Mathematical Analysis Exercise Class Lecture Notes (Volume 2)

Author: Xie Huimin
Publisher:
Publish Date: 2004-01-01
Features: This book is a research outcome of the "National Science Education Base Creation of Famous Courses Project" by the Ministry of Education. Its purpose is to provide a set of innovative textbooks and reference materials for the teaching of exercise classes in mathematical analysis. Based on nearly 20 years of teaching experience in mathematical analysis and its exercise classes 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 elementary calculus, while the second volume includes infinite series and multivariable calculus. This book can serve as a textbook or reference for teachers and students in science and engineering at universities and colleges, as well as a supplementary guide for postgraduate entrance examinations and other individuals studying mathematical analysis.