College Mathematics: Single Variable Calculus: Single Variable Calculus

Author: Xiao Shuifei
Publisher:
Publish Date: 2000-07-01
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 its historical development, dividing it into two parts. The first part introduces the fundamental content of single-variable calculus based on intuition, emphasizing the training of application and calculation, and helping readers grasp the naive ideas of calculus. Many application examples are introduced in this part, especially the proof of Kepler's laws, which helps 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 be used as a reference for various professionals.