Advanced Mathematics (Volume 1)

Author: Luo Dingjun
Publisher:
Publish Date: 2003-06-01
Features: This book is a college-level mathematics textbook for science and engineering majors, especially for non-mathematics majors in normal universities. The book is divided into two volumes. The first volume includes calculus of single-variable functions and infinite series, while the second volume covers spatial analytical geometry, calculus of multivariable functions, and differential equations. The book adheres to the principle of being concise and selective, with distinctive features in the treatment of certain content. For example, the concepts of derivatives and differentials, as well as definite and indefinite integrals, are introduced simultaneously, which not only highlights their essential connections but also saves space. The applied examples and exercises emphasize the use of mathematical methods for analysis and problem-solving. The exposition progresses from simple to complex, focusing on practicality, with concise and easy-to-understand language, making it well-suited for the characteristics of students in these fields. Compared to similar textbooks, this book is compact in size. The two volumes together contain approximately 500,000 words, with the core content that can be taught within one academic year. The book is accompanied by appropriate exercises, divided into two groups: Group A and Group B. The exercises in Group B are more challenging, featuring comprehensive and argumentative problem-solving, with hints provided in the solutions to meet the needs of an increasing number of postgraduate entrance examination candidates and facilitate teacher use.