Advanced Mathematics: Content, Methods, and Techniques (Part 1)

Author: Sun Qinghua/Zheng Xiaojiao (editors)
Publisher:
Publish Date: 2004-10-01
Features: This book is highly suitable as a supplementary guide for college students studying advanced mathematics. It is divided into two volumes and is synchronized with the fifth edition of "Advanced Mathematics" compiled by Tongji University.
Volume 1 includes topics such as functions and limits, derivatives and differentials, mean value theorems and applications of derivatives, indefinite integrals, definite integrals, applications of definite integrals, spatial analytical geometry, and vector algebra. Additionally, it incorporates content related to economic mathematics. The writing order aligns with the textbook, organized by chapters, with each section divided into four parts: main content, problem-solving guidance, methods and techniques, and analysis of typical examples and postgraduate entrance examination questions. The book condenses and summarizes the theories and concepts of advanced mathematics, analyzes and answers potential learning challenges, demonstrates and dissects exercises and examples, highlights and guides problem-solving methods and techniques, and provides practice and solutions for postgraduate entrance examination questions in mathematics. In the field of advanced mathematics, it aims to guide students in learning, improving, and preparing for postgraduate entrance examinations, offering direction, methods, and techniques.