This book mainly describes the basic concepts, fundamental theories and standard methods in essential Calculus of one single variable. It is written in English. The content is compact, popular and concise. Various types of examples and exercises have been devised in each section and chapter. The emphasis is on the fundamental computational abilities, especially the normal computation methods used in Calculus and subsequent courses. The main contents of this book includes Functions and Limits, Differentiation of Functions of One Single Variable, Integrals of Functions of One Single Variable and Applications of Integration, Differential Equations and Infinite Series. This book can serve as a textbook in English of essential Calculus taken by nonmathematics major students and international students, and is also suitable for other readers for reference purposes.本書主要闡述了一元微積分學中的基本概念、基本理論和基本方法。教材采用英文編寫,內容安排緊密,講解通俗簡明,難易度適中。每章節(jié)都配備了一定數(shù)量的例題和習題。本書注重對基本的計算方法的介紹,尤其是微積分和后續(xù)課程中常使用到的計算方法。本書內容包括函數(shù)與極限、一元函數(shù)微分學、一元函數(shù)積分學、常微分方程與級數(shù)。 本書可作為非數(shù)學專業(yè)學生和國際學生的高等數(shù)學課程的英文版教材使用,也可以供其他讀者作微積分入門級別的參考書使用。