Advanced Mathematics

Author: Yu Guiping
Publisher:
Publishing Date: 2005-07-01
Features: This book is compiled based on the "Basic Requirements for Teaching of Fundamental Courses in Higher Vocational and Technical Education" formulated by the Ministry of Education, combined with the authors' many years of teaching experience and the achievements of reform in higher vocational and technical education. The content of the book includes: Functions, Limits and Continuity, Derivatives and Differentiation, Applications of Derivatives, Indefinite Integrals, Definite Integrals and Their Applications, Ordinary Differential Equations, Vector Algebra and Space Analytic Geometry, Multivariable Function Differential Calculus, Multivariable Function Integration, and Infinite Series. This book has three major features: First, it is application-oriented, emphasizing geometric meaning and practical applications, which is beneficial for cultivating students' awareness and ability in applying mathematics; Second, the content is concise and to the point, while also focusing on integrating mathematical thinking and methods, making it convenient for teachers to teach and students to self-study; Third, the chapter and section formats are practical, with thinking questions and exercises in each section, key knowledge points, review questions, and self-assessment questions in each chapter, and answers provided at the end of the book, facilitating teaching and learning. This textbook can be used as a higher mathematics textbook for all majors in higher vocational and technical colleges, and can also be referenced by students seeking to upgrade their qualifications and related personnel. This book is compiled based on the "Basic Requirements for Teaching of Fundamental Courses in Higher Vocational and Technical Education" formulated by the Ministry of Education, combined with the authors' many years of teaching experience and the achievements of reform in higher vocational and technical education. The content of the book includes: Functions, Limits and Continuity, Derivatives and Differentiation, Applications of Derivatives, Indefinite Integrals, Definite Integrals and Their Applications, Ordinary Differential Equations, Vector Algebra and Space Analytic Geometry, Multivariable Function Differential Calculus, Multivariable Function Integration, and Infinite Series. This book has three major features: First, it is application-oriented, emphasizing geometric meaning and practical applications, which is beneficial for cultivating students' awareness and ability in applying mathematics; Second, the content is concise and to the point, while also focusing on integrating mathematical thinking and methods, making it convenient for teachers to teach and students to self-study; Third, the chapter and section formats are practical, with thinking questions and exercises in each section, key knowledge points, review questions, and self-assessment questions in each chapter, and answers provided at the end of the book, facilitating teaching and learning. This textbook can be used as a higher mathematics textbook for all majors in higher vocational and technical colleges, and can also be referenced by students seeking to upgrade their qualifications and related personnel.