Advanced Mathematics Problem Book

Author: Han Song
Publisher:
Publish Date: 2001-06-01
Features: During many years of teaching, the editor felt that a problem set suitable for readers of all levels is essential for mastering mathematical skills and improving thinking abilities. Therefore, the editor compiled and published a collection of effective problems used in teaching (including recent postgraduate entrance examination questions) to serve the readers. This book is written according to the teaching requirements of non-mathematics majors at the undergraduate level and refers to the mathematics postgraduate entrance examination syllabus. It consists of ten chapters, divided as follows:
Chapter 1: Functions and Limits
Chapter 2: Derivatives, Differentials, and Their Applications
Chapter 3: Indefinite Integrals
Chapter 4: Definite Integrals and Their Applications
Chapter 5: Series
Chapter 6: Space Analytic Geometry
Chapter 7: Multivariable Functions and Their Differential Calculus
Chapter 8: Multiple Integrals
Chapter 9: Line Integrals, Surface Integrals, and an Introduction to Field Theory
Chapter 10: Ordinary Differential Equations
Each section includes exercises divided into multiple-choice questions, fill-in-the-blank questions, and solved problems. In the solutions section, only answers are provided for multiple-choice questions, while detailed solutions are given for some fill-in-the-blank questions and all solved problems. Some problems even offer multiple solutions to broaden readers' thinking. It is recommended that readers first familiarize themselves with the corresponding mathematics textbook before working through this problem set. It is believed that this book will help improve readers' mathematical foundation and problem-solving skills, and can also serve as a reference for college teachers and candidates preparing for postgraduate entrance examinations. Due to the editor's limited expertise and the urgency of the project, errors are inevitable. We hope for the criticism and corrections of readers.
Editor