Finally, I read the book Linear Algebra and Its Application David C. Lay intermittently. I have to say that it is indeed a classic book. There is a sense of mutual sorrow (in fact, I thought the book was quite good at the beginning ). I feel that the books written by foreigners are very popular. They really want to teach people to understand and learn something, rather than reading a lot of textbooks in China, that is, how profound is it on purpose. After reading this book, I thought how to use the linear algebra, engineering matrix, and so on. When I used to learn this, I used to answer questions, write down formulas, theorems, and why? No matter how it comes. In addition, many titles contain the word "application". In fact, the content is still a bunch of theoretical derivation, and I have not seen any application. This makes it a headache for me to study engineering. I have learned a lot of mathematical knowledge and used some engineering technologies. However, I cannot get in touch with it. I don't have a concept of a mathematical model.
The book provides a lot of geometric explanations for linear algebra. I have browsed several online-the geometric meaning of Linear Algebra-1-5, it looks like the first few chapters of a book. The author is also an Engineering expert, in fact, the geometric interpretations of various transformations or concepts mentioned in the meanings are described in this book (linear algebra and Its Application) and are more organized, if you want to increase your understanding of the line generation, read this book.
I feel that this book is indeed worthy of the word "application" in the title of the book. At the beginning of each chapter, I will first introduce a practical application, which will be followed by a review of relevant knowledge, click the mathematical model and analyze it. Such teaching materials are truly suitable for engineering students. They should be associated with actual engineering technologies, so that we can learn what these mathematical knowledge is and how they can be used, learn well and really learn how to solve problems only when you encounter new problems.
This book was found when I searched for the mathematical knowledge related to machine learning and machine vision. This was a web site I found to introduce the relevant mathematical knowledge: http://bbs.sciencenet.cn/home.php? Mod = space & uid = 240720 & do = blog & id = 284694 many classic books are mentioned above, but it does not seem to have this linear algebra book. It is another MIT teaching material, there are related open course videos. The books are said to be classic. If you plan to have time, read more, now I have found two Chinese editions of "Practical multivariate statistical analysis" and "introduction and application of Functional Analysis" from the library (this book is as big as I am, and it is a yellow paper ). Take a look at these two books before graduation.
The other books mentioned on the website have also found basic electronic versions from the Internet. Unfortunately, most of them are in English, but it is good. On the one hand, when you exercise English, on the other hand, a good book may be poorly translated, do not read it.