Calculus (Lower)

Author: Su Dekeng
Publisher:
Publish Date: 2001-06-01
Features: This book is clear in reasoning and rich in examples and exercises. It can be used as a textbook for undergraduate students and is suitable for majors in engineering, science, economics, and management. Based on the author's years of teaching and research experience, as well as extensive input from colleagues and feedback from both within and outside the university, this reformative textbook is divided into two volumes. The second volume consists of 6 chapters, covering main topics such as vector algebra and spatial analytical geometry, multivariable calculus, multiple integrals, line integrals and surface integrals, series, and improper integrals. The book concludes with answers to the exercises. While retaining the traditional Chinese approach of inductive reasoning and logical deduction, this book places greater emphasis on analytical and synthetic thinking. Many theorems are presented using a discovery-based approach, and their proofs are provided through analysis and synthesis. To cultivate students' mathematical literacy and self-discovery abilities, the fundamental content and methods of mathematical modeling are integrated into the book, enabling students to learn how to use mathematical methods to build models and solve real-world problems while studying calculus. Additionally, the book includes applications of calculus in economics, such as compound interest, present value and future value, marginal analysis, elasticity analysis, and income streams.