explained by classification. Then equip them with a set of exercises. It aims to broaden the foundation, inspire ideas and cultivate students' ability to analyze and solve problems, as a supplement and extension of the teaching materials. In addition, the weak parts in the current textbooks, such as semi-continuity, convex function, inequality and equal continuity, are appropriately expanded.
The book is divided into 7 chapters, 36 sections, 246 entries, 1382 questions, including the limit, continuity, differentiation, integration, sequence and so on of univariate functions. Limit, continuity, differentiation and integration of multivariate functions.
Typical Problems and Methods in Mathematical Analysis (Second Edition) is compiled on the basis of long-term teaching practice of several generations, referring to a large number of joint entrance examination questions of mathematical analysis of some domestic graduate students and some foreign competition questions, and referring to more than 70 kinds of teaching materials, documents and reference books. The topic selection is typical, flexible, inspiring, interesting and comprehensive, which is very beneficial to cultivate students' ability. It can be used as a reference for teachers, students and related readers in mathematics colleges (departments). The basic contents of the book (not marked with *, ※ symbols) can also be selected by candidates who take part in the mathematics postgraduate entrance examination.
This revision supplements and updates a large number of representative new test questions and basic questions. Added "Guide" column. The exercise gives a hint, another hint or a solution.
The questions are divided into five grades according to the difficulty. ☆ Some of them are key recommended contents, and the number is about 420 (accounting for one third of the total number of topics). Choosing the right reading can greatly reduce the burden and pressure.
On the Essence of Solving Problems by Mathematical Analysis ...
Many of the questions listed in this book have not been made public, and they are confidential internal information of various institutions. It is often difficult for many candidates to learn from each other and make up for these problems. The questions in this book involve nearly 100 famous authoritative institutions such as Peking University, Tsinghua University, Fudan University, Nanjing University, Wuhan University and China Academy of Sciences.
Brief introduction of new methods of higher algebra
This book introduces and innovates a large number of novel and effective methods, selects typical test questions of master students, Z of the older generation newly compiled by Fudan University, and the new achievements of research on the older generation at home and abroad in recent years.
On the solution of higher algebra exercises
"Higher Algebra Exercise Solutions (Revised Edition)" selects 494 typical exercises from quadratic form, set and mapping, linear space, linear transformation, λ matrix, Euclidean space and other aspects, gives comprehensive and detailed answers, and pays attention to multiple solutions to one problem. Before each exercise, briefly summarize the main definitions, theorems and important structures of this section.