Engineering Mathematics Analysis (Theoretical Focus) (Volumes 1 and 2)

Author: Bao Gejun, Editor-in-Chief
Publisher:
Publish Date: 2000-05-24
Features: This book is based on the fundamental requirements for teaching higher mathematics in undergraduate engineering schools promulgated by the former State Education Commission in 1995. It is specifically designed for students pursuing a combined Bachelor's and Master's degree program, as well as non-mathematics majors with a high demand for mathematics. The book incorporates the distinctive features and teaching experience accumulated over the years in our university's textbook development.
Engineering Mathematics Analysis (Volume 1) consists of six chapters, covering main topics such as limits and functions, derivatives and differentials, applications of derivatives, indefinite integrals, definite integrals, and differential equations. In terms of course structure, the book emphasizes fundamental concepts, theories, and methods with significant impact, such as the concept of limits, the mean value theorem, Taylor's formula, and criteria for integrability of functions. Each section includes a sufficient number of exercises, some of which are comprehensive and challenging. This book can serve as a textbook for engineering mathematics analysis courses in science and engineering colleges for non-mathematics majors, as well as a reference for candidates preparing for postgraduate entrance exams and engineering technicians.
This book is based on the fundamental requirements for teaching higher mathematics in undergraduate engineering schools promulgated by the former State Education Commission in 1995. It is specifically designed for students pursuing a combined Bachelor's and Master's degree program, as well as non-mathematics majors with a high demand for mathematics, and incorporates the distinctive features and teaching experience accumulated over the years in Harbin Institute of Technology's textbook development.
Engineering Mathematics Analysis (Volume 2) consists of six chapters, covering main topics such as series, differential calculus of multivariable functions, the implicit function theorem and its applications, multiple integrals, integrals with parameter variables, and line integrals and surface integrals. In terms of course structure, the book emphasizes fundamental concepts, theories, and methods with significant impact in this course and related disciplines, such as the convergence theory of series, the implicit function theorem, multiple integrals and line integrals, as well as the existence theorems for surface integrals. Each section includes a sufficient number of exercises, some of which are comprehensive and challenging. This book can serve as a textbook for engineering mathematics analysis courses in universities for science and engineering majors, as well as a reference for candidates preparing for postgraduate entrance exams and engineering technicians.