Advanced Mathematics (Applied)

Author: Pan Kai, Editor-in-Chief
Publisher:
Publish Date: 2005-02-01
Features: This book is compiled based on the newly formulated "Basic Requirements for Teaching Higher Mathematics in Higher Vocational and Technical Education" and "Talent Cultivation Objectives and Specifications for Higher Vocational and Technical Education" by the Ministry of Education. It draws on the strengths of similar textbooks and the achievements of teaching reform in practical teaching. It integrates scientific rigor, practicality, uniqueness, modernity, innovation, and accessibility, with an application-oriented approach and a principle of necessity and sufficiency. It emphasizes the cultivation of students' mathematical literacy and abilities. The book is divided into two parts: Basic Concepts and Applications, covering topics such as limits and continuity, derivatives and differentials, mean value theorems and applications of derivatives, indefinite integrals, definite integrals and their applications, calculus of multivariable functions, ordinary differential equations, infinite series, determinants, matrices, linear equations, an introduction to probability and mathematical statistics, and a brief overview of mathematical experiments. Each chapter includes a summary and self-test questions to facilitate self-study and improvement. The book also provides reference answers and appendices for readers to consult. This book is part of the planned teaching materials for high-quality courses in higher vocational and technical education institutions and can also serve as a textbook for adult higher education in mathematics or a teaching reference for related teachers.