Advanced Mathematics

Author: Du Jipe
Publisher:
Publish Date: 2005-06-01
Features: This set of teaching materials is a five-year higher vocational education textbook and has been included in the "Recommended Teaching Materials for Vocational Education and Adult Education by the Ministry of Education." The entire set of textbooks is published in three volumes: "Elementary Mathematics," "Advanced Mathematics," and "Technical Mathematics." This book is "Advanced Mathematics." The overall writing principle of the textbook is to focus on practical applications. The textbook downplays mathematical theory derivation and emphasizes the cultivation of mathematical abilities, highlighting the establishment of mathematical models and the correct use of mathematical tools. The selection of textbook content is based on the principle of "necessary and sufficient," striving for innovation. The specific arrangement follows the principle of proceeding from simple to complex, from concrete to abstract, and gradual progress, and strives to achieve clear concepts, logical organization, concise language, and ease of understanding and mastery. The textbook adapts its writing style to the age characteristics and psychological traits of students; in knowledge processing, it aligns with the cognitive patterns of students at different stages, emphasizing the use of advanced teaching methods and modern mathematical concepts to cultivate students' mathematical literacy and comprehensive abilities; in language expression, it strives for simplicity and clarity, enhancing interest and readability. This book is divided into fifteen chapters: Chapter 11, Limits and Continuity. Chapter 12, Differential Calculus and Applications. Chapter 13, Integral Calculus and Applications. Chapter 14, Series. Chapter 15, Differential Equations.