University Mathematics (Volume 2)

Author: Chen Zhong
Publisher:
Publish Date: 1998-12-01
Features: This book is a textbook for undergraduate courses in physics, computer science, electronics, and other series of "College Mathematics" in comprehensive universities. It meets the requirements of the "Basic Requirements for Teaching Higher Mathematics in Physics Majors of Comprehensive Universities" reviewed by the State Education Commission in 1989, as well as the "National Unified Entrance Examination for Master's Degree Mathematics Syllabus" formulated by the Ministry of Education in 1998. The book is divided into two volumes. The first volume includes single-variable calculus, an introduction to linear algebra, advanced analytical geometry, differential calculus of multivariable functions, and multiple integrals. The second volume covers line and surface integrals, series and improper integrals, linear algebra, and differential equations. The book systematically organizes and progresses through the three parts: "Calculus," "Differential Equations," and "Linear Algebra." The entire book strives for systematicity in fundamental theories and rigor in exposition, appropriately applying modern mathematical perspectives and methods. Some classical content is optimized or deepened, and new proofs are provided for certain theorems by the authors. The book is rich in examples and exercises, which helps improve the reader's analytical skills. Solutions and hints to the exercises are provided at the end of the book. This book can be used as a textbook for comprehensive universities, science and engineering universities, and normal universities. It is also suitable for engineers and technicians to read.