Advanced Mathematics. I

Author: Wang Kaijie
Publisher:
Publish Date: 2002-08-01
Features: This book can be used as a teaching material for majors in agriculture, forestry, and aquaculture at higher education institutions, and is also suitable for non-mathematics majors at other universities. It is a research outcome of the Ministry of Education's "Reform Plan for Teaching Content and Curriculum Systems in Higher Education Towards the 21st Century" and is a curriculum textbook for the 21st century. When dealing with the classical content of single-variable calculus, the book emphasizes the introduction of mathematical ideas, focuses on explaining the practical background and geometric meaning of the content, and includes many applied examples. For problem-solving methods, it highlights basic methods while downplaying various complex techniques. Additionally, it integrates computer applications by introducing related mathematical experiments. The main contents of the book include: functions, limits, and continuity; derivatives and differentials; mean value theorems and applications of derivatives; definite integrals; applications of definite integrals; and differential equations.