Advanced Mathematics (Series of 3D Advanced Mathematics) (Volume 1)

Author: Chen Fengping
Publisher:
Publish Date: 2004-09-01
Features: This book is one of the reform teaching materials for the construction of the "National Engineering Teaching Base" at South China University of Technology, and also one of the series textbooks for the "College Entrance Examination Mathematics" course recognized as an outstanding course in Guangdong Province. Based on the "Basic Requirements for Higher Education Curriculum in Higher Industrial Schools" issued by the State Education Commission, the book is written with the spirit of deepening the reform of the curriculum system and teaching content. During the writing process, it emphasizes the optimization of the curriculum system structure; the explanation of important mathematical concepts highlights mathematical ideas and methods; strengthens the cultivation of mathematical application awareness and ability; and focuses on the applicability of teaching. The book is divided into two volumes. The first volume includes functions, limits, and continuity, differential calculus of single-variable functions, integral calculus of single-variable functions, and differential equations. The second volume includes vector algebra, spatial analytical geometry, differential calculus of multi-variable functions, integral calculus of multi-variable functions, and infinite series. Each section is accompanied by exercises, and each chapter is followed by review questions. The answers to the exercises are provided at the end of the book. The book has a rigorous structure, clear arguments, detailed descriptions, and is convenient for use in curriculum reform. The examples are typical, inspiring, and highly readable, making it suitable for self-study. This book can be used as a textbook for undergraduate students in science and engineering disciplines of higher education institutions, and can also be referenced by engineering technicians, self-learners, and readers preparing for postgraduate entrance examinations.