Advanced Mathematics (Volume 1)

Author: Liu Shutian
Publisher:
Publish Date: 2003-09-06
Features: This book is a fundamental textbook for "Advanced Mathematics" in higher vocational and higher college education. It is compiled according to the teaching syllabus for "Advanced Mathematics" in higher vocational and higher college education issued by the Ministry of Education, and incorporates the author's accumulated teaching experience in teaching "Advanced Mathematics" to students in economics, management, and engineering disciplines at higher vocational and higher college levels over the years. The book is divided into two volumes and is designed for first-year students in economics, management, and engineering disciplines for two semesters. The first volume consists of five chapters, covering topics such as functions, limits, continuity, derivatives and differentials, mean value theorems and applications of derivatives, indefinite integrals, and definite integrals and their applications.
This book is a fundamental textbook for "Advanced Mathematics" in higher vocational and higher college education. It is compiled according to the teaching syllabus for "Advanced Mathematics" in higher vocational and higher college education issued by the Ministry of Education, and incorporates the author's accumulated mathematical teaching experience in teaching "Advanced Mathematics" to students in economics, management, and engineering disciplines at higher vocational and higher college levels over the years. The book is divided into two volumes and is designed for first-year students in economics, management, and engineering disciplines for two semesters. The first volume consists of five chapters, covering topics such as functions, limits, continuity, derivatives and differentials, mean value theorems and applications of derivatives; the second volume consists of four chapters, covering topics such as differential equations, vector algebra and spatial analytical geometry, multivariable calculus, and infinite series.
Content marked with an asterisk () is not taught to non-engineering students but is intended for engineering students. Some content may be optionally selected by instructors. Each chapter is equipped with a sufficient number of exercises, and detailed hints or solutions are provided at the end of the book. To facilitate student learning, an appendix at the end of the book includes commonly used mathematical formulas and curve graphs.
The author has long been aware of the difficulties and confusions that higher vocational and higher college students face when learning "Advanced Mathematics." Therefore, this book presents the fundamental content of the "Advanced Mathematics" course in accordance with the syllabus requirements, tailored to students' comprehension levels and understanding abilities. The explanations are clear and easy to understand, with abundant examples, intuitive graphics, and thought-provoking content, making it convenient for self-study. The book emphasizes the training of students' foundational knowledge and the development of their comprehensive abilities.
This book can serve as a textbook for "Advanced Mathematics" for first-year students in economics, management, and engineering disciplines at higher vocational and higher college levels. It can also be used as a teaching material or reference book for students and faculty in vocational colleges participating in self-study exams or diploma exams (only the first volume is used for diploma exams). For math enthusiasts, this book is also an excellent self-study resource.