Advanced Mathematics (Volume 1)

Author: Yin Ximing et al. (Editor-in-Chief)
Publisher:
Publish Date: 2005-07-13
Features: This textbook is developed in accordance with the "Basic Requirements for Higher Mathematics in Undergraduate Adult Higher Education" promulgated by the Ministry of Education in 1998, and incorporates the practical experience of teaching reform at East China University of Science and Technology. The book is published in two volumes. The first volume introduces the calculus of single-variable functions, covering topics such as functions, limits and continuity, derivatives and differentials, mean value theorems and applications of derivatives, integration, integration methods, definite integrals, and applications with improper integrals. The book appropriately reduces the proofs of some theorems while emphasizing the explanation of fundamental mathematical concepts and methods. It features abundant examples, geometric intuition, and is easy to understand, making it suitable for self-study. At the end of each section, there are numerous exercises; at the end of each chapter, there are review summaries and review questions; and at the end of each stage, there are stage self-assessment questions, as well as mid-term and final mock exams. This book can serve as a textbook for undergraduate students in higher vocational colleges, adult education, and vocational colleges, as well as for students in online education, correspondence education, and self-study examinations.