Calculus (I)

Author: Liu Kunlin
Publisher:
Publish Date: 2005-04-01
Features: Calculus (Part I) is one of the classic preparation tutorials for the Tsinghua University entrance exam for college mathematics. The predecessor of the College Mathematics series was College Mathematics—Concepts, Methods, and Techniques. After comprehensive revision and redesign, this book has further enhanced readability and added some new examples. The entire book is primarily designed for non-mathematics undergraduates in universities and candidates for the National Unified Entrance Examination for Master's Degree to systematically review college mathematics content, aiming to consolidate and improve acquired knowledge and achieve good exam results. The book explains the basic concepts, fundamental theorems, and key points of single-variable calculus. Starting from the background and applications of basic concepts and theorems, it extends to problem-solving approaches, methods, and techniques, while also covering the comprehensive and cross-application of knowledge through methods like "one method for multiple problems" and "multiple solutions for one problem." In terms of content arrangement, it reflects the logical connection between different knowledge points, maintains the systematic structure of the discipline, and also considers the horizontal links between them, providing readers with a platform to grasp the knowledge holistically. To reinforce the basic concepts and theorems, fundamental problems and comprehensive examples are included, along with analysis processes and annotations on difficult points. Each chapter is accompanied by practice exercises to offer readers opportunities for self-training. This book is suitable for students in science, engineering, agriculture, medicine, economics, and management at universities, as well as candidates preparing for the National Unified Entrance Examination for Master's Degree. It can also serve as a teaching reference for relevant courses.