Advanced Mathematics, Volume 1 (This book can be used as a textbook for "Advanced Mathematics" in various disciplines such as engineering and economics at higher vocational colleges, and can also serve as a reference book for teachers and engineering technicians.)

Author: Shanghai Jiao Tong University
Publisher:
Publish Date: 2002-08-01
Features: This book strives to reflect the spirit of teaching reform in the textbook, emphasizing the cultivation of students' qualities and abilities through the curriculum. The book strengthens the introduction of mathematical concepts and theories from practical problems and analyzes them from geometric and numerical perspectives, while also increasing the number of applied examples and exercises. It enhances the role of computers in teaching assistance by fully utilizing mathematical software in conjunction with the teaching content, with a "Demonstration and Experiment" section at the end of each chapter, accompanied by a CD-ROM. The book focuses on "simplicity," aiming to be easy to understand, progressive, inspiring, and convenient for self-study. This textbook is based on the "Basic Requirements for the Teaching of Higher Mathematics" promulgated by the State Education Commission in 1995. The book is divided into two volumes: Volume 1 covers single-variable calculus and differential equations (seven chapters), while Volume 2 covers multivariable calculus and series (five chapters). An appendix at the end of the book includes applied topics in calculus, a table of common integrals, and reference answers to exercises.