Advanced Mathematics Real Classroom - (Part 1) (Tongji 5th Edition)

Author: Zhan Ruiqing
Publisher:
Publish Date: 2006-08-01
Features: This book is a supplementary review and reference for the fifth edition of "Advanced Mathematics" edited by Tongji University. It is divided into two volumes, providing detailed analysis of basic concepts and helping readers master fundamental knowledge points while improving their comprehensive problem-solving skills through a large number of postgraduate entrance examination questions and typical examples. At the beginning of each chapter, there is a brief introduction to the chapter, key points of the examination, and a detailed score distribution table of knowledge points covered in postgraduate mathematics papers since 1990. At the end of each chapter, there is a list of the examination requirements for that chapter. Each section of the chapter presents basic concepts, properties, and theorems in a tabular form. The "Explanation" and "Notes" sections analyze the connotations of the concept and highlight common mistakes in understanding it. The "Common Exam Types" section lists various types of questions that may appear in postgraduate entrance examinations and regular exams, with type analysis explaining the characteristics of each type and specific problem-solving methods. The examples provided are mainly from past postgraduate entrance examination questions and typical examples, with detailed solution steps and concise annotations to help readers quickly grasp the problem-solving methods and techniques for different types of questions. At the end of each chapter, there are also:
1. Self-assessment questions with corresponding answers and hints, designed to help readers review and assess their mastery of the chapter's key points and main types of questions;
2. Detailed solutions to the exercises for the chapter, provided for reference during the learning process. This book is suitable for undergraduate students in non-mathematics disciplines such as science, engineering, medicine, and agriculture, as well as teachers who teach advanced mathematics. It can also serve as a review and reference book for postgraduate entrance examination mathematics.