Advanced Mathematics (English Version·part 2)

This book is an all-English textbook written in response to the internationalization needs of Southeast University and based on the basic requirements for teaching basic mathematics courses for engineering undergraduates formulated by the National Ministry of Education's Basic Mathematics Course Teaching Guidance Subcommittee for Non-Mathematics Majors, and combined with Southeast University's years of practical experience in teaching reform. The whole book is divided into two volumes, the upper and lower volumes. This is the second volume, which mainly includes six parts: series, space analytic geometry, differential calculus of multivariate functions, multiple integrals and applications, complex variable functions, and vector fields. This book describes the basic concepts clearly and accurately, and the discussion of the basic theories is concise and easy to understand. The selection of examples and exercises is typical and diverse, and it emphasizes the cultivation of basic computing skills and the practical application of theories. This book can be used as an English textbook for non-mathematics major undergraduates in higher science and engineering colleges, and can also be used by other majors and social readers.