Solution Guide for Advanced Mathematics

Author: Zhou Jianying, edited by Li Zhengyuan
Publisher:
Publish Date: 2004-03-01
Features: This book is a supplementary textbook for students in science, engineering, medical, and agricultural majors studying "Advanced Mathematics." The two authors have been teaching advanced mathematics at Peking University for four decades, possessing extensive teaching experience and a deep understanding of students' difficulties and confusions. They analyze, explain, and comment on carefully selected typical examples around the basic content and teaching requirements of the course, providing summaries and conclusions to help students better understand the material, master fundamental theories, and develop correct problem-solving methods and techniques. The book is divided into 13 chapters, covering topics such as single-variable calculus, spatial analytical geometry, multivariable calculus, infinite series (including Fourier series), and ordinary differential equations. In each section, there are summaries of basic theoretical content, explanations and analyses of typical examples, and practice exercises for students. Answers to the exercises are provided at the end of the book. To meet the needs of students with varying levels of proficiency, the book systematically explains a moderate number of comprehensive problems and examples of moderate difficulty (marked with an asterisk). These sections not only broaden students' problem-solving perspectives but also assist them in mastering advanced mathematics and serve as useful resources for postgraduate entrance exam preparation. This book can be used as a learning guide for students in comprehensive universities, science and engineering universities, and higher normal schools in science, engineering, medical, and agricultural majors studying advanced mathematics. It is also suitable for students in adult education and self-study examinations. For young teachers and students preparing for postgraduate entrance exams, this book serves as an excellent teaching reference and exam preparation guide.