2008 Graduate Entrance Exam Mathematics Advanced Mathematics and Calculus. Volume I

Author: Wang Chengyi
Publisher:
Publish Date: 2007-02-01
Features: The editor of this book has been teaching postgraduate entrance exam mathematics for 18 years in schools and society, and currently teaches in various postgraduate tutoring classes at New Oriental Education Online (online) and New Oriental Schools. Through long-term practice, the editor has a profound understanding of the postgraduate entrance exam mathematics syllabus and offers insightful analysis of past exam questions. These experiences have been compiled into this book, enabling candidates preparing for the exam to take the express train directly to the test, achieving effective mathematical training in a short period, rapidly improving their exam skills, and achieving excellent results with twice the effort. This book has the following features:
1. Adhering to the principle of "less is more" Based on a deep understanding of the exam syllabus and insightful analysis of past exam questions, the book highlights key points, selects content meticulously, and analyzes it in a progressive manner, achieving comprehensive review and systematic mastery of postgraduate entrance exam requirements with relatively fewer pages.
2. Adhering to the principle of "combining mathematical systems with practical training" The book is organized into chapters and sections based on the mathematical system, but each section is divided into two parts: "(A) Key Points" and "(B) Typical Examples." In the Key Points section, it comprehensively elaborates on the content of assessment points while providing in-depth analysis of key and difficult areas. Typical examples are the core of each section, fully reflecting important methods and main techniques in exam question types, covering the practical requirements of the entire exam content.
3. Adhering to the principle of "progressive learning and comprehensive integration" The content is arranged in a progressive manner according to the mathematical system while also integrating the highly comprehensive nature of postgraduate entrance exam questions, without being bound by the sequence of university mathematics. It combines multiple assessment points for comprehensive integration. For example, the section on "limits" integrates methods from differential calculus and integral calculus, discussing them together in this chapter. This broadens candidates' perspectives and achieves the goal of reviewing the old to understand the new.
4. Adhering to the principle of "balancing multiple aspects and creating a unified whole" This book balances the requirements of postgraduate entrance exam mathematics for engineering and economics, as well as the different needs of basic, intensive, and sprint classes, creating a unified whole suitable for the diverse requirements of a wide range of candidates. Some examples are marked with an asterisk (), indicating higher difficulty, and readers can choose to study them as needed. This book is an indispensable tool for candidates preparing for the postgraduate entrance exam and also serves as an important reference for undergraduate students studying advanced mathematics.