University Mathematics - Single Variable Calculus

Author: Xiao Shuifei
Publisher:
Publish Date: 2000-07-25
Features: This book is a research outcome of the "Reform Plan for Teaching Content and Curriculum System in Higher Education Towards the 21st Century" by the Ministry of Education, and is a textbook for the 21st-century curriculum. The book attempts to present the subject of single-variable calculus in accordance with its historical development, dividing it into two parts. The first part introduces the basic content of single-variable calculus based on intuition, emphasizing practical application and calculation, and helping readers grasp the fundamental ideas of calculus. Many application examples are introduced in this part, especially the proof of Kepler's laws, which help broaden horizons and enhance learning interest. The second part focuses on the concepts of "limit theory" and "uniform convergence," emphasizing the cultivation of rational thinking. This book can be used as a textbook for science and engineering majors in higher education institutions, and can also serve as a reference for professionals in various fields.