Calculus

Author: Ran Zhao Ping
Publisher:
Publish Date: 2007-07-22
Features: This book consists of eight chapters, covering main topics such as the limit of functions, the continuity of functions, derivatives and differentials of single-variable functions, mean value theorems, indefinite and definite integrals of single-variable functions, differentiation and integration of multivariable functions, and series. Tailored to the characteristics of applied higher education, the content is designed to be easy to understand, with many abstract proofs and derivations omitted. For abstract concepts, descriptive definitions are provided to make the material "easy to explain and easy to learn." To help students better grasp the content and methods of calculus, the book includes detailed explanations of examples and a large number of exercises at the end of each chapter, enabling students to deepen their understanding of mathematical knowledge, consolidate foundational concepts, and improve problem-solving skills. Each chapter is accompanied by a summary that systematically reviews key points and provides detailed solutions to the exercises. The main content covers topics such as derivatives and differentials, applications of derivatives, indefinite integrals, definite integrals, and calculus of binary functions.