Advanced Mathematics (Volume 2)

Author: Luo Qinglai
Publisher:
Publish Date: 2001-01-21
Features: This textbook is compiled based on the "Basic Requirements for Teaching Higher Mathematics in Higher Industrial Schools" approved by the former State Education Commission, and incorporates the practical experience of long-term teaching reform at Southeast University. The book places greater emphasis on introducing the geometric meaning and background of fundamental concepts, theorems, and important formulas. It highlights the basic ideas and methods of calculus, strengthens the analysis and guidance of teaching methods. In the lower volume, infinite series enhances the concept of function approximation; multivariable calculus integrates vector and matrix methods, laying a solid foundation for further study in modern mathematics. In the final chapter, commonly used approximation methods in calculus are introduced, strengthening the thinking methods of approximation calculations. The book is divided into two volumes. The content of the lower volume includes infinite series, vector algebra and spatial analytical geometry, differentiation of multivariable functions, integration of multivariable scalar-valued functions, integration of vector fields, and approximation calculations in calculus. The answers to the exercises are provided at the end of the book. This textbook is suitable for all majors in higher industrial colleges and can also be used as a reference for self-study.