Advanced Mathematics Review Guide: Types of Questions · Ideas · Methods · Skills

Author: Dang Sishan
Publisher:
Publish Date: 2005-06-01
Features: The writing points of this book are as follows:
(1) As a review guide written in coordination with the "Advanced Mathematics" (4th Edition) of Tongji University, it omits the "Content Summary" to save space, and students only need to refer to the textbook.
(2) To cater to the varying levels and differences in the readers' abilities, this book adopts a "climb the gentle slope, ascend the peak" layout. This is reflected in the selection of problems, which progress from easy to difficult: Example Analysis → Similar Problem Practice → Thinking Questions, Comprehensive Questions, and Miscellaneous Questions. This approach ensures that both beginners and those who have forgotten the basics can firmly grasp the fundamentals and strengthen their foundation, while also providing advanced students and top candidates for postgraduate entrance exams with a solid foundation to tackle challenges and achieve better results.
(3) The book is not strictly bound by the chapter order of the textbook but organizes the material with a unified perspective. For example, topics such as "Geometric Figure Area Calculation," "Even-Odd Symmetry, Cyclic Symmetry, Substitution Techniques," "Moment of Inertia, Gravity, and Gravity," "Absolute Value and Arithmetic Roots," and "Proving Inequalities" are extracted and written with a unified approach, distilling unified methods and providing unified formulas for each topic. This is both innovative and easy to learn, representing our original creation.