Calculus

Author: Liu Shutian, Editor-in-Chief
Publisher:
Publishing Date: 2004-06-01
Features: This book is a textbook for undergraduate students majoring in economics and management at universities, serving as their foundational mathematics course. The content includes: functions, limits and continuity, derivatives and differentials, mean value theorems and applications of derivatives, applications of differential calculus in economics, indefinite integrals, definite integrals, multivariable calculus, infinite series, differential equations, and difference equations. This book is compiled in accordance with the teaching syllabus of "Fundamentals of Economic Mathematics," reflecting the spirit of reform in teaching content and curricula for higher education in the 21st century, incorporating successful measures in current textbook reforms, and based on years of teaching practice. The book comprehensively and systematically explains the fundamental concepts, theorems, and methods of calculus. Each section is accompanied by exercises closely related to the textbook content, and each chapter includes a comprehensive set of review exercises. At the end of the book, reference answers and hints for solving problems are provided. The book is characterized by clear concepts, rigorous structure, progressive explanations, easy-to-understand language, abundant examples, emphasis on summarization, practical methods, focus on applications, and ease of self-study. This book can also serve as a textbook or teaching reference for students preparing for self-study exams in economics and management, as well as for those taking exams for upgrading to higher education.