Mathematical Analysis (Volume 1)

Author: Zhang Yangwen, edited by Shao Guo Nian
Publisher:
Publish Date: 2002-01-01
Features: The guiding principle of this book is to make it suitable for engineering students in pilot classes with a solid foundation, as well as serve as a reference for students in applied teaching, computer science, or other engineering fields with high mathematical requirements. To ease the difficulty of learning, the content typically concentrated in the chapter on the continuity of real numbers—such as the principle of supremum and infimum, upper and lower limits, and the Cauchy criterion—is arranged in the chapter on sequences and limits. Practical results have shown that this arrangement is feasible in terms of students' comprehension and provides a more comprehensive introduction to the topic of sequences and limits. The book is divided into two volumes: the first volume covers single-variable calculus, while the second includes improper integrals, series, and multivariable calculus.