Advanced Mathematics (Full Volume)

Author: Wang Shengwang Wang Shengwang
Publisher:
Publish Date: 2004-06-01
Features: This book is based on the lecture notes of the author's several calculus courses taught in the United States and China. During the writing process, it incorporates the strengths of some excellent calculus textbooks from both domestic and international sources, with certain sections following the current international practices. With limited, the book systematically, elaborately, and accessibly presents the fundamental content of calculus while striving for rigor and maintaining the correctness of theory. Concepts are introduced from practical contexts and then generalized into abstract ones to facilitate student learning. It also includes a rich selection of exercises for practice. The book is divided into 12 chapters, covering main topics such as sequences, functions, and their limits, differential calculus and integral calculus of single-variable functions and their applications, differential calculus and integral calculus of two-variable functions and their applications, as well as infinite series and ordinary differential equations. This book is suitable for first-year students of vocational colleges, technical colleges, and some applied undergraduate programs.