Calculus (Lower Half)

Author: Shanghai Jiao Tong University
Publisher:
Publishing Date: 2003-01-01
Features: This calculus textbook is adapted from the long-standing "Advanced Mathematics" originally compiled by the Department of Applied Mathematics at Shanghai Jiao Tong University. This volume primarily covers the content of spatial analytical geometry, multivariable calculus, and series. The book is divided into 5 chapters: Vector Algebra and Spatial Analytical Geometry; Multivariable Function Differential Calculus; Multiple Integrals; Line Integrals and Surface Integrals; Series. While maintaining the traditional framework of a calculus textbook, the book presents concepts in a concise and clear manner, with a structure designed to align with modern mathematical characteristics. It emphasizes the fundamental ideas and methods of differential calculus. The book provides a large number of examples and includes (matching exercises) and supplementary problems for students of different levels. Answers to all computational problems are provided at the end of the book. This textbook can be used as a teaching material or reference book for non-mathematics majors in higher education institutions.