Advanced Mathematics - (2nd Edition)

Author: Qian Chunlin
Publisher:
Publish Date: 2006-07-01
Features: This book is a national-level planning teaching material for the "15th Five-Year Plan" of general higher education, written according to the newly formulated "Basic Requirements for Teaching of Higher Mathematics in Higher Vocational and Technical Colleges" by the Ministry of Education. The book consists of 15 chapters. Based on the introduction of the concepts of functions and limits, it introduces the operations and methods of derivatives and integrals using the concept of limits, as well as the methods of using calculus to solve engineering and other practical problems. It also applies ordinary differential equations, infinite series, and matrices to solving practical problems. Finally, it introduces the use of mathematical experiments to solve practical problems or more complex calculus problems. The book emphasizes practical application, with examples in each chapter explaining problem-solving approaches and teaching students how to establish mathematical models. Each chapter includes a summary, which reviews the basic concepts, theorems, and methods of the chapter. The purpose of the "Analysis of Doubts" is to consolidate the knowledge learned and gradually improve readers' ability to analyze and solve problems using higher mathematics. This book can serve as a teaching material for higher vocational and technical colleges in computer science and engineering disciplines, and is also suitable for teachers, students, and scientific and technological workers in related economic fields to read and reference.