Study Guide and Improvement for Advanced Mathematics. Volume 1: Science and Engineering: Science and Engineering

Author: Xu Bing
Publisher:
Publish Date: 2001-10-01
Features: This book is a supplementary textbook that is synchronized with the chapters of advanced mathematics textbooks, focusing on and delving into the fundamental requirements of teaching: it provides a more thorough summary and induction of basic concepts, properties, and methods; it emphasizes the vertical comparative analysis of concepts, properties, and methods. The book includes a variety of problem solutions to facilitate students' mastery of the aforementioned "three basics." The examples include adaptations of some typical examples from the textbook to expand their knowledge points; they also feature adaptations of frequently encountered problems for students to highlight problem-solving ideas and key points. This book is a guide infused with the teaching experience of educators. It can serve as a supplementary textbook for science and engineering students studying advanced mathematics.
The definite integral applies to bounded functions over a finite interval. When the interval is infinite, it becomes an improper integral with infinite limits; when the function is unbounded, it becomes an improper integral. Some properties of definite integrals do not apply to improper integrals, especially in symmetric intervals—do not make the mistake shown in this example.