Mathematical Analysis Exercise Class Notes (Volume 1)

Author: Xie Huimin et al.
Publisher:
Publish Date: 2003-07-01
Features: This book is a research outcome of the "National Science Education Base Project for Creating Famous Courses" by the Ministry of Education. Its purpose is to provide a set of innovative textbooks and reference materials for the teaching of problem-solving sessions in mathematical analysis. Based on nearly 20 years of teaching experience in mathematical analysis and its problem-solving sessions by the authors, this book incorporates a wealth of achievements from various domestic and international textbooks and research works. It pays close attention to the exploration and extension of ideas, methods, and techniques in classical teaching content. In the explanation of examples, it emphasizes heuristic and step-by-step deepening, while in the selection of exercises, it focuses on updating, supplementing, and stratifying traditional content. The book is published in two volumes. The first volume covers the theory of limits and single-variable calculus, while the second volume covers infinite series and multivariable calculus. This book can serve as a textbook or reference for faculty and students in science and engineering at universities and colleges in mathematical analysis problem-solving sessions. It can also be used as a preparatory guide for postgraduate entrance examinations and for self-study in mathematical analysis by other individuals.