XH2006 Higher Mathematics Tutorial and Problem Solutions (Tongji 5th Edition) (Volume 1)

Author: Peng Hui et al. (Editor-in-Chief)
Publisher:
Publish Date: 2005-08-01
Features: This book is divided into twelve chapters, each further divided into several sections. The chapter structure and titles align with those of the "Textbook." In this book, each section includes three main parts:
1. Key Knowledge Points and Exam Focuses: Systematically summarizes the basic concepts, theorems, and formulas involved in each section in a tabular format. Highlights key issues to consider when understanding and applying these concepts, theorems, and formulas, and specifically points out important knowledge points frequently tested in various exams;
2. Classic Example Problem Analysis: After extensive research, representative and typical example problems are selected and categorized for analysis. During the problem-solving process, there are "Thought Exploration" sections to help readers quickly find solutions and methods; and "Method Highlights" sections to assist readers in identifying the key points, techniques, and patterns for solving the problems;
3. Exercise Solutions: Provides answers to all exercises in each section of the "Textbook." For some representative exercises, "Thought Exploration" and "Method Highlights" are also included during the solutions. Some exercises offer multiple solutions to cultivate analytical and divergent thinking skills. Additionally, the book uses "Warning Notes" to briefly highlight key points, techniques, and common mistakes in problem-solving.
To review and reinforce the knowledge learned in each chapter, four additional sections are added after the final section of each chapter:
1. Chapter Knowledge Structure and Content Summary: The book uses structural diagrams to organically connect the key points of the chapter, forming a network structure. This helps students systematically grasp the overall knowledge system and core content of the chapter;
2. Comprehensive Solutions to Textbook Review Exercises: Provides answers to every question, with some also including "Thought Exploration" and "Method Highlights" to help readers quickly find solutions and methods, identify key points, techniques, and patterns;
3. Analysis of Past Graduate Entrance Exam Questions: Typical questions from past national graduate entrance exams are selected and solved in detail, with in-depth analysis. The book also includes the 2004 and 2005 national graduate entrance exam questions and solutions at the end;
4. Synchronized Self-Assessment Questions and Solutions: Representative and high-value test questions are selected to assess learning outcomes and improve exam readiness.